Description Usage Arguments Author(s) References Examples

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

1 | ```
pgfDyule(s, params)
``` |

`s` |
Value of the parameter of the pgf. It should be from interval [-1,1]. In the opposite pgf divegrates. |

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

S. Nadarajah, B. V. Popovic, M. M. Ristic

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

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 | ```
params<-.3
pgfDyule(.5,params)
## The function is currently defined as
pgfDyule <- function(s,params) {
require(hypergeo)
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[1]
if (theta<=0)
stop ("Parameter theta must be positive")
theta/((theta+1)*(theta+2))*Re(hypergeo(2,2,theta+3,s))
}
``` |

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