This is a preview. Log in through your library . Abstract Let Y1, Y2,⋯, be a sequence of independent, identically distributed random variables, g some symmetric 0-1 function of m variables and set ...

Prékòpa's theorem gives a qualitative sufficient condition for a completely random point process to be Poisson. A generalization of this theorem is presented. The proof is elementary and uses a ...

It is a well known fact that for the hierarchical model of a Poisson random variable Y whose mean has an Erlang distribution, the unconditional distribution of Y is negative binomial. However, the ...

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