dbivCMP {multicmp}

The Bivariate Conway-Maxwell-Poisson Distribution

Description

Density for the Bivariate Conway-Maxwell-Poisson (CMP) distribution

Usage

dbivCMP(lambda, nu, bivprob, x, y, maxit)

Arguments

lambda

Mean/rate parameter under Poisson model.

nu

Dispersion parameter.

bivprob

Bivariate probabilities, p00, p01, p10, p11.

x

x values

y

y values

maxit

Number of terms used to truncate infinite sum calculations.

References

Sellers KF, Morris DS, Balakrishnan N (2016) Bivariate Conway-Maxwell-Poisson Distribution: Formulation, Properties, and Inference, Journal of Multivariate Analysis 150:152-168.

Examples

dbivCMP(lambda=10, nu=1, bivprob=c(0.4, 0.2, 0.3, 0.1), x=2, y=3, maxit = 100) 
#this is equivalent to the pmf P(X=2,Y=3) of a bivariate Poisson 
##with lambda1=3, lambda2=2, lambda3=1