Show that Y = |X| is a complete sufficient statistic for > 0, where X has

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Show that Y = |X| is a complete sufficient statistic for θ > 0, where X has the pdf fX(x; θ) = 1/(2θ), for −θ < x < θ, zero elsewhere. Show that Y = |X| and Z = sgn(X) are independent.

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Introduction To Mathematical Statistics

ISBN: 9780321794710

7th Edition

Authors: Robert V., Joseph W. McKean, Allen T. Craig

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