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Mathematics, 14.12.2021 05:00 970032036

Suppose that Y1, Y2, . . . , Yn denote a random sample from the Poisson distribution with mean λ.

a Find the MLE ˆλ for λ.

b Find the expected value and variance of ˆλ.

c Show that the estimator of part (a) is consistent for λ.

d What is the MLE for P(Y = 0) = e−λ?

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