What does this mean: Find discrete multivariate distributions which have explicit formula for their joint probability generating function? Please if anyone understand this question , just give an example or expression for me!
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I am assuming that you know what an MGF is. So, looking at this question, you will have to find the MGFS of multiple variate distributions.
For example, Lets take the Poisson distribution. 1. It is univariate 2. It is discrete and has an MGF
https://en.wikipedia.org/wiki/Poisson_distribution
MGF can be calculated by E(e^tx) for any distribution.