Compounding (version 1.0.2)

pgfIthomas: Function pgfIthomas

Description

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

Usage

pgfIthomas(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 Thomas distribution, such that params<-c(lambda,theta), where both parameters are positive.

References

Johnson N, Kotz S, Kemp A (1992) Univariate Discrete Distributions, John Wiley and Sons, New York

http://www.am.qub.ac.uk/users/g.gribakin/sor/Chap3.pdf

Examples

params<-c(5,.4)
pgfIthomas(.9,params)


## The function is currently defined as

pgfIthomas <- function(s,params) {
    xval<-length(s)
    for (i in 1:length(s)) {
        func<-function(x) pgfthomas(x,params)-s[i]
        xval[i]<-uniroot(func,lower=0,upper=1)$root
    }
    print(xval)
    xval
}