Question
Let X1, . . . , Xn be i.i.d. from Uniform distribution on the interval (1, 1 + 2), where 1 R, 2 > 0.
Let X1, . . . , Xn be i.i.d. from Uniform distribution on the interval (1, 1 + 2), where 1 R, 2 > 0. both 1 , 2 unknown.
Find UMVUE of 2, by proving unbiased statistics or conditional expectation.
(Hint: The jointly complete sufficient statistics for 1, 2 are the order statistics X(1), X(n) . You can use this fact without proof.)
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Calculus Early Transcendentals
Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin
9th Edition
1337613924, 978-1337613927
