pgfDgeometric {Compounding} R Documentation

## Function pgfDgeometric

### Description

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

### Usage

```pgfDgeometric(s, params)
```

### Arguments

 `s` Value of the parameter of the pgf. It should be from interval [-1,1]. In the opposite pgf diverges. `params` Parameter of the geometric distribution, such that params<-theta, where theta is the 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

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

### Examples

```params<-.1
pgfDgeometric(.5,params)

## The function is currently defined as

pgfDgeometric <- function(s,params) {
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)>1)
stop("The length of params is 1")
theta<-params
if ((theta>=1)|(theta<=0))
stop ("Parameter of geometric distribution must belong  to the interval (0,1)")
theta*(1-theta)/(1-(1-theta)*s)^2
}
```

[Package Compounding version 1.0.2 Index]