pgfDbinomial {Compounding} R Documentation

## Function pgfDbinomial

### Description

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

### Usage

```pgfDbinomial(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 binomial distribution, such that params<-c(n,theta), where n is size and theta is probability.

[1] 0.59895

### 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(4,.9)
pgfDbinomial(.5,params)

## The function is currently defined as

pgfDbinomial <- 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)<2)
stop("At least one value in params is missing")
if (length(params)>2)
stop("The length of params is 2")
n<-params[1]
theta<-params[2]
if ((theta>=1)|(theta<=0))
stop ("Parameter theta belongs to the interval (0,1)")
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")
n*theta*(1-theta+theta*s)^(n-1)
}
```

[Package Compounding version 1.0.2 Index]