Let X1,..., Xn be a random sample from a population with pdf f(x|) = x-1 , 0

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Let X1,..., Xn be a random sample from a population with pdf
f(x|θ) = θxθ-1 , 0 < x < 1, θ > 0.
a. Is ∑Xi sufficient for θ?
b. Find a complete sufficient statistic for θ.
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Statistical Inference

ISBN: 978-0534243128

2nd edition

Authors: George Casella, Roger L. Berger

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