Let Y 1 < Y 2 < < Y n be the order statistics
Question:
Let Y1 < Y2 < · · · < Yn be the order statistics of a random sample from a distribution with the pdf
θ1 < x < ∞, zero elsewhere, where −∞ < θ1 < ∞, 0 < θ2 < ∞. Show that the joint complete sufficient statistics Y1 and ‾X = ‾Y for the parameters θ1 and θ2 are independent of (Y2 − Y1) / Σn1 (Yi − Y1).
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Step by Step Answer:
The joint distribution of X and Y is the conditional distribution of Y given X or equivalently the p...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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