pgfhypergeometric {Compounding} R Documentation

## Function pgfhypergeometric

### Description

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

### Usage

```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

```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<n)
stop ("Parameter m is greater or equal then n ")
Re(hypergeo(-n,-m*p,-m,1-s))
}

```

[Package Compounding version 1.0.2 Index]