Compounding (version 1.0.2)

pgfIyule: Function pgfIyule

Description

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

Usage

pgfIyule(s, params)

Arguments

s

Value of the parameter of the pgf. It should be from interval [-1,1]. In the opposite pgf diverges.

params

Postive parameter of the Yule distribution, such that params<-theta.

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<-.3
pgfIyule(.9,params)


## The function is currently defined as

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