dcom {compoisson} | R Documentation |
Probability mass function and random generation for the COM-Poisson distribution for given values of the parameters.
dcom(x, lambda, nu, z = NULL) rcom(n, lambda, nu, log.z = NULL)
x |
level to evaluate the PMF at |
lambda |
value of lambda parameter |
nu |
value of nu parameter |
z |
normalizing constant, computed if not specified |
n |
number of random values to return |
log.z |
natural log of z |
Computes the probability mass function of the COM-Poisson distribution
f(x) = (1/Z) (lambda^x)/(x!^nu).
dcom
gives the probability that a random COM-Poisson variable X takes value x.
rcom
gives a vector of n
random values sampled from the COM-Poisson
distribution.
Jeffrey Dunn
Shmueli, G., Minka, T. P., Kadane, J. B., Borle, S. and Boatwright, P., “A useful distribution for fitting discrete data: Revival of the Conway-Maxwell-Poisson distribution,” J. Royal Statist. Soc., v54, pp. 127-142, 2005.
com.loglikelihood
, com.log.density
data(insurance); fit = com.fit(Lemaire); dcom(0, fit$lambda, fit$nu, fit$z); r = rcom(10, fit$lambda, fit$nu);