pgfIhypergeometric {Compounding} R Documentation

Function pgfIhypergeometric

Description

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

Usage

```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

```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
}
```

[Package Compounding version 1.0.2 Index]