2. Let Y < Y, < Y; be the order statistic of a random sample of size 3 from the uniform distribution having pdff(x;0) = 1/0, 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 21E
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Let Y < Y, < Y3 be the order statistic of a random sample of size 3 from the uniform
distribution having pdff (x;0) = 1/0,0<x < 0, 0 < 0 <∞ , zero elsewhere. Show that
2.
4Y, and -Y, are unbiased estimators of 0. Find the variance of each of these unbiased
3
estimators. Which one is more efficient?
Transcribed Image Text:Let Y < Y, < Y3 be the order statistic of a random sample of size 3 from the uniform distribution having pdff (x;0) = 1/0,0<x < 0, 0 < 0 <∞ , zero elsewhere. Show that 2. 4Y, and -Y, are unbiased estimators of 0. Find the variance of each of these unbiased 3 estimators. Which one is more efficient?
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