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# Let X1, X2, ... , Xn be a random sample from a distribution with pdf f(x; ) = x1, 0 < x

ISBN: 9780321923271 41

## Solution for problem 6.7-4 Chapter 6.7

Probability and Statistical Inference | 9th Edition

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Problem 6.7-4

Let X1, X2, ... , Xn be a random sample from a distribution with pdf f(x; ) = x1, 0 < x < 1, where 0 < . (a) Find a sufficient statistic Y for . (b) Show that the maximum likelihood estimator 6 is a function of Y. (c) Argue that 6 is also sufficient for .

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STAT 113: Statistics and Society Fall 2016, ONLINE Syllabus Lecturer: Ellen Gundlach Email: gundlach@purdue.edu (best way to contact) Office: HAAS 114 (phone: 765-496-6875) T.A.: Yixi Xu, xu573@purdue.edu Office hours: Most questions and problems can be handled through e-mail. If you send your TA...

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