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.
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“There is the illusion of time, which is very deep; who has disposed of it? Mor come to the conviction that what seems the succession of thought is only the distribution of wholes into causal series.”
—Ralph Waldo Emerson (1803–1882)
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