pgfIthomas {Compounding} R Documentation

## 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.

### 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

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
}

```

[Package Compounding version 1.0.2 Index]