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)
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.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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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