Bivariate_NBsim function

Simulates from the bivariate negative binomial distribution

Bivariate_NBsim(N, kappa, p1, p2)

Arguments

• N: number of data points to be simulated
• kappa: parameter $\kappa$ of the bivariate negative binomial distribution
• p1: parameter $p_1$ of the bivariate negative binomial distribution
• p2: parameter $p_2$ of the bivariate negative binomial distribution

Returns

An $N\times 2$ matrix with $N$ simulated values from the bivariate negative binomial distribution

Details

A random vector ${\bf X}=(X_1,X_2)'$ is said to follow the bivariate negative binomial distribution with parameters c("$\\kappa, p_1,\n$", "$p_2$") if its probability mass function is given by

where, for $i=1,2$, $x_i\in\{0,1,\dots\}$, $0<p_i<1$ such that $p_1+p_2<1$ and $\kappa>0$.