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i am confused 3. Let X1, ..., X, be iid random variables with common pdf fO= 2102 0 3. Let XL, Let Y = ,

i am confused

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3. Let X1, ..., X, be iid random variables with common pdf fO= 2102 0

3. Let XL, Let Y = , Xn be iid random variables with cx3rnmon pdf 292 0 < 1/9, O otherwise a) Show that Y is MLE for 9. b) What is the bias Of this estimator? c) Obtian an unbiased estimator Of 9 based on Y. d) Which Of the above two estimators is better, based on the mean squared error Of these two estimators. e) Prove that Y -+ 9 in probability, by first obtaining the cdf Of Y. f) Is Y also sufficient for 9? Show your work for your conclusion.

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