bivpois (version 1.1)

Random values generation from the bivariate Poisson distribution: Random values generation from the bivariate Poisson distribution

Description

Random values generation from the bivariate Poisson distribution.

Usage

rbp(n, lambda)

Value

A matrix with n rows and 2 columns.

Arguments

n

The sample size.

lambda

A vector with the three parameters, $({\lambda }_1,{\lambda }_2,{\lambda }_3)$ of the Poisson distribution.

Author

Michail Tsagris.

R implementation and documentation: Michail Tsagris .

Details

In order to generate values from this distribution one needs three independent Poisson variables, $X_1\sim \text{Po}\left({\lambda }_1\right)$, $X_2\sim \text{Po}\left({\lambda }_2\right)$ and $X_3\sim \text{Po}\left({\lambda }_3\right)$. Then, $(X,Y)=(X_1+X3,X_2+X_3)\sim \text{BP}({\lambda }_1,{\lambda }_2,{\lambda }_3)$.

References

Kocherlakota S. and Kocherlakota K. (1992). Bivariate discrete distributions. CRC PRess.

See Also

bp.mle

Examples

x <- rbp( 300, c(3, 5, 2) )
bp.mle(x)