pgfDlogarithmic {Compounding} | R Documentation |
This function calculates value of the pgf's first derivative of the logarithmic distribution.
pgfDlogarithmic(s, params)
s |
Value of the parameter of the pgf. It should be from interval [-1,1\]. In the opposite pgf diverges. |
params |
Represents paramemeter of logarithmic 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<-.7 pgfDlogarithmic(.5,params) ## The function is currently defined as pgfDlogarithmic <- 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 theta belongs to the interval (0,1)") -(1-theta)/((1-(1-theta)*s)*log(theta)) }