Let Y 1 < Y 2 < < Y n denote the order statistics
Question:
Let Y1 < Y2 < · · · < Yn denote the order statistics of a random sample of size n from a distribution that has pdf f(x) = 3x2 θ3, 0 < x < θ, zero elsewhere.
(a) Show that P(c < Yn/θ < 1) = 1 − c3n, where 0 < c < 1.
(b) If n is 4 and if the observed value of Y4 is 2.3, what is a 95% confidence interval for θ?
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a As 0 Y1 Y2 Yn Therefore From above expression and the Chebys...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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