Question: Answer the question below. 5. (9 pt) Suppose Y1, Yz, ..., Y constitute a random sample from an exponential distribution with parameter , [5' >

Answer the question below.

5. (9 pt) Suppose Y1, Yz, ..., Y" constitute a random sample from an exponential distribution with parameter , [5' > 0. a. (5) Consider = 5 E as an estimator for . Is 3' an unbiased estimator for ? Why or why not? Find the bias of ['35 as an estimator for if it is not unbiased. Find the maximum likelihood estimator for ,6 . b. (4) Can you use Theorem 9.1 or Week Law of Large Numbers to determine if b" = 5 Y" is a consistent estimator for ? Explain

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