Algebra over Probability Distributions R package algebraic.dist version 1.0.0 CRAN Task View: Distributions (https://CRAN.R-project.org/view=Distributions) Provides an algebra over probability distributions enabling composition, sampling, and automatic simplification to closed forms. Supports normal, exponential, gamma, Weibull, chi-squared, uniform, beta, log-normal, Poisson, multivariate normal, empirical, and mixture distributions with algebraic operators (addition, subtraction, multiplication, division, power, exp, log, min, max) that automatically simplify when mathematical identities apply. Includes closed-form MVN conditioning (Schur complement), affine transformations, mixture marginals/conditionals (Bayes rule), and limiting distribution builders (CLT, LLN, delta method). Uses S3 classes for distributions and R6 for support objects. Software Depends: R (>= 3.5.0) Imports: stats, mvtnorm, R6 Suggests: knitr, rmarkdown, testthat (>= 3.0.0) Alexander Towell <lex@metafunctor.com> Comprehensive R Archive Network (CRAN) Alexander Towell [aut, cre] (ORCID: <https://orcid.org/0000-0001-6443-9897>) GPL (>= 3) 2026-03-18 application/tgz https://CRAN.R-project.org/package=algebraic.dist doi:10.32614/CRAN.package.algebraic.dist