1. Let X1, , Xn be iid with population densityx > 8,fx(x) =otherwise.X-8Here 8,0 are unknown population parameters. You can use the fact that has Exp(1)distribution without proof in this problem.Does the Cramer-Rao lower bound exist for any unbiased estimator 8 of 8? Ifyes find it. If no explain why.Does the Cramer-Rao lower bound exist for any unbiased estimator 0 of 0? Ifyes find it. If no explain why.

Answered: Image /qna-images/answer/7da4da59-e8c7-4c84-9198-9230024c0522.jpg

Let X1,· , Xn be iid with population density x > 8, fx (x) = {de- otherwise. Here d,0 are unknown population parameters. You can use the fact that has Exp(1) distribution without proof in this problem. X-8 Does the Cramer-Rao lower bound exist for any unbiased estimator d of 8? If

Let X1,· , Xn be iid with population density x > 8, fx (x) = {de- otherwise. Here d,0 are unknown population parameters. You can use the fact that has Exp(1) distribution without proof in this problem. X-8 Does the Cramer-Rao lower bound exist for any unbiased estimator d of 8? If

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 1E

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Estimation

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Question

1. Let X1, , Xn be iid with population density
x > 8,
fx(x) =
otherwise.
X-8
Here 8,0 are unknown population parameters. You can use the fact that has Exp(1)
distribution without proof in this problem.
Does the Cramer-Rao lower bound exist for any unbiased estimator 8 of 8? If
yes find it. If no explain why.
Does the Cramer-Rao lower bound exist for any unbiased estimator 0 of 0? If
yes find it. If no explain why.

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