Even though you usually request the Poisson distribution by specifying DIST=POISSON as a MODEL statement option, you can define the variance and deviance functions for the Poisson distribution by ...
For binomial and Poisson distributions, the scale parameter has a value of 1. The variance of Y is for the binomial distribution and for the Poisson distribution. Overdispersion occurs when the ...
Underdispersion: A situation where the variance of count data is less than the mean. Zero-Inflated Poisson Distribution: A statistical distribution used for count data that has an excess of zero ...