Let X1, , Xn be a random sample from the pdf f(x ) x 2, 0 x a What is a sufficient statistic for b Find the MLE of c Find the method of moment 's estimator of ...

a f x II i x i 2 I x i II i x i 2 n I x 1 Thus X 1 is a sufficient statistic for by the Facto ...

Let X1,..., Xn be a random sample from the pdf f(x|) = x-2, 0 < <

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Let X1,..., Xn be a random sample from the pdf
f(x|θ) = θx-2, 0 < θ < x < ∞.
a. What is a sufficient statistic for θ?
b. Find the MLE of θ.
c. Find the method of moment's estimator of θ.

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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 05:26 AM

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Let X1,..., Xn be a random sample from the pdf f(x|) = x-2, 0 < <

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