pgfDgeometric {Compounding} | R Documentation |
This function calculates value of the pgf's first derivative of the geometric distribution.
pgfDgeometric(s, params)
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. |
S. Nadarajah, B. V. Popovic, M. M. Ristic
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
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[1] 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 }