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Suppose we wish to use an estimator of the form = c, such that is an unbiased estimator of 0. Then, what must the value of c be? (A) 1/(n+1) (B) 1/(n-1) (C) 1/n (D) (n+1)/n (E) n/(n+1)

Suppose we wish to use an estimator of the form = c, such that is an unbiased estimator of 0. Then, what must the value of c be? (A) 1/(n+1) (B) 1/(n-1) (C) 1/n (D) (n+1)/n (E) n/(n+1)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Answer is D 9. Suppose that X₁, X2,..., Xn is a random sample from U(0,0) distribution. It can be shown that the maximum likelihood estimator of 0 is 0= max {X₁, X₂,..., X} and furthermore, its sampling distribution is f*(x: 0) = - {* 0 (A) 1/(n +1) (B) 1/(n-1) (C) 1/n (D) (n+1)/n (E) n/(n+1) for 0 < x≤ 0, otherwise. Suppose we wish to use an estimator of the form = c, such that is an unbiased estimator of 8. Then, what must the value of c be?
Transcribed Image Text:Answer is D 9. Suppose that X₁, X2,..., Xn is a random sample from U(0,0) distribution. It can be shown that the maximum likelihood estimator of 0 is 0= max {X₁, X₂,..., X} and furthermore, its sampling distribution is f*(x: 0) = - {* 0 (A) 1/(n +1) (B) 1/(n-1) (C) 1/n (D) (n+1)/n (E) n/(n+1) for 0 < x≤ 0, otherwise. Suppose we wish to use an estimator of the form = c, such that is an unbiased estimator of 8. Then, what must the value of c be?
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