Poisson Distribution - Bivariate Poisson Distribution

Bivariate Poisson Distribution

This distribution has been extended to the bivariate case. The generating function for this distribution is

with

The marginal distributions are Poisson( θ1 ) and Poisson( θ2 ) and the correlation coefficient is limited to the range

The Skellam distribution is a particular case of this distribution.

Read more about this topic:  Poisson Distribution

Famous quotes containing the word distribution:

    My topic for Army reunions ... this summer: How to prepare for war in time of peace. Not by fortifications, by navies, or by standing armies. But by policies which will add to the happiness and the comfort of all our people and which will tend to the distribution of intelligence [and] wealth equally among all. Our strength is a contented and intelligent community.
    Rutherford Birchard Hayes (1822–1893)