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If Y1, Y2,..., Yn denote a random sample from an exponential distribution with mean
Chapter 8, Problem 8.36(choose chapter or problem)
If Y1, Y2,..., Yn denote a random sample from an exponential distribution with mean , then E(Yi) = and V(Yi) = 2. Thus, E(Y ) = and V(Y ) = 2/n, or Y = /n. Suggest an unbiased estimator for and provide an estimate for the standard error of your estimator
Questions & Answers
QUESTION:
If Y1, Y2,..., Yn denote a random sample from an exponential distribution with mean , then E(Yi) = and V(Yi) = 2. Thus, E(Y ) = and V(Y ) = 2/n, or Y = /n. Suggest an unbiased estimator for and provide an estimate for the standard error of your estimator
ANSWER:Step 1 of 3
Given that,
If denote a random sample from an exponential distribution with mean , then and. Thus , and or .
It is required to suggest an unbiased estimator for and provide an estimate for the standard error of your estimator.