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R: Biased Urn Model Distributions

BiasedUrn-package

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:	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

Note

The implementation cannot run safely in multiple threads simultaneously

Author(s)

Agner Fog

Maintainer: Agner Fog <agner@agner.org>

References

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

Examples

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

Results


R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> library(BiasedUrn)
> png(filename="/home/ddbj/snapshot/RGM3/R_CC/result/BiasedUrn/BiasedUrn-1-Package.Rd_%03d_medium.png", width=480, height=480)
> ### Name: BiasedUrn-package
> ### Title: Biased Urn Model Distributions
> ### Aliases: BiasedUrn
> ### Keywords: package distribution univar multivariate
> 
> ### ** Examples
> 
> dWNCHypergeo(12, 25, 32, 20, 2.5)
[1] 0.2183387
> 
> 
> 
> 
> 
> dev.off()
null device 
          1 
>