Merge pull request #71 from d-morrison/claude/macros-backlog-clearance-xmjb6d

feat: add likelihood-function, estimated-CDF, and potential/observed-outcome macros

Author: d-morrison

interpretations.tsv

@@ -146,6 +146,10 @@ name	interpretation
 \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)
 \deviation	deviation symbol e
 \devn	deviation symbol (alias for \deviation)
 \deviationv	deviation vector ẽ
@@ -416,6 +420,16 @@ name	interpretation
 \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′{·}
@@ -471,6 +485,9 @@ name	interpretation
 \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
+\hcdff	estimated cumulative distribution function F̂(·) applied to argument
 \defLik	definitional expression for likelihood ℒ(θ)
 \defLogLik	definitional expression for log-likelihood ℓ
 \defScore	definitional expression for score function ℓ′

macros.qmd

@@ -145,6 +145,10 @@
 \def\loglik{\ell}
 \def\logl{\ell}
 \providecommand{\llikf}[1]{\llik \paren{#1}}
+\providecommand{\Likf}[1]{\Lik\paren{#1}}
+\def\loglikf{\llikf}
+\def\loglf{\llikf}
+\def\likf{\llikf}
 \def\deviation{e}
 \def\devn{\deviation}
 \providecommand{\deviationv}{\vec{\deviation}}
@@ -414,6 +418,16 @@
 \def\probs{\pi}
 \def\risk{\pi}
 \def\prev{\pi}
+\providecommand{\potout}[1]{Y_{#1}}
+\providecommand{\potprob}[1]{\prob_{#1}}
+\providecommand{\potmean}[1]{\mean_{#1}}
+\providecommand{\obsprob}[1]{\prob\paren{#1}}
+\providecommand{\obsmean}[1]{\mean\paren{#1}}
+\def\py{\potout}
+\def\ppi{\potprob}
+\def\pmu{\potmean}
+\def\opi{\obsprob}
+\def\omu{\obsmean}
 \def\probit{\operatorname{probit}}
 \providecommand{\oddsf}[1]{\oddst\cb{#1}}
 \providecommand{\doddsf}[1]{{\oddst}'\cb{#1}}
@@ -507,6 +521,9 @@
 \def\pdf{\distop{f}}
 \providecommand{\pmf}[1]{\distop{P}\paren{#1}}
 \def\cdf{\distop{F}}
+\providecommand{\cdff}[1]{\cdf\paren{#1}}
+\def\hcdf{\mathop{\hat{\cdf}}\nolimits}
+\providecommand{\hcdff}[1]{\hcdf\paren{#1}}
 \def\defLik{\Lik(\theta) \eqdef \p(\vX = \vx | \Theta = \theta)}
 \def\defLogLik{\lik \eqdef \logf{\Lik(\vx|\th)}}
 \def\defScore{\score \eqdef \deriv{\th} \lik(\vx|\th)}