Let X 1 , X 2 , and X 3 be a set of three independent Bernoulli
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Let X1, X2, and X3 be a set of three independent Bernoulli random variables with unknown parameter p = P(Xi = 1). It was shown on p. 324 that p̂ = X1 + X2 + X3 is sufficient for p. Show that the linear combination p̂∗ = X1 + 2X2 + 3X3 is not sufficient for p.
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Related Book For
Introduction To Mathematical Statistics And Its Applications
ISBN: 9780321693945
5th Edition
Authors: Richard J. Larsen, Morris L. Marx
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