# pgfhypergeometric: Function pgfhypergeometric In Compounding: Computing Continuous Distributions

## Description

This function calculates value of the pgf of the hypergeometric distribution.

## Usage

 `1` ```pgfhypergeometric(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 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32``` ```params<-c(5,3,.5) pgfhypergeometric(.5,params) ## The function is currently defined as pgfhypergeometric <- function(s,params) { require(hypergeo) k<-s[abs(s)>1] if (length(k)>0) warning("At least one element of the vector s are out of interval [-1,1]") if (length(params)<3) stop("At least one value in params is missing") if (length(params)>3) stop("The length of params is 3") m<-params n<-params p<-params if (n<0) stop("Parameter n must be positive") if(!(abs(n-round(n))<.Machine\$double.eps^0.5)) stop("Parameter n must be positive integer") if (m<0) stop("Parameter m must be positive") if(!(abs(m-round(m))<.Machine\$double.eps^0.5)) stop("Parameter m must be positive integer") if ((p>=1)|(p<=0)) stop ("Parameter p belongs to the interval (0,1)") if (m

Compounding documentation built on May 2, 2019, 1:04 p.m.