Suppose that X1, . . . , Xn form a random sample from the Bernoulli distribution with

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Suppose that X1, . . . , Xn form a random sample from the Bernoulli distribution with unknown parameter p. Show that the variance of every unbiased estimator of (1− p)2 must be at least 4p(1− p)3/n.
Distribution
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Probability And Statistics

ISBN: 9780321500465

4th Edition

Authors: Morris H. DeGroot, Mark J. Schervish

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