In n independent trials with constant probability p of success, let Xi = 1 or 0 as

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In n independent trials with constant probability p of success, let Xi = 1 or 0 as the ith trial is a success or not. Then n i=1 Xi is minimal sufficient.

[Let T = Xi and suppose that U = f(T) is sufficient and that f(k1) = ยทยทยท =

f(kr) = u. Then P{T = t | U = u} depends on p.]

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Testing Statistical Hypotheses

ISBN: 9781441931788

3rd Edition

Authors: Erich L. Lehmann, Joseph P. Romano

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