What is the moment generating function of a Poisson distribution?

garnentas3m

garnentas3m

Answered

2022-01-16

What is the moment generating function of a Poisson distribution?

Answer & Explanation

Becky Harrison

Becky Harrison

Expert

2022-01-16Added 40 answers

eλ(et1)
Explanation:
The moment generating function of a Poisson distribution is
eλ(et1)
Mary Nicholson

Mary Nicholson

Expert

2022-01-17Added 38 answers

Let X be a discrete random variable with a Poisson distribution with parameter λ for some λR>0. Then the moment generating function MX of X is given by: MX(t)=eλ(et1)

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