1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
|
\name{poisson.gamma.mix}
\alias{poisson.gamma.mix}
\title{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)
}
\arguments{
\item{probs}{vector of probabilities of the gamma components of the prior}
\item{gammapar}{matrix where each row contains the shape and rate parameters for a gamma component of the prior}
\item{data}{list with components y, vector of counts, and t, vector of time intervals}
}
\value{
\item{probs}{vector of probabilities of the gamma components of the posterior}
\item{gammapar}{matrix where each row contains the shape and rate parameters for a gamma component of the posterior}
}
\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)}
\keyword{models}
|
