Repository navigation
Expand file tree
/
Copy pathinterpretations.tsv
More file actions
We can make this file beautiful and searchable if this error is corrected: Illegal quoting in line 404.
1524 lines (1524 loc) · 95 KB
/
Copy pathinterpretations.tsv
File metadata and controls
1524 lines (1524 loc) · 95 KB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
name interpretation
\cbl left curly brace (open only)
\cb auto-sized curly braces around argument
\cbmat matrix wrapped in auto-sized curly braces
\paren auto-sized parentheses around argument
\pmat matrix formatted with parentheses (pmatrix)
\sparen fixed-size parentheses around argument
\sb auto-sized square brackets around argument
\distop operator-name distribution/function dispatcher
\sbmat matrix formatted with square brackets (bmatrix)
\Prf Pr(·) probability expression
\am arg max operator
\argmax arg max operator (alias for \am)
\amin arg min operator
\argmin arg min operator (alias for \amin)
\p probability density/mass function symbol p
\f probability density function symbol f
\F cumulative distribution function symbol F
\h hazard function symbol h
\H cumulative hazard function symbol H
\pr probability function symbol (alias for \p)
\dens probability density symbol (alias for \p)
\pdens probability density symbol (alias for \p)
\fdens f-style density symbol (alias for \f)
\mass probability mass symbol (alias for \P)
\pmass probability mass symbol (alias for \P)
\fmass F-style mass symbol (alias for \F)
\S survival function symbol S
\Sf survival function S(·) applied to argument
\surv survival function symbol (alias for \S)
\survf survival function applied to argument (alias for \Sf)
\survratio survival ratio ϙ_S (ratio symbol with survival subscript)
\rsurv survival ratio (alias for \survratio)
\survr survival ratio (alias for \survratio)
\survratiof survival ratio function ϙ_S(·)
\rsurvf survival ratio function (alias for \survratiof)
\survrf survival ratio function (alias for \survratiof)
\riskset risk set symbol ℛ (survival analysis)
\risksetf risk set at time t: ℛ(t)
\Q quantile function symbol Q
\quantile quantile function symbol (alias for \Q)
\Qf quantile function Q(·) applied to argument
\quantilef quantile function applied to argument (alias for \Qf)
\hQ estimated quantile function Q̂; deprecated, use \eQ
\hquantile estimated quantile function (alias for \hQ); deprecated, use \equantile
\hQf estimated quantile function Q̂(·) applied to argument; deprecated, use \eQf
\hquantilef estimated quantile function applied to argument (alias for \hQf); deprecated, use \equantilef
\ph estimated probability p-hat; deprecated, use \ep
\P probability operator ℙ (blackboard bold)
\hp estimated probability (alias for \ph); deprecated, use \ep
\ga Greek letter alpha (α)
\a Greek letter alpha (alias for \ga)
\b Greek letter beta (β)
\g Greek letter gamma (γ)
\floor floor function ⌊·⌋
\ceiling ceiling function ⌈·⌉
\ceil ceiling function (alias for \ceiling)
\Ber Bernoulli distribution label
\Bernoulli Bernoulli distribution label (long form)
\Pois Poisson distribution label
\Poisson Poisson distribution label (long form)
\Gaus Gaussian distribution label
\Normal Normal distribution label N
\ndist Normal distribution expression N(·)
\NB Negative Binomial distribution label
\NegBin Negative Binomial label (long form)
\vbeta beta coefficient vector
\vcoef coefficient vector (alias for \vbeta)
\regcoef regression coefficient symbol β
\Regcoef uppercase regression coefficient symbol B (italic, because a coefficient is a variable)
\coef regression coefficient for covariate (β_x)
\Coef uppercase regression coefficient for covariate (B_x)
\intcoef regression intercept (β_0)
\Intcoef uppercase regression intercept (B_0)
\vb beta vector (alias for \vbeta)
\vzero zero vector
\vone vector of ones
\gb Greek letter beta (alias for \b)
\gg Greek letter gamma (alias for \g)
\gd Greek letter delta (δ)
\eps varepsilon error term (ε)
\cdev deviation from conditional mean (alias for \popdev, symbol δ; the noise is \Noise, which prints ε)
\veps error vector (ε-vector)
\epsp ε(·) error function
\epsf ε(·) error function (alias for \epsp)
\om Greek letter omega (ω)
\m Greek letter mu / population mean (μ)
\mean population mean symbol μ
\pmean population mean symbol (alias for \mean)
\popmean population mean symbol (alias for \mean)
\vm mean vector (μ-vector)
\s Greek letter sigma (σ)
\l Greek letter lambda (λ)
\gl Greek letter lambda (alias for \l)
\lam Greek letter lambda (alias for \l)
\k Greek letter kappa (κ)
\cs conditional survival probability Pr(T>t|T≥t)
\condsurv conditional survival probability (alias for \cs)
\gs Greek letter sigma (alias for \s)
\gm Greek letter mu (alias for \m)
\M uppercase M symbol (italic variable, alias for mean/moment)
\gM uppercase M symbol (alias for \M)
\Mu uppercase M symbol (alias for \M)
\cd centered dot multiplication symbol (·)
\cds centered ellipsis (⋯)
\lds lower ellipsis (…)
\eqdef equals-by-definition symbol (≝)
\defeq equals-by-definition (alias for \eqdef)
\eqby equals sign with the reason written over it (prints \eqby{\text{Thm 2}})
\hb estimated beta coefficient β̂; deprecated, use \eb
\hcoef estimated regression coefficient for covariate (β̂_x); deprecated, use \ecoef
\hintcoef estimated regression intercept (β̂_0); deprecated, use \eintcoef
\hvb estimated beta vector (β̂-vector); deprecated, use \evb
\hvcoef estimated coefficient vector (alias for \hvb); deprecated, use \evcoef
\vhcoef estimated coefficient vector (transposed-letter alias for \hvb)
\hR Gelman-Rubin convergence diagnostic (potential scale reduction factor, R-hat); deprecated, use \eR
\hk estimated kappa κ̂; deprecated, use \ek
\hkappa estimated kappa (alias for \hk); deprecated, use \ekappa
\hl estimated lambda λ̂; deprecated, use \el
\hy fitted / predicted value ŷ; deprecated, use \ey
\yh fitted value ŷ (alias for \hy); deprecated, use \ey
\fitted fitted or predicted value (alias for \hy)
\V variance operator symbol Var
\hs estimated sigma σ̂; deprecated, use \es
\hsig estimated sigma (alias for \hs); deprecated, use \esig
\hS estimated covariance matrix Σ̂; deprecated, use \eS
\hSig estimated Sigma (alias for \hS); deprecated, use \eSig
\hSigma estimated Sigma (alias for \hS); deprecated, use \eSigma
\hsurv estimated survival function; deprecated, use \esurv
\hSurv estimated survival function (alias for \hsurv); deprecated, use \eSurv
\hSurvf estimated survival function Ŝ(·) applied to argument; deprecated, use \eSurvf
\dist distributes as relation (∼)
\ddist approximately distributes as (∿)
\dsim approximately distributes as (alias for \ddist)
\za normal critical value z_{1−α/2}
\ciradsym confidence interval radius symbol (ξ)
\cirad confidence interval radius expression
\ciradf confidence interval radius with argument
\ci full confidence interval expression
\th Greek letter theta (θ)
\vth theta parameter vector
\Th uppercase Theta (Θ)
\smean sample mean of the quantity in the argument, a bar over it (prints a bar over its argument)
\xbar sample mean x̄
\samplemean sample mean of n random variables, X̄_n (arguments: the variable and the sample size)
\hth estimated theta θ̂; deprecated, use \eth
\hthml maximum likelihood estimate of theta; deprecated, use \ethml
\ba begin aligned math environment
\ea end aligned math environment
\ind statistical independence symbol (⊥⊥)
\indpt independence symbol (alias for \ind)
\indold independence symbol (legacy Unicode)
\all universal quantifier (∀)
\iid i.i.d. label
\ciid conditionally i.i.d. label
\simind independently distributed relation
\siid i.i.d. distributed relation
\sciid c.i.i.d. distributed relation
\simiid i.i.d. distributed (alias for \siid)
\distiid i.i.d. distributed (alias for \siid)
\tf therefore symbol (∴)
\Lik likelihood script symbol (ℒ)
\llik log-likelihood symbol (ℓ)
\loss loss function symbol (L)
\lossf loss function applied to its arguments, L(·)
\obsloss loss on one observation, ℓ_i (argument: the observation index)
\poprisk population (true) risk symbol R: the expected loss of a model
\popriskf population risk of a model, R(·)
\lpnorm name of an ℓ_p norm or penalty, such as ℓ_1 or ℓ_2 (argument: p)
\lbound a lower bound of a set (ℓ)
\ubound an upper bound of a set (u)
\hf fitted prediction function (f̂); deprecated, use \epredfn
\hfx fitted prediction function applied to its argument, f̂(·); deprecated, use \epredfnf
\loglik log-likelihood symbol (alias for \llik)
\logl log-likelihood symbol (alias for \llik)
\llikf log-likelihood function ℓ(·)
\Likf likelihood function ℒ(·)
\loglikf log-likelihood function ℓ(·) (alias for \llikf)
\loglf log-likelihood function ℓ(·) (alias for \llikf)
\likf log-likelihood function ℓ(·) (alias for \llikf)
\deviance deviance of a fitted model: twice the gap between the saturated model's log-likelihood and its own (prints the upright name dev, because an abbreviation is a name)
\nulldeviance null deviance: the deviance of the intercept-only model
\satllik maximized log-likelihood of the saturated model
\satdeviance deviance relative to the saturated model: twice the difference between the saturated model's and the fitted model's maximized log-likelihoods
\dicdev Bayesian deviance used by the deviance information criterion: minus twice the log-likelihood, with no saturated term (prints \deviance_{\mathrm{DIC}})
\dicdevf Bayesian deviance at a parameter value, dev_DIC(·) (prints \dicdev followed by its argument in parentheses)
\deviation deviation symbol δ
\devn deviation symbol (alias for \deviation)
\deviationv deviation vector (the vec accent applied to δ)
\devnv deviation vector (alias for \deviationv)
\deviationf deviation of the first argument from the reference value in the second, δ_r(z)
\smeandev deviation of the sample mean, the sample mean of the deviations (prints \smean{\deviation}, δ with a bar)
\popdev deviation from a population mean, symbol δ (alias for \deviation; the noise is \Noise, which prints ε)
\popdevf deviation of the argument from its population mean, δ_z
\Deviation uppercase deviation symbol Δ
\Devn uppercase deviation (alias for \Deviation)
\residual residual symbol ε̂: the estimate of the noise \Noise (via \est)
\resid residual, observed minus predicted outcome (alias for \residual)
\residv residual vector ε̰̂
\Residual residual symbol ε̂ (alias for \residual; a residual has no separate capital)
\Resid residual (alias for \Residual)
\stdresidual standardized residual ε̂′
\stdresid standardized residual (alias for \stdresidual)
\StdResidual standardized residual ε̂′ (alias for \stdresidual)
\StdResid standardized residual (alias)
\modresidual modified residual ε̂*
\modresid modified residual (alias for \modresidual)
\ModResidual modified residual ε̂* (alias for \modresidual)
\ModResid modified residual (alias)
\devof deviation of the first argument from the reference value in the second (prints the first minus the second inside parentheses; see notation-choices for compound references)
\esterr estimation error: the error ε of the estimate in the first argument for the estimand in the second, ε_estimand(estimate); the estimate minus the estimand, written explicitly with \devof{estimate}{estimand}
\prederr prediction error, predicted minus observed outcome, symbol ε with the upright label pred; same meaning as \esterr{\predval}{\Outvar}
\prederrf prediction error of the predictor in the argument, ε_pred(·) (prints \prederr followed by its argument in parentheses); the estimation error of that predictor for the new outcome, \esterr{predictor}{\Outvar}
\score score function ℓ′
\scorev score vector
\scorei per-observation score vector ℓ′_i
\scorevi per-observation score vector (alias for \scorei)
\scoref score function ℓ′(·)
\hess Hessian of log-likelihood ℓ″
\hessm Hessian matrix (alias for \hess)
\hessian Hessian (alias for \hess)
\hessij (i,j) element of the Hessian
\hessijalt (i,j) Hessian in bracket notation
\hessf Hessian function ℓ″(·)
\hessianf Hessian function (alias for \hessf)
\starf starred / optimal version of argument
\lik log-likelihood (alias for \llik)
\est estimated / hat version of argument
\Est estimated / wide-hat version of argument (for multi-character targets)
\esttmp alternative estimate notation (·̂*)
\esttmpl alternative estimate of lambda
\cR range / codomain symbol ℛ
\range range / codomain (alias for \cR)
\Range range / codomain (alias for \cR)
\rangef range of a function ℛ(·)
\seq sequence (colon range) from first to second argument, e.g. 1:n
\~ approximately equal (≈)
\dapp approximately equal dot notation (≐)
\deriv partial derivative operator ∂/∂(·)
\dderiv second partial derivative ∂²/∂(·)²
\derivf partial derivative ∂f/∂x with numerator
\derivff partial derivative ∂f/∂x (reversed argument order)
\derivfnd alias for \derivf (numerator first, denominator second)
\derivfdn alias for \derivff (denominator first, numerator second)
\dderivf second partial derivative ∂²f/∂x²
\xderiv cross partial derivative ∂²/∂x∂y
\xderivf cross partial ∂²f/∂x∂y with numerator
\xderivff cross partial (reversed argument order)
\grad gradient operator ∇
\gradf gradient of a function, ∇f
\gradwrt gradient with respect to a variable, ∇_θ f
\dif total derivative fraction dF/dt (numerator first, denominator second)
\red typeset argument in red
\green typeset argument in green
\blue typeset argument in blue
\cyan typeset argument in cyan
\magenta typeset argument in magenta
\yellow typeset argument in yellow
\black typeset argument in black
\gray typeset argument in gray
\white typeset argument in white
\darkgray typeset argument in dark gray
\lightgray typeset argument in light gray
\brown typeset argument in brown
\lime typeset argument in lime green
\olive typeset argument in olive
\orange typeset argument in orange
\pink typeset argument in pink
\purple typeset argument in purple
\teal typeset argument in teal
\violet typeset argument in violet
\hE estimated expected value (prints the hat of \Expp, with the argument in square brackets); deprecated, use \eE
\hExp estimated expected value (alias for \hE); deprecated, use \eExp
\hExpf estimated expected value (alias for \hE); deprecated, use \eExpf
\hmu estimated mean μ̂; deprecated, use \emu
\hmuf estimated mean function μ̂(·); deprecated, use \emuf
\Expp expectation operator 𝔼 (no argument; blackboard bold)
\Ep expectation operator (alias for \Expp)
\expit expit / logistic function
\expitf expit applied to argument
\dexpitf derivative of expit function
\logit logit function
\sigmoid logistic (sigmoid) function symbol (σ)
\sigmoidf logistic (sigmoid) function applied to its argument, σ(·)
\logitf logit applied to argument
\E expected value (prints \Expp, with the argument in square brackets)
\Ef expected value (alias for \E)
\Exp expected value (alias for \E)
\Expf expected value (alias for \E)
\Expfc conditional expected value (prints \Expp with the conditioning subscript c and the argument in square brackets)
\ATT average treatment effect on the treated label ATT
\ATTf average treatment effect on the treated function ATT(·)
\evalbar expression followed by an evaluation bar ·|
\evalAt evaluate expression at a given point
\Varr variance operator symbol Var
\Vart variance operator symbol (alias for \Varr)
\hvar estimated variance operator (hat); deprecated, use \evar
\hvart estimated variance operator (alias for \hvar); deprecated, use \evart
\Covt covariance operator symbol Cov
\hcovt estimated covariance operator; deprecated, use \ecovt
\hCovt estimated covariance operator (alias); deprecated, use \eCovt
\var variance function Var(·)
\varf variance function (alias for \var)
\Var variance function (alias for \var)
\hVar estimated variance function V̂ar(·); deprecated, use \eVar
\Varf variance function (alias for \var)
\hvarf estimated variance function (alias for \hVar); deprecated, use \evarf
\Cov covariance function Cov(·)
\Covs bivariate covariance Cov(·,·)
\Covf covariance function (alias for \Cov)
\covh estimated covariance function Ĉov(·)
\covhf estimated covariance function (alias)
\hcovf estimated covariance function (alias); deprecated, use \ecovf
\aVar asymptotic variance aVar(·)
\aCov asymptotic covariance aCov(·)
\cum cumulative-exposure operator cum(·)
\Cort correlation operator symbol Cor
\hcort estimated correlation operator; deprecated, use \ecort
\Cor correlation function Cor(·)
\Corf correlation function (alias for \Cor)
\Cors bivariate correlation Cor(·,·)
\hCor estimated correlation function Ĉor(·); deprecated, use \eCor
\hCorf estimated correlation function (alias); deprecated, use \eCorf
\hCors estimated bivariate correlation; deprecated, use \eCors
\med median operator symbol
\medf median function med(·)
\IQR interquartile range operator symbol
\IQRf interquartile range function IQR(·)
\varht estimated variance operator (hat, alias); deprecated, use \evar
\varh estimated variance function (alias)
\varhf estimated variance function (alias)
\vc bold vector notation for argument
\sd standard deviation function sd(·)
\SD standard deviation function SD(·)
\hSD estimated standard deviation SD̂(·); deprecated, use \eSD
\hSDf estimated standard deviation (alias); deprecated, use \eSDf
\se standard error function se(·)
\hset estimated standard error operator ŝe; deprecated, use \eset
\hSE estimated standard error operator ŜE; deprecated, use \eSE
\hSEt estimated SE operator (alias for \hSE); deprecated, use \eSEt
\sef standard error function (alias for \se)
\hse estimated standard error ŝe(·); deprecated, use \ese
\hsef estimated standard error (alias for \hse); deprecated, use \esef
\SE standard error function SE(·)
\SEf standard error function (alias for \SE)
\SDf standard deviation function (alias for \SD)
\HSE estimated standard error function (alias); deprecated, use \eSEf
\hSEf estimated standard error function (alias); deprecated, use \eSEf
\logt log operator symbol
\logf log{·} function applied to argument
\lnf natural log function applied to its argument, ln(·)
\maxf maximum of a comma-separated list, max(·)
\minf minimum of a comma-separated list, min(·)
\sinf sine function applied to its argument, sin(·)
\cosf cosine function applied to its argument, cos(·)
\tanhf hyperbolic tangent function applied to its argument, tanh(·)
\detf determinant of its argument, det(·)
\dlog derivative of log (log′)
\dlogf derivative of log applied to argument
\exp exponential function exp{·}; takes one argument, so never write it bare: use \expf{·} or \expt with your own delimiters
\expt exp operator symbol
\expf exponential function (alias for \exp)
\expfn exponential function (alias for \exp)
\dexp derivative of exponential (exp′)
\dexpf derivative of exp applied to argument
\euler Euler's number e (roman)
\e e^(·) exponential notation
\ef e^(·) exponential notation (alias for \e)
\inv multiplicative inverse (·)^{−1} with parentheses
\invf multiplicative inverse (alias for \inv)
\invp multiplicative inverse (alias for \inv)
\invcb inverse with curly braces {·}^{−1}
\invsb inverse with square brackets [·]^{−1}
\oinf observed information symbol I
\oinfm observed information matrix symbol
\Nat natural numbers set ℕ (blackboard-bold)
\oinff observed information function I(·)
\einf expected (Fisher) information symbol ℐ
\EInf expected information (alias for \einf)
\FInf Fisher information (alias for \einf)
\einfm expected information matrix symbol
\einff expected information function ℐ(·)
\heinf estimated Fisher information ℐ̂; deprecated, use \eeinf
\heinff estimated Fisher information function ℐ̂(·); deprecated, use \eeinff
\1 indicator function 1_{·} (upright subscript style)
\indic indicator function 𝟙_{·} (blackboard bold)
\indicp indicator function 𝟙(·) with parentheses
\indiccb indicator function 𝟙{·} with curly braces
\indicf indicator function (alias for \indic)
\set set notation {·}
\pf probability density/mass p(·)
\Pf probability (prints \P with the argument in parentheses)
\Bias bias function Bias(·)
\bias bias function (alias for \Bias)
\ss variance σ²
\ssqf σ²(·) variance as a function
\mselr mean squared error function MSE(·)
\maelr mean absolute error function MAE(·)
\abs absolute value |·|
\norm Euclidean norm ‖·‖
\normsq squared norm ‖·‖²
\card cardinality (number of elements) of a finite set |·|
\factorial factorial of a non-negative integer n! (prints its argument followed by an exclamation mark)
\binomial binomial coefficient, "n choose k" (prints \binom{n}{k})
\powf first argument (·) raised to the power of the second argument, with parentheses around the base
\sqf square of argument (·)²
\devsq squared deviation of the first argument from the reference value in the second (δ_r(z))²
\ssdev sum over i = 1, ..., n of the squared deviation of the observation from the argument (·), via \devsq
\sq square superscript ² (postfix)
\err error term ε (alias for \eps); the same symbol as the noise \Noise
\erf error function ε(·); for an estimate, the estimation error (estimate minus truth), written \esterr{estimate}{truth}
\vec vector notation (undertilde style)
\vecf vector notation (alias for \vec)
\v vector shorthand (alias for \vecf)
\matr matrix notation (bold style)
\mX predictor matrix X (bold): the matrix of covariate values; the design matrix built from a feature map is \design
\mx design matrix x lowercase (bold)
\va vector a (a̰)
\vx vector x (x̰)
\vxs starred/reference vector x* (x̰*)
\diff difference operator Δ
\diffvx difference in x-vector Δx̰
\vxi i-th observation vector x̰_i
\vX random vector X (X̰)
\vy outcome vector y (y̰)
\vY uppercase outcome vector Y (Y̰)
\outvar outcome variable, observed value (prints y)
\Outvar outcome variable, random variable (prints Y)
\voutvar vector of observed outcomes (prints y̰)
\vOutvar random vector of outcomes (prints Y̰)
\eoutvar predicted outcome, through \est (prints ŷ)
\veoutvar vector of predicted outcomes (prints a tilde under ŷ)
\predvar predictor variable, observed value (prints x)
\Predvar predictor variable, random variable (prints X)
\vpredvar vector of one observation's predictor values (prints x̰)
\mpredvar input matrix: the predictor vectors of all n observations, one per row (prints bold X, like \mX, the usual textbook form)
\vPredvar random vector of predictors (prints X̰)
\vresid vector of residuals, observed minus predicted outcomes (the negative of the prediction errors \prederr) (prints ε̰̂)
\vprederr vector of prediction errors, predicted minus observed outcomes (the vec accent applied to \prederr)
\vz vector z (z̰)
\vZ random vector Z (Z̰)
\vD exposure/treatment vector D (D̰)
\vd exposure vector d lowercase (d̰)
\vT time vector T (T̰)
\vt time vector t lowercase (t̰)
\vpi vector of probabilities π (π̰)
\vw weight vector w (w̰)
\vv vector v (v̰)
\vh vector h, such as hidden-unit values (h̰)
\ve residual vector e (ḛ)
\vu vector u (ṵ)
\vg vector g, such as a gradient (g̰)
\vp vector p, such as a probability distribution (p̰)
\vq vector q, such as a second probability distribution (q̰)
\vr vector r (r̰)
\vconst constant vector c (c̰)
\vdelta vector δ, such as backpropagated errors (δ̰)
\vepsilon vector ϵ (ϵ̰); see also \veps for an error vector
\vphi vector φ, such as features (φ̰)
\mat matrix notation (alias for \matr)
\dsn sequence x₁, …, xₙ
\Xin sequence of random variables X₁, …, Xₙ
\xin sequence of observations x₁, …, xₙ
\yin sequence of outcomes y₁, …, yₙ
\' transpose superscript ⊤
\pt parenthesized transpose (x)′
\tp transpose of argument x′
\dpr dot product symbol (·)
\Xxin paired sequence X₁=x₁, …, Xₙ=xₙ
\dprod dot product of two arguments a·b
\dprodf dot product a·b (alias for \dprod)
\dpf dot product a·b (alias for \dprodf)
\tprod transpose-based product x′y
\tprodf transpose-based product (alias for \tprod)
\angb angle brackets ⟨·⟩ sized to their contents
\iprod inner product ⟨x, y⟩
\iprodf inner product (alias for \iprod)
\oprod outer product x y′
\stprod self transpose-based product x′x
\qform quadratic form of a matrix M in a vector x: x′Mx, written \qform{M}{x}
\siprod self inner product ⟨x, x⟩
\soprod self outer product x x′
\sdprod self dot product x·x
\sdprodf self dot product (alias for \sdprod)
\cossim cosine similarity: dot product divided by the product of the lengths
\cossimf cosine similarity applied to two arguments, cossim(x, y)
\dsvn paired sequence X₁=x₁, …, Xₙ=xₙ (alias)
\sumn sum over index from 1 to n
\sumnf sum over the first argument from 1 to n of the second argument (·)
\sumto sum over the first argument from 1 to the second
\sumtof sum over the first argument from 1 to the second of the third argument (·)
\sumin sum over i from 1 to n
\suminf sum over i from 1 to n of the argument (·)
\sumkK sum over the K distinct covariate patterns, k from 1 to K
\sumkKf sum over k from 1 to K of the argument (·)
\sumiN sum over i from 1 to N
\sumiNf sum over i from 1 to N of the argument (·)
\avgin average over i from 1 to n: one over n times the sum
\avginf average over i from 1 to n of the argument (·)
\avgiN average over i from 1 to N: one over N times the sum
\avgiNf average over i from 1 to N of the argument (·)
\avgto average over the first argument from 1 to the second: one over the second argument times the sum
\avgtof average over the first argument from 1 to the second of the third argument (·)
\avgon average over the observations in an index set: one over the set's size times the sum over its members
\avgonf average over the observations in an index set of the second argument (·)
\sumip sum over i from 1 to p
\sumipf sum over i from 1 to p of the argument (·)
\sumjn sum over j from 1 to n
\sumjnf sum over j from 1 to n of the argument (·)
\sumjp sum over j from 1 to p
\sumjpf sum over j from 1 to p of the argument (·)
\prodin product over i from 1 to n
\prodinf product over i from 1 to n of the argument (·)
\lp linear predictor x′β
\lpdp linear predictor at x (dot product x⃗·β⃗)
\lincomp linear combination symbol η
\odds odds symbol ω
\OR odds ratio label OR
\RD risk difference label RD
\RR risk ratio label RR
\ratio generic ratio symbol ϙ (base for \ror, \hr, and similar ratio macros; subscript denotes the ratio type)
\ratiof generic ratio function ϙ(·)
\ror odds ratio ϙ_ω (ratio symbol with odds subscript)
\orf odds ratio function ϙ_ω(·)
\logodds log-odds symbol η
\logoddsf log-odds function η(·)
\difflogodds difference in log-odds Δη
\hdifflogodds estimated difference in log-odds ΔΗ̂; deprecated, use \edifflogodds
\diffeta difference in eta Δη (alias for \difflogodds)
\oddst odds operator label
\probst probs operator label
\probt prob operator label
\riskt risk operator label
\logoddst log-odds text label
\prob probability symbol π
\probs probability symbol (alias for \prob)
\risk risk symbol π (used as the subscript for \riskratio)
\prev prevalence symbol π (used as the subscript for \prevratio)
\potout potential outcome Y_a (outcome under intervened exposure a)
\potprob potential outcome probability π_a (e.g. Pr(Y_a=1) for binary Y)
\potmean potential outcome mean μ_a (e.g. E[Y_a])
\obsprob observed outcome probability π(a) (given observed exposure a)
\obsmean observed outcome mean μ(a) (given observed exposure a)
\py potential outcome Y_a (shorthand for \potout)
\ppi potential outcome probability π_a (shorthand for \potprob)
\pmu potential outcome mean μ_a (shorthand for \potmean)
\opi observed outcome probability π(a) (shorthand for \obsprob)
\omu observed outcome mean μ(a) (shorthand for \obsmean)
\probit probit link function
\oddsf odds function odds{·}
\doddsf derivative of odds function odds′{·}
\oddsinv inverse odds operator
\invodds inverse odds (alternative notation)
\oddsinvf inverse odds function
\invoddsf inverse odds function (alias)
\doddsinvf derivative of inverse odds function
\dinvoddsf derivative of inverse odds (alias)
\rate rate / hazard symbol λ
\lograte log-rate symbol η
\haz hazard function symbol λ (alias for \rate)
\hazratio hazard ratio ϙ_λ (ratio symbol with hazard subscript)
\hr hazard ratio (alias for \hazratio)
\rhaz hazard ratio (alias for \hazratio)
\hazr hazard ratio (alias for \hazratio)
\hrf hazard ratio function ϙ_λ(·)
\rhazf hazard ratio function (alias for \hrf)
\hazrf hazard ratio function (alias for \hrf)
\rateratio rate ratio ϙ_λ (ratio symbol with rate subscript)
\rater rate ratio (alias for \rateratio)
\rrate rate ratio (alias for \rateratio)
\rateratiof rate ratio function ϙ_λ(·)
\raterf rate ratio function (alias for \rateratiof)
\rratef rate ratio function (alias for \rateratiof)
\riskratio risk ratio ϙ_π (ratio symbol with risk subscript)
\rrisk risk ratio (alias for \riskratio)
\riskr risk ratio (alias for \riskratio)
\riskratiof risk ratio function ϙ_π(·)
\rriskf risk ratio function (alias for \riskratiof)
\riskrf risk ratio function (alias for \riskratiof)
\prevratio prevalence ratio ϙ_π (ratio symbol with prevalence subscript)
\prr prevalence ratio (alias for \prevratio)
\prevratiof prevalence ratio function ϙ_π(·)
\prrf prevalence ratio function (alias for \prevratiof)
\loghaz log-hazard symbol η
\diffloghaz difference in log-hazard Δη
\cuhaz cumulative hazard symbol Λ
\cumhaz cumulative hazard (alias for \cuhaz)
\cuhazratio cumulative hazard ratio ϙ_Λ (ratio symbol with cumulative-hazard subscript)
\rcuhaz cumulative hazard ratio (alias for \cuhazratio)
\cuhazr cumulative hazard ratio (alias for \cuhazratio)
\cuhazratiof cumulative hazard ratio function ϙ_Λ(·)
\rcuhazf cumulative hazard ratio function (alias for \cuhazratiof)
\cuhazrf cumulative hazard ratio function (alias for \cuhazratiof)
\Surv survival function (alias for \surv)
\incidence incidence rate (average hazard)
\phaz expected hazard E[λ] (Poisson hazard)
\idmat identity matrix 𝕀
\and set intersection (∩)
\reglincomb regression linear combination x̰·β̰
\regbetasum expanded regression sum β₁x₁+⋯+βₚxₚ
\pdf probability density function symbol f
\pmf probability mass function ℙ(·)
\cdf cumulative distribution function symbol F
\cdff cumulative distribution function F(·) applied to argument
\hcdf estimated cumulative distribution function F̂; deprecated, use \ecdf
\hcdff estimated cumulative distribution function F̂(·) applied to argument; deprecated, use \ecdff
\defLik definitional expression for likelihood ℒ(θ)
\defLogLik definitional expression for log-likelihood ℓ
\defScore definitional expression for score function ℓ′
\defHess definitional expression for Hessian matrix ℓ″
\thmHessij formula for (i,j) element of the Hessian
\defOInf definitional expression for observed information I
\defEInf definitional expression for expected information ℐ
\thmADistMLE asymptotic normal distribution of the MLE
\eqGLMRatio GLM hazard or odds ratio expression
\defHR definitional expression for hazard ratio
\kerngaus Gaussian distribution kernel exponent
\likgaus Gaussian likelihood expression
\llgaus Gaussian log-likelihood expression
\scoreexpf score function for exponential family
\llexpmean log-likelihood expression for exponential mean model
\signt sign operator symbol
\signf sign function sign{·}
\reals real numbers ℝ
\NA not-available / missing-value placeholder (text "NA")
\ub underbrace shorthand (alias for \underbrace)
\ubf underbrace with subscript label \underbrace{·}_{label}
\dims underbrace annotation labeling an expression with its dimensions, e.g. \dims{X}{n \times p}
\factor generic factor symbol θ (base for \hazfactor, \riskfactor, and similar factor macros; compares one covariate pattern to the baseline; subscript denotes the factor type)
\factorf generic factor function θ(·)
\oddsfactor odds factor θ_ω (factor symbol with odds subscript; odds for a covariate pattern vs. baseline)
\oddsfactorf odds factor function θ_ω(·)
\fodds odds factor (alias for \oddsfactor)
\foddsf odds factor function (alias for \oddsfactorf)
\hazfactor hazard factor θ_λ (factor symbol with hazard subscript; hazard multiplier for a covariate pattern vs. baseline)
\hazfactorf hazard factor function θ_λ(·)
\fhaz hazard factor (alias for \hazfactor)
\fhazf hazard factor function (alias for \hazfactorf)
\ratefactor rate factor θ_λ (factor symbol with rate subscript; rate for a covariate pattern vs. baseline)
\ratefactorf rate factor function θ_λ(·)
\frate rate factor (alias for \ratefactor)
\fratef rate factor function (alias for \ratefactorf)
\riskfactor risk factor θ_π (factor symbol with risk subscript; risk for a covariate pattern vs. baseline)
\riskfactorf risk factor function θ_π(·)
\frisk risk factor (alias for \riskfactor)
\friskf risk factor function (alias for \riskfactorf)
\prevfactor prevalence factor θ_π (factor symbol with prevalence subscript; prevalence for a covariate pattern vs. baseline)
\prevfactorf prevalence factor function θ_π(·)
\fprev prevalence factor (alias for \prevfactor)
\fprevf prevalence factor function (alias for \prevfactorf)
\cuhazfactor cumulative hazard factor θ_Λ (factor symbol with cumulative-hazard subscript; cumulative hazard for a covariate pattern vs. baseline)
\cuhazfactorf cumulative hazard factor function θ_Λ(·)
\fcuhaz cumulative hazard factor (alias for \cuhazfactor)
\fcuhazf cumulative hazard factor function (alias for \cuhazfactorf)
\survfactor survival factor θ_S (factor symbol with survival subscript; survival for a covariate pattern vs. baseline)
\survfactorf survival factor function θ_S(·)
\fsurv survival factor (alias for \survfactor)
\fsurvf survival factor function (alias for \survfactorf)
\ff generic factor function (shorthand for \factorf)
\oddsff odds factor function (shorthand for \oddsfactorf)
\hazff hazard factor function (shorthand for \hazfactorf)
\rateff rate factor function (shorthand for \ratefactorf)
\riskff risk factor function (shorthand for \riskfactorf)
\prevff prevalence factor function (shorthand for \prevfactorf)
\cuhazff cumulative hazard factor function (shorthand for \cuhazfactorf)
\survff survival factor function (shorthand for \survfactorf)
\hprob estimated probability π̂; deprecated, use \eprob
\hprobs estimated probability symbol π̂ (alias for \hprob); deprecated, use \eprobs
\hPr estimated probability with brackets Pr̂[·]; deprecated, use \ePr
\hrisk estimated risk π̂ (alias for \hprob); deprecated, use \erisk
\hprev estimated prevalence π̂ (alias for \hprob); deprecated, use \eprev
\hpoprisk estimated population risk R̂ (hat-wrapped \poprisk); the empirical risk; deprecated, use \epoprisk
\hpopriskf estimated population risk function R̂(·) (hat-wrapped \popriskf); deprecated, use \epopriskf
\hodds estimated odds ω̂; deprecated, use \eodds
\hATT estimated average treatment effect on the treated ATT̂; deprecated, use \eATT
\hATTf estimated average treatment effect on the treated function ATT̂(·); deprecated, use \eATTf
\hrate estimated rate λ̂; deprecated, use \erate
\hhaz estimated hazard λ̂ (alias for \hrate); deprecated, use \ehaz
\hcuhaz estimated cumulative hazard Λ̂; deprecated, use \ecuhaz
\hcumhaz estimated cumulative hazard (alias for \hcuhaz); deprecated, use \ecumhaz
\hratio generic estimated ratio ϙ̂ (hat-wrapped \ratio); deprecated, use \eratio
\hratiof generic estimated ratio function ϙ̂(·); deprecated, use \eratiof
\hror estimated odds ratio ϙ̂_ω (\hratio subscripted by \odds, so the hat covers only the main symbol); deprecated, use \eror
\horf estimated odds ratio function ϙ̂_ω(·); deprecated, use \eorf
\hhazratio estimated hazard ratio ϙ̂_λ (\hratio subscripted by \haz, so the hat covers only the main symbol); deprecated, use \ehazratio
\hhr estimated hazard ratio (alias for \hhazratio); deprecated, use \ehr
\hrhaz estimated hazard ratio (alias for \hhazratio); deprecated, use \erhaz
\hhazr estimated hazard ratio (alias for \hhazratio); deprecated, use \ehazr
\hhrf estimated hazard ratio function ϙ̂_λ(·); deprecated, use \ehrf
\hrhazf estimated hazard ratio function (alias for \hhrf); deprecated, use \erhazf
\hhazrf estimated hazard ratio function (alias for \hhrf); deprecated, use \ehazrf
\hrateratio estimated rate ratio ϙ̂_λ (\hratio subscripted by \rate, so the hat covers only the main symbol); deprecated, use \erateratio
\hrater estimated rate ratio (alias for \hrateratio); deprecated, use \erater
\hrrate estimated rate ratio (alias for \hrateratio); deprecated, use \errate
\hrateratiof estimated rate ratio function ϙ̂_λ(·); deprecated, use \erateratiof
\hraterf estimated rate ratio function (alias for \hrateratiof); deprecated, use \eraterf
\hrratef estimated rate ratio function (alias for \hrateratiof); deprecated, use \erratef
\hriskratio estimated risk ratio ϙ̂_π (\hratio subscripted by \risk, so the hat covers only the main symbol); deprecated, use \eriskratio
\hrrisk estimated risk ratio (alias for \hriskratio); deprecated, use \errisk
\hriskr estimated risk ratio (alias for \hriskratio); deprecated, use \eriskr
\hriskratiof estimated risk ratio function ϙ̂_π(·); deprecated, use \eriskratiof
\hrriskf estimated risk ratio function (alias for \hriskratiof); deprecated, use \erriskf
\hriskrf estimated risk ratio function (alias for \hriskratiof); deprecated, use \eriskrf
\hRD estimated risk difference RD̂; deprecated, use \eRD
\hRR estimated risk ratio RR̂; deprecated, use \eRR
\hprevratio estimated prevalence ratio ϙ̂_π (\hratio subscripted by \prev, so the hat covers only the main symbol); deprecated, use \eprevratio
\hprr estimated prevalence ratio (alias for \hprevratio); deprecated, use \eprr
\hprevratiof estimated prevalence ratio function ϙ̂_π(·); deprecated, use \eprevratiof
\hprrf estimated prevalence ratio function (alias for \hprevratiof); deprecated, use \eprrf
\hsurvratio estimated survival ratio ϙ̂_S (\hratio subscripted by \surv, so the hat covers only the main symbol); deprecated, use \esurvratio
\hrsurv estimated survival ratio (alias for \hsurvratio); deprecated, use \ersurv
\hsurvr estimated survival ratio (alias for \hsurvratio); deprecated, use \esurvr
\hsurvratiof estimated survival ratio function ϙ̂_S(·); deprecated, use \esurvratiof
\hrsurvf estimated survival ratio function (alias for \hsurvratiof); deprecated, use \ersurvf
\hsurvrf estimated survival ratio function (alias for \hsurvratiof); deprecated, use \esurvrf
\hcuhazratio estimated cumulative hazard ratio ϙ̂_Λ (\hratio subscripted by \cuhaz, so the hat covers only the main symbol); deprecated, use \ecuhazratio
\hrcuhaz estimated cumulative hazard ratio (alias for \hcuhazratio); deprecated, use \ercuhaz
\hcuhazr estimated cumulative hazard ratio (alias for \hcuhazratio); deprecated, use \ecuhazr
\hcuhazratiof estimated cumulative hazard ratio function ϙ̂_Λ(·); deprecated, use \ecuhazratiof
\hrcuhazf estimated cumulative hazard ratio function (alias for \hcuhazratiof); deprecated, use \ercuhazf
\hcuhazrf estimated cumulative hazard ratio function (alias for \hcuhazratiof); deprecated, use \ecuhazrf
\hfactor generic estimated factor θ̂ (hat-wrapped \factor); deprecated, use \efactor
\hfactorf generic estimated factor function θ̂(·); deprecated, use \efactorf
\hff generic estimated factor function (shorthand for \hfactorf); deprecated, use \eff
\hoddsfactor estimated odds factor θ̂_ω (\hfactor subscripted by \odds, so the hat covers only the main symbol); deprecated, use \eoddsfactor
\hoddsfactorf estimated odds factor function θ̂_ω(·); deprecated, use \eoddsfactorf
\hfodds estimated odds factor (alias for \hoddsfactor); deprecated, use \efodds
\hfoddsf estimated odds factor function (alias for \hoddsfactorf); deprecated, use \efoddsf
\hoddsff estimated odds factor function (shorthand for \hoddsfactorf); deprecated, use \eoddsff
\hhazfactor estimated hazard factor θ̂_λ (\hfactor subscripted by \haz, so the hat covers only the main symbol); deprecated, use \ehazfactor
\hhazfactorf estimated hazard factor function θ̂_λ(·); deprecated, use \ehazfactorf
\hfhaz estimated hazard factor (alias for \hhazfactor); deprecated, use \efhaz
\hfhazf estimated hazard factor function (alias for \hhazfactorf); deprecated, use \efhazf
\hhazff estimated hazard factor function (shorthand for \hhazfactorf); deprecated, use \ehazff
\hratefactor estimated rate factor θ̂_λ (\hfactor subscripted by \rate, so the hat covers only the main symbol); deprecated, use \eratefactor
\hratefactorf estimated rate factor function θ̂_λ(·); deprecated, use \eratefactorf
\hfrate estimated rate factor (alias for \hratefactor); deprecated, use \efrate
\hfratef estimated rate factor function (alias for \hratefactorf); deprecated, use \efratef
\hrateff estimated rate factor function (shorthand for \hratefactorf); deprecated, use \erateff
\hriskfactor estimated risk factor θ̂_π (\hfactor subscripted by \risk, so the hat covers only the main symbol); deprecated, use \eriskfactor
\hriskfactorf estimated risk factor function θ̂_π(·); deprecated, use \eriskfactorf
\hfrisk estimated risk factor (alias for \hriskfactor); deprecated, use \efrisk
\hfriskf estimated risk factor function (alias for \hriskfactorf); deprecated, use \efriskf
\hriskff estimated risk factor function (shorthand for \hriskfactorf); deprecated, use \eriskff
\hprevfactor estimated prevalence factor θ̂_π (\hfactor subscripted by \prev, so the hat covers only the main symbol); deprecated, use \eprevfactor
\hprevfactorf estimated prevalence factor function θ̂_π(·); deprecated, use \eprevfactorf
\hfprev estimated prevalence factor (alias for \hprevfactor); deprecated, use \efprev
\hfprevf estimated prevalence factor function (alias for \hprevfactorf); deprecated, use \efprevf
\hprevff estimated prevalence factor function (shorthand for \hprevfactorf); deprecated, use \eprevff
\hcuhazfactor estimated cumulative hazard factor θ̂_Λ (\hfactor subscripted by \cuhaz, so the hat covers only the main symbol); deprecated, use \ecuhazfactor
\hcuhazfactorf estimated cumulative hazard factor function θ̂_Λ(·); deprecated, use \ecuhazfactorf
\hfcuhaz estimated cumulative hazard factor (alias for \hcuhazfactor); deprecated, use \efcuhaz
\hfcuhazf estimated cumulative hazard factor function (alias for \hcuhazfactorf); deprecated, use \efcuhazf
\hcuhazff estimated cumulative hazard factor function (shorthand for \hcuhazfactorf); deprecated, use \ecuhazff
\hsurvfactor estimated survival factor θ̂_S (\hfactor subscripted by \surv, so the hat covers only the main symbol); deprecated, use \esurvfactor
\hsurvfactorf estimated survival factor function θ̂_S(·); deprecated, use \esurvfactorf
\hfsurv estimated survival factor (alias for \hsurvfactor); deprecated, use \efsurv
\hfsurvf estimated survival factor function (alias for \hsurvfactorf); deprecated, use \efsurvf
\hsurvff estimated survival factor function (shorthand for \hsurvfactorf); deprecated, use \esurvff
\emp empirical estimator label ("emp" subscript)
\km Kaplan-Meier estimator label ("KM" subscript)
\naa Nelson-Aalen estimator label ("NA" subscript)
\hsemp empirical survival function estimator Ŝ_emp; deprecated, use \esemp
\hskm Kaplan-Meier survival function estimator Ŝ_KM; deprecated, use \eskm
\hsnaa Nelson-Aalen survival function estimator Ŝ_NA; deprecated, use \esnaa
\hsempf empirical survival function estimator Ŝ_emp(·) applied to argument; deprecated, use \esempf
\hskmf Kaplan-Meier survival function estimator Ŝ_KM(·) applied to argument; deprecated, use \eskmf
\hsnaaf Nelson-Aalen survival function estimator Ŝ_NA(·) applied to argument; deprecated, use \esnaaf
\eQ estimated quantile function Q̂
\equantile estimated quantile function (alias for \eQ)
\eQf estimated quantile function Q̂(·) applied to argument
\equantilef estimated quantile function applied to argument (alias for \eQf)
\ep estimated probability density (hat p)
\eb estimated beta coefficient β̂
\ecoef estimated regression coefficient for covariate (β̂_x)
\eintcoef estimated regression intercept (β̂_0)
\evb estimated beta vector (β̂-vector)
\evcoef estimated coefficient vector (alias for \evb)
\evhcoef estimated coefficient vector (transposed-letter alias for \evb)
\eR Gelman-Rubin convergence diagnostic (potential scale reduction factor, R-hat)
\ek estimated kappa κ̂
\ekappa estimated kappa (alias for \ek)
\el estimated lambda λ̂
\ey estimated value of y
\efitted fitted or predicted value (alias for \ey)
\es estimated sigma σ̂
\esig estimated sigma (alias for \es)
\eS estimated covariance matrix Σ̂
\eSig estimated Sigma (alias for \eS)
\eSigma estimated Sigma (alias for \eS)
\esurv estimated survival function
\eSurv estimated survival function (alias for \esurv)
\eSurvf estimated survival function Ŝ(·) applied to argument
\esemp empirical survival function estimator Ŝ_emp
\eskm Kaplan-Meier survival function estimator Ŝ_KM
\esnaa Nelson-Aalen survival function estimator Ŝ_NA
\esempf empirical survival function estimator Ŝ_emp(·) applied to argument
\eskmf Kaplan-Meier survival function estimator Ŝ_KM(·) applied to argument
\esnaaf Nelson-Aalen survival function estimator Ŝ_NA(·) applied to argument
\eth estimated theta θ̂
\ethml maximum likelihood estimate of theta
\eE estimated expected value (prints \est of \Expp, with the argument in square brackets)
\eExp estimated expected value (alias for \eE)
\eExpf estimated expected value (alias for \eE)
\emu estimated mean μ̂
\emuf estimated mean function μ̂(·)
\evar estimated variance operator (hat)
\evart estimated variance operator (alias for \evar)
\ecovt estimated covariance operator
\eCovt estimated covariance operator (alias)
\eVar estimated variance function V̂ar(·)
\evarf estimated variance function (alias for \eVar)
\ecovf estimated covariance function (alias)
\ecort estimated correlation operator
\eCor estimated correlation function Ĉor(·)
\eCorf estimated correlation function (alias)
\eCors estimated bivariate correlation
\eSD estimated standard deviation SD̂(·)
\eSDf estimated standard deviation (alias)
\eset estimated standard error operator ŝe
\eSE estimated standard error operator ŜE
\eSEt estimated SE operator (alias for \eSE)
\ese estimated standard error ŝe(·)
\esef estimated standard error (alias for \ese)
\eSEf estimated standard error function (alias)
\eeinf estimated Fisher information ℐ̂
\eeinff estimated Fisher information function ℐ̂(·)
\edifflogodds estimated difference in log-odds ΔΗ̂
\ecdf estimated cumulative distribution function F̂
\ecdff estimated cumulative distribution function F̂(·) applied to argument
\eprob estimated probability π̂
\eprobs estimated probability symbol π̂ (alias for \eprob)
\ePr estimated probability with brackets Pr̂[·] (via \Est)
\erisk estimated risk π̂ (alias for \eprob)
\eprev estimated prevalence π̂ (alias for \eprob)
\epoprisk estimated population risk R̂ (via \est); the empirical risk
\epopriskf estimated population risk function R̂(·) (via \est)
\emprisk empirical risk R̂ (alias for \epoprisk)
\empriskf empirical risk function R̂(·) (alias for \epopriskf)
\eodds estimated odds ω̂
\eATT estimated average treatment effect on the treated ATT̂ (via \Est)
\eATTf estimated average treatment effect on the treated function ATT̂(·) (via \Est)
\erate estimated rate λ̂
\ehaz estimated hazard λ̂ (alias for \erate)
\ecuhaz estimated cumulative hazard Λ̂
\ecumhaz estimated cumulative hazard (alias for \ecuhaz)
\eratio generic estimated ratio ϙ̂ (hat-wrapped \ratio)
\eratiof generic estimated ratio function ϙ̂(·)
\eror estimated odds ratio ϙ̂_ω (\eratio subscripted by \odds, so the hat covers only the main symbol)
\eorf estimated odds ratio function ϙ̂_ω(·)
\ehazratio estimated hazard ratio ϙ̂_λ (\eratio subscripted by \haz, so the hat covers only the main symbol)
\ehr estimated hazard ratio (alias for \ehazratio)
\erhaz estimated hazard ratio (alias for \ehazratio)
\ehazr estimated hazard ratio (alias for \ehazratio)
\ehrf estimated hazard ratio function ϙ̂_λ(·)
\erhazf estimated hazard ratio function (alias for \ehrf)
\ehazrf estimated hazard ratio function (alias for \ehrf)
\erateratio estimated rate ratio ϙ̂_λ (\eratio subscripted by \rate, so the hat covers only the main symbol)
\erater estimated rate ratio (alias for \erateratio)
\errate estimated rate ratio (alias for \erateratio)
\erateratiof estimated rate ratio function ϙ̂_λ(·)
\eraterf estimated rate ratio function (alias for \erateratiof)
\erratef estimated rate ratio function (alias for \erateratiof)
\eriskratio estimated risk ratio ϙ̂_π (\eratio subscripted by \risk, so the hat covers only the main symbol)
\errisk estimated risk ratio (alias for \eriskratio)
\eriskr estimated risk ratio (alias for \eriskratio)
\eriskratiof estimated risk ratio function ϙ̂_π(·)
\erriskf estimated risk ratio function (alias for \eriskratiof)
\eriskrf estimated risk ratio function (alias for \eriskratiof)
\eRD estimated risk difference RD̂ (via \Est)
\eRR estimated risk ratio RR̂ (via \Est)
\eprevratio estimated prevalence ratio ϙ̂_π (\eratio subscripted by \prev, so the hat covers only the main symbol)
\eprr estimated prevalence ratio (alias for \eprevratio)
\eprevratiof estimated prevalence ratio function ϙ̂_π(·)
\eprrf estimated prevalence ratio function (alias for \eprevratiof)
\esurvratio estimated survival ratio ϙ̂_S (\eratio subscripted by \surv, so the hat covers only the main symbol)
\ersurv estimated survival ratio (alias for \esurvratio)
\esurvr estimated survival ratio (alias for \esurvratio)
\esurvratiof estimated survival ratio function ϙ̂_S(·)
\ersurvf estimated survival ratio function (alias for \esurvratiof)
\esurvrf estimated survival ratio function (alias for \esurvratiof)
\ecuhazratio estimated cumulative hazard ratio ϙ̂_Λ (\eratio subscripted by \cuhaz, so the hat covers only the main symbol)
\ercuhaz estimated cumulative hazard ratio (alias for \ecuhazratio)
\ecuhazr estimated cumulative hazard ratio (alias for \ecuhazratio)
\ecuhazratiof estimated cumulative hazard ratio function ϙ̂_Λ(·)
\ercuhazf estimated cumulative hazard ratio function (alias for \ecuhazratiof)
\ecuhazrf estimated cumulative hazard ratio function (alias for \ecuhazratiof)
\efactor generic estimated factor θ̂ (hat-wrapped \factor)
\efactorf generic estimated factor function θ̂(·)
\eff generic estimated factor function (shorthand for \efactorf)
\eoddsfactor estimated odds factor θ̂_ω (\efactor subscripted by \odds, so the hat covers only the main symbol)
\eoddsfactorf estimated odds factor function θ̂_ω(·)
\efodds estimated odds factor (alias for \eoddsfactor)
\efoddsf estimated odds factor function (alias for \eoddsfactorf)
\eoddsff estimated odds factor function (shorthand for \eoddsfactorf)
\ehazfactor estimated hazard factor θ̂_λ (\efactor subscripted by \haz, so the hat covers only the main symbol)
\ehazfactorf estimated hazard factor function θ̂_λ(·)
\efhaz estimated hazard factor (alias for \ehazfactor)
\efhazf estimated hazard factor function (alias for \ehazfactorf)
\ehazff estimated hazard factor function (shorthand for \ehazfactorf)
\eratefactor estimated rate factor θ̂_λ (\efactor subscripted by \rate, so the hat covers only the main symbol)
\eratefactorf estimated rate factor function θ̂_λ(·)
\efrate estimated rate factor (alias for \eratefactor)
\efratef estimated rate factor function (alias for \eratefactorf)
\erateff estimated rate factor function (shorthand for \eratefactorf)
\eriskfactor estimated risk factor θ̂_π (\efactor subscripted by \risk, so the hat covers only the main symbol)
\eriskfactorf estimated risk factor function θ̂_π(·)
\efrisk estimated risk factor (alias for \eriskfactor)
\efriskf estimated risk factor function (alias for \eriskfactorf)
\eriskff estimated risk factor function (shorthand for \eriskfactorf)
\eprevfactor estimated prevalence factor θ̂_π (\efactor subscripted by \prev, so the hat covers only the main symbol)
\eprevfactorf estimated prevalence factor function θ̂_π(·)
\efprev estimated prevalence factor (alias for \eprevfactor)
\efprevf estimated prevalence factor function (alias for \eprevfactorf)
\eprevff estimated prevalence factor function (shorthand for \eprevfactorf)
\ecuhazfactor estimated cumulative hazard factor θ̂_Λ (\efactor subscripted by \cuhaz, so the hat covers only the main symbol)
\ecuhazfactorf estimated cumulative hazard factor function θ̂_Λ(·)
\efcuhaz estimated cumulative hazard factor (alias for \ecuhazfactor)
\efcuhazf estimated cumulative hazard factor function (alias for \ecuhazfactorf)
\ecuhazff estimated cumulative hazard factor function (shorthand for \ecuhazfactorf)
\esurvfactor estimated survival factor θ̂_S (\efactor subscripted by \surv, so the hat covers only the main symbol)
\esurvfactorf estimated survival factor function θ̂_S(·)
\efsurv estimated survival factor (alias for \esurvfactor)
\efsurvf estimated survival factor function (alias for \esurvfactorf)
\esurvff estimated survival factor function (shorthand for \esurvfactorf)
\bbN blackboard bold N (natural numbers)
\bbZ blackboard bold Z (integers)
\bbQ blackboard bold Q (rational numbers)
\bbR blackboard bold R (real numbers)
\bbC blackboard bold C (complex numbers)
\mathscr script font operator (fallback to \mathcal)
\scrA script A symbol 𝒜
\scrB script B symbol ℬ
\scrC script C symbol 𝒞
\scrF script F symbol ℱ
\scrS script S symbol 𝒮
\scrT script T symbol 𝒯
\salg sigma-algebra on S symbol 𝒮
\salgS sigma-algebra on S symbol 𝒮 (alias for \salg)
\salgT sigma-algebra on T symbol 𝒯
\sigmaalg sigma-algebra symbol (alias for \salg)
\sigmaalgebra sigma-algebra symbol (alias for \salg)
\borel Borel sigma-algebra symbol ℬ
\Borel Borel sigma-algebra symbol (alias for \borel)
\borelalg Borel sigma-algebra symbol (alias for \borel)
\events event space / events sigma-algebra symbol ℱ
\eventspace event space symbol (alias for \events)
\coll collection of sets symbol 𝒞
\collection collection of sets symbol (alias for \coll)
\gensalg sigma-algebra generated by argument σ(·)
\gensigmaalg generated sigma-algebra (alias for \gensalg)
\inas convergence almost surely arrow
\indist convergence in distribution arrow
\inprob convergence in probability arrow
\plim probability limit operator (plim)
\plimf probability limit applied to argument
\tr matrix trace operator (tr)
\trf matrix trace applied to argument
\diag diagonal matrix operator (diag)
\diagf diagonal of matrix applied to argument
\rank matrix rank operator (rank)
\rankf matrix rank applied to argument
\vct matrix vectorization operator (vec)
\vctf matrix vectorization applied to argument
\vcs matrix strict half-vectorization operator (vecs)
\vcsf matrix strict half-vectorization applied to argument
\vch matrix half-vectorization operator (vech)
\vchf matrix half-vectorization applied to argument
\matvec matrix vectorization operator (alias for \vct)
\matvecf matrix vectorization applied to argument (alias for \vctf)
\dBeta Beta distribution operator
\dBetaf Beta distribution applied to parameters
\dBern Bernoulli distribution operator (statmath prefix)
\dBernf Bernoulli distribution applied to parameters
\dBin Binomial distribution operator
\dBinf Binomial distribution applied to parameters
\dF F-distribution operator
\dFf F-distribution applied to parameters
\dGam Gamma distribution operator
\dGamf Gamma distribution applied to parameters
\dInvGam Inverse-Gamma distribution operator
\dInvGamf Inverse-Gamma distribution applied to parameters
\dInvW Inverse-Wishart distribution operator
\dInvWf Inverse-Wishart distribution applied to parameters
\dLaplace Laplace distribution operator
\dLaplacef Laplace distribution applied to parameters
\dMN Multinomial/Matrix-Normal distribution operator
\dMNf Multinomial/Matrix-Normal distribution applied to parameters
\dN Normal distribution operator (statmath prefix)
\dNf Normal distribution applied to parameters
\dPo Poisson distribution operator (statmath prefix)
\dPof Poisson distribution applied to parameters
\dt Student-t distribution operator
\dtf Student-t distribution applied to parameters
\dW Wishart distribution operator
\dWf Wishart distribution applied to parameters
\dWeib Weibull distribution operator
\dWeibf Weibull distribution applied to parameters
\Ebar expectation operator with bar
\Ebarf expectation with bar applied to subscript