algebraic.dist: Algebra over Probability 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.
| Version: | 0.9.1 |
| Depends: | R (≥ 3.5.0) |
| Imports: | stats, mvtnorm, R6 |
| Suggests: | knitr, rmarkdown, testthat (≥ 3.0.0) |
| Published: | 2026-02-27 |
| DOI: | 10.32614/CRAN.package.algebraic.dist |
| Author: | Alexander Towell 
[aut, cre] |
| Maintainer: | Alexander Towell <lex at metafunctor.com> |
| BugReports: | https://github.com/queelius/algebraic.dist/issues |
| License: | GPL (≥ 3) |
| URL: | https://github.com/queelius/algebraic.dist, https://queelius.github.io/algebraic.dist/ |
| NeedsCompilation: | no |
| Materials: | README, NEWS |
| In views: | Distributions |
| CRAN checks: | algebraic.dist results |
Documentation:
| Reference manual: | algebraic.dist.html , algebraic.dist.pdf |
| Vignettes: |
Distribution Algebra with algebraic.dist (source, R code) algebraic.dist: Examples (source, R code) Multivariate and Mixture Distributions (source, R code) |
Downloads:
| Package source: | algebraic.dist_0.9.1.tar.gz |
| Windows binaries: | r-devel: algebraic.dist_0.1.0.zip, r-release: algebraic.dist_0.1.0.zip, r-oldrel: algebraic.dist_0.1.0.zip |
| macOS binaries: | r-release (arm64): algebraic.dist_0.9.1.tgz, r-oldrel (arm64): algebraic.dist_0.9.1.tgz, r-release (x86_64): algebraic.dist_0.1.0.tgz, r-oldrel (x86_64): algebraic.dist_0.1.0.tgz |
| Old sources: | algebraic.dist archive |
Reverse dependencies:
| Reverse imports: | algebraic.mle |
| Reverse suggests: | likelihood.model |
Linking:
Please use the canonical form https://CRAN.R-project.org/package=algebraic.dist to link to this page.