Let f(x) x1, 0 and 0 x 1 Show that n (In xi) is the maximum likelihood estimator for ...

L8 6x81 In L6 nlne 0 1 Inx ln L ...

Let f(x) = x1, 0 < < and 0 < x < 1.Show that = - n/(In

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Let f(x) = θxθ–1, 0 < θ < ∞ and 0 < x < 1.Show that Θ = - n/(In xi) is the maximum likelihood estimator for θ.

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Probability and Statistical Inference

ISBN: 978-0321923271

9th edition

Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

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Question Posted: Apr 05, 2010 03:45 AM

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Let f(x) = x1, 0 < < and 0 < x < 1.Show that = - n/(In xi) is the maximum likelihood for . Show that = -(1/n) = 1 in(Xi) is the maximum likelihood estimator for and that is an unbiased estimator for .
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Let f(x) = x1, 0 < < and 0 < x < 1.Show that = - n/(In

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