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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