Let X 1 ,X 2 , . . .,X n be a random sample from a distribution
Question:
Let X1,X2, . . .,Xn be a random sample from a distribution with pdf f(x; θ) = θ2xe−θx, 0 < x < ∞, where θ > 0.
(a) Argue that Y = Σn1 Xi is a complete sufficient statistic for θ.
(b) Compute E(1/Y ) and find the function of Y which is the unique MVUE of θ.
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a Let be an estimate of based on the sample X1 X2 Xn The ...View the full answer
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Related Book For 
Introduction To Mathematical Statistics
ISBN: 9780321794710
7th Edition
Authors: Robert V., Joseph W. McKean, Allen T. Craig
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