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Suppose X1,..., Xn is a random sample from a distribution specified by the cumulative distri- bution function F(x) = (x/K)ª for a > 0 and 0 < x < K, where a is known. Derive the distribution of T = max (X1,.., X,) and use that to show that a 100(1 – a) percent confidence interval for K

Suppose X1,..., Xn is a random sample from a distribution specified by the cumulative distri- bution function F(x) = (x/K)ª for a > 0 and 0 < x < K, where a is known. Derive the distribution of T = max (X1,.., X,) and use that to show that a 100(1 – a) percent confidence interval for K

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Suppose X1,..., Xn is a random sample from a distribution specified by the cumulative distri- bution function F(x) = (x/K)ª for a > 0 and 0< x< K, where a is known. Derive the distribution of T = max (X1,..., Xn) and use that to show that a 100(1– a) percent confidence interval for K is a) [T (1 – 3)-1/(n0) ,T ()/(m]. 1/(na) b) [T (1 – )/(mo) ,T (§)-1/(]. e) [T (1– 3)/(n),T (3)/]. d) [T (1 – 3)-1/(m) ,T (§)-/].
Transcribed Image Text:Suppose X1,..., Xn is a random sample from a distribution specified by the cumulative distri- bution function F(x) = (x/K)ª for a > 0 and 0< x< K, where a is known. Derive the distribution of T = max (X1,..., Xn) and use that to show that a 100(1– a) percent confidence interval for K is a) [T (1 – 3)-1/(n0) ,T ()/(m]. 1/(na) b) [T (1 – )/(mo) ,T (§)-1/(]. e) [T (1– 3)/(n),T (3)/]. d) [T (1 – 3)-1/(m) ,T (§)-/].
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