| BiasedUrn-package {BiasedUrn} | R Documentation |
Biased Urn Model Distributions
Description
Statistical models of biased sampling in the form of univariate and multivariate noncentral hypergeometric distributions, including Wallenius' noncentral hypergeometric distribution and Fisher's noncentral hypergeometric distribution (also called extended hypergeometric distribution).
These are distributions that you can get when taking colored balls from an urn without replacement, with bias. The univariate distributions are used when there are two colors of balls. The multivariate distributions are used when there are more than two colors of balls.
The (central) univariate and multivariate hypergeometric distribution
can be obtained by setting odds = 1.
Please see vignette("UrnTheory")
for a definition of these distributions and how
to decide which distribution to use in a specific case.
Details
| Package: | BiasedUrn |
| Type: | Package |
| Version: | 2.0.12 |
| Date: | 2024-06-16 |
| License: | GPL-3 |
Univariate functions in this package
| Wallenius' noncentral hypergeometric | Fisher's noncentral hypergeometric | |
| Probability mass function | dWNCHypergeo | dFNCHypergeo |
| Cumulative distribution function | pWNCHypergeo | pFNCHypergeo |
| Quantile function | qWNCHypergeo | qFNCHypergeo |
| Random variate generation function | rWNCHypergeo | rFNCHypergeo |
| Calculate mean | meanWNCHypergeo | meanFNCHypergeo |
| Calculate variance | varWNCHypergeo | varFNCHypergeo |
| Calculate mode | modeWNCHypergeo | modeFNCHypergeo |
| Estimate odds from mean | oddsWNCHypergeo | oddsFNCHypergeo |
| Estimate number from mean and odds | numWNCHypergeo | numFNCHypergeo |
| Minimum x | minHypergeo | minHypergeo |
| Maximum x | maxHypergeo | maxHypergeo |
Multivariate functions in this package
| Wallenius' noncentral hypergeometric | Fisher's noncentral hypergeometric | |
| Probability mass function | dMWNCHypergeo | dMFNCHypergeo |
| Random variate generation function | rMWNCHypergeo | rMFNCHypergeo |
| Calculate mean | meanMWNCHypergeo | meanMFNCHypergeo |
| Calculate variance | varMWNCHypergeo | varMFNCHypergeo |
| Calculate mean and variance | momentsMWNCHypergeo | momentsMFNCHypergeo |
| Estimate odds from mean | oddsMWNCHypergeo | oddsMFNCHypergeo |
| Estimage number from mean and odds | numMWNCHypergeo | numMFNCHypergeo |
| Minimum x | minMHypergeo | minMHypergeo |
| Maximum x | maxMHypergeo | maxMHypergeo |
Note
The implementation cannot run safely in multiple threads simultaneously
Author(s)
Agner Fog
Maintainer: Agner Fog <agner@agner.org>
References
Fog, A. 2008a. Calculation methods for Wallenius' noncentral hypergeometric distribution. Communications in Statistics—Simulation and Computation 37, 2 doi:10.1080/03610910701790269
Fog, A. 2008b. Sampling methods for Wallenius' and Fisher's noncentral hypergeometric distributions. Communications in Statistics—Simulation and Computation 37, 2 doi:10.1080/03610910701790236
See Also
BiasedUrn-Univariate.
BiasedUrn-Multivariate.
vignette("UrnTheory")
demo(CompareHypergeo)
demo(ApproxHypergeo)
demo(OddsPrecision)
demo(SampleWallenius)
dhyper
fisher.test
Examples
dWNCHypergeo(12, 25, 32, 20, 2.5)