BiasedUrn (version 1.07)

BiasedUrn-package: 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.

Author

Agner Fog

Maintainer: Agner Fog <[e-mail]>

Details

Package:	BiasedUrn
Type:	Package
Version:	1.06
Date:	2013-11-06
License:	GPL

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

References

http://www.agner.org/random/

See Also

vignette("UrnTheory")
BiasedUrn-Univariate.
BiasedUrn-Multivariate.
dhyper
fisher.test

Examples

dWNCHypergeo(12, 25, 32, 20, 2.5)