Compounding (version 1.0.2)

pgfDhypergeometric: Function pgfDhypergeometric

Description

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

Usage

pgfDhypergeometric(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 the probability.

Value

[1] 0.6

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)
pgfDhypergeometric(.5,params)

## The function is currently defined as

pgfDhypergeometric <- 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[1]
    n<-params[2]
    p<-params[3]

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 ")
   n*p*Re(hypergeo(1-n,1-m*p,1-m,1-s))
}