Let Y 1 < Y 2 < < Y n be the order statistics
Question:
Let Y1 < Y2 < · · · < Yn be the order statistics of a random sample of size n from a distribution with pdf f(x) = 1, 0 < x < 1, zero elsewhere. Show that the kth order statistic Yk has a beta pdf with parameters α = k and β = n − k + 1.
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Yk does not have a beta distribution Evaluate the proba...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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