PGB2Dist {brr}

R Documentation

Poisson-Gamma-Beta2 distribution

Description

Density and random generation for the Poisson-Gamma-Beta2 distribution with shape parameters a, c, d and hyperrate parameter tau (scale of the Beta2 distribution). For tau=1 this is the same as the Beta-negative binomial distribution.

Usage

dPGB2(x, a, c, d, tau)

pPGB2(q, a, c, d, tau)

qPGB2(p, a, c, d, tau)

rPGB2(n, a, c, d, tau)

summary_PGB2(a, c, d, tau, output = "list")

Arguments

x, q	vector of non-negative integer quantiles
a, c, d	non-negative shape parameters
tau	non-negative hyperrate parameter
p	vector of probabilities
n	number of observations to be sampled
output	type of the summary_PGB2 output: "list" to return a list, "pandoc" to print a table

Details

This is the mixture distribution obtained by sampling a value y from the Beta2 distribution with shape parameters c, d, and scale \tau, then sampling a value \lambda from the Gamma distribution with shape a and rate y, and then sampling the Poisson distribution with mean \lambda.

Value

dPGB2 gives the density, pPGB2 the cumulative function, rPGB2 samples from the distribution, and summary_PGB2 gives a summary of the distribution.

Note

PGB2Dist is a generic name for the functions documented.

Examples

a <- 2 ; c <- 5 ; d <- 30; tau <- 2
barplot(dPGB2(0:40, a, c, d, tau), names=0:40)
summary_PGB2(a,c,d,tau, output="pandoc")

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