The moments generating function of a poisson exponential joint distribution

الملخص EN

In this paper, we derive the moment generating function of this joint p.

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random vector (X, N) Where X is defined as X = max 1s,sN X1 and X1, X2, …, XN is a random sample of size from N exponential distribution with N be a Poisson random variable, and use it in deriving some moments of this distribution.