9.80 mathematic statistic/ wackerly

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

a. Find the MLE λ hat for λ

b. Find teh expected value and variance of λhat.

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

d. What is the MLE for the P(Y=0)= e-λ?


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