# pgfIhypergeometric: Function pgfIhypergeometric In Compounding: Computing Continuous Distributions

## Description

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

## Usage

 `1` ```pgfIhypergeometric(s, params) ```

## Arguments

 `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.

## Author(s)

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

## References

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

## Examples

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13``` ```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 } ```

Compounding documentation built on May 30, 2017, 4:02 a.m.