LearnBayes (version 2.15.2)

poisson.gamma.mix: Computes the posterior for Poisson sampling and a mixture of gammas prior

Description

Computes the parameters and mixing probabilities for a Poisson sampling problem where the prior is a discrete mixture of gamma densities.

Usage

poisson.gamma.mix(probs,gammapar,data)

Value

probs

vector of probabilities of the gamma components of the posterior

gammapar

matrix where each row contains the shape and rate parameters for a gamma component of the posterior

Arguments

probs

vector of probabilities of the gamma components of the prior

gammapar

matrix where each row contains the shape and rate parameters for a gamma component of the prior

data

list with components y, vector of counts, and t, vector of time intervals

Author

Jim Albert

Examples

probs=c(.5, .5)
gamma.par1=c(1,1)
gamma.par2=c(10,2)
gammapar=rbind(gamma.par1,gamma.par2)
y=c(1,3,2,4,10); t=c(1,1,1,1,1)
data=list(y=y,t=t)
poisson.gamma.mix(probs,gammapar,data)