variances of Yk+1, V

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 3CR
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What is the variance of Y_k+1

Consider a random sample X₁, X₂, ... Xn coming from the uniform distribution over the interval
(µ − √30, µ + √30). Let Y₁ ≤ ··· ≤ Y₁ denote the corresponding order statistics. Compare the
variances of Yk+1, where n = 2k + 1 and (Y₁ + Y₂) / 2.
Transcribed Image Text:Consider a random sample X₁, X₂, ... Xn coming from the uniform distribution over the interval (µ − √30, µ + √30). Let Y₁ ≤ ··· ≤ Y₁ denote the corresponding order statistics. Compare the variances of Yk+1, where n = 2k + 1 and (Y₁ + Y₂) / 2.
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