Let X1,..., Xn be a random sample from the pdf f(x|) = e-(x-) where - <

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Let X1,..., Xn be a random sample from the pdf f(x|μ) = e-(x-μ) where - ∞ < μ < x < ∞.
a. Show that X(1) = mini Xi is a complete sufficient statistic.
b. Use Basu's Theorem to show that X(1) and S2 are independent.

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Statistical Inference

ISBN: 978-0534243128

2nd edition

Authors: George Casella, Roger L. Berger

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Question Posted: May 26, 2016 05:23 AM

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Let X1,..., Xn be a random sample from the pdf f(x|) = e-(x-) where - <

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a From Exercise 69b we have that X 1 is a minimal sufficient statistic To check completene...View the full answer

Statistical Inference

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