Biased Matching for Two-Urn Sampling Problems R package BiasedMatch version 0.1.0 Tools for the two-urn biased sampling problems of Puza and Bonfrer (2018) <doi:10.1080/03610926.2017.1300282>. Two overlapping sets of items are sampled without replacement, with items common to both sets given a selection weight favouring their inclusion. The package computes the probability mass function, mean and variance of the number of matching items using the univariate and bivariate Wallenius' non-central hypergeometric distributions, performs maximum likelihood and Bayesian inference for the bias parameter, and provides Metropolis-Hastings algorithms for hierarchical extensions. Software Depends: R (>= 3.5.0) Imports: BiasedUrn, mvtnorm, nortest, EnvStats, coda, stats, utils Suggests: knitr, rmarkdown, testthat (>= 3.0.0) Andre Bonfrer <andre.bonfrer@deakin.edu.au> Comprehensive R Archive Network (CRAN) Andre Bonfrer [aut, cre] (ORCID: <https://orcid.org/0000-0002-3061-7103>), Borek Puza [aut] MIT + file LICENSE (https://CRAN.R-project.org/package=BiasedMatch/LICENSE) 2026-10-21 application/tgz https://CRAN.R-project.org/package=BiasedMatch doi:10.32614/CRAN.package.BiasedMatch