pgfIhypergeometric: Function pgfIhypergeometric
In Compounding: Computing Continuous Distributions

Description Usage Arguments Author(s) References Examples

This function calculates value of the pgf's inverse of the hypergeometric distribution.

1	pgfIhypergeometric(s, params)

`s`	Value of the parameter of the pgf. It should be from interval [-1,1]. In the opposite pgf diverges.
`params`	List of the parameters of the hypergeometric distribution, such that params<-c(m,n,p), where m is the number of white balls in the urn, n is the number of black balls in the urn, must be less or equal than m, and p is probability.

S. Nadarajah, B. V. Popovic, M. M. Ristic

Johnson N, Kotz S, Kemp A (1992) Univariate Discrete Distributions, John Wiley and Sons, New York

Hankin R.K.S, Lee A (2006) A new family of non-negative distributions. Australia and New Zealand Journal of Statistics 48(1): 67(78)

http://www.am.qub.ac.uk/users/g.gribakin/sor/Chap3.pdf

params<-c(5,3,.2)
pgfIhypergeometric(.5,params)

## The function is currently defined as

pgfIhypergeometric <- function(s,params) {
    xval<-length(s)
    for (i in 1:length(s)) {
        func<-function(x) pgfhypergeometric(x,params)-s[i]
        xval[i]<-uniroot(func,lower=0,upper=1)$root
    }
    xval
}