Let Y 1 < Y 2 < < Y n be the order statistics
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Let Y1 < Y2 < · · · < Yn be the order statistics of a random sample from a N(θ, σ2), −∞ < θ < ∞, distribution. Show that the distribution of Z = Yn − ‾X does not depend upon θ. Thus ‾Y = Σn1 Yi/n, a complete sufficient statistic for θ is independent of Z.
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Proof By Theorem 3 in Let Z Yn X Then Z has the same distribu...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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