Let Y 1 < Y 2 < Y 3 < Y 4 denote the order statistics of
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Let Y1 < Y2 < Y3 < Y4 denote the order statistics of a random sample of size n = 4 from a distribution having pdf f(x; θ) = 1/θ, 0 < x < θ, zero elsewhere, where 0 < θ < ∞. Argue that the complete sufficient statistic Y4 for θ is independent of each of the statistics Y1/Y4 and (Y1 + Y2)/(Y3 + Y4).
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Proof The statistic Y4 is complete any value in 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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