com.log.density: Computes the Log PMF of the COM-Poisson Distribution

In jarad/compoisson: Conway-Maxwell-Poisson Distribution

Description

Computes the log probability mass function of the COM-Poisson distribution for given values of the parameters.

Usage

com.log.density(x, lambda, nu, log.z = NULL)

Arguments

x	level to evaulate the log PMF at
lambda	value of the lambda parameter
nu	value of the nu parameter
log.z	log of the normalizing constant, computed if not specified

Details

Computes the log probability mass function of the COM-Poisson distribution

log f(x) = x * log(lambda) - log(Z) - nu * log(x!).

Value

The log probability that a random COM-Poisson variable X takes value x.

Author(s)

Jeffrey Dunn

References

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.

See Also

com.loglikelihood, dcom

Examples

	data(insurance);
	fit = com.fit(Lemaire);
	com.log.density(0, fit$lambda, fit$nu, fit$z);

jarad/compoisson documentation built on May 18, 2019, 3:45 p.m.