Suppose that x1 and x2 are random samples of observations from a population with mean m and

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Suppose that x1 and x2 are random samples of observations from a population with mean m and variance σ2. Consider the following three point estimators, X, Y, Z, of μ:
х Z=

a. Show that all three estimators are unbiased.
b. Which of the estimators is the most efficient?
c. Find the relative efficiency of X with respect to each of the other two estimators.

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Statistics For Business And Economics

ISBN: 9780132745659

8th Edition

Authors: Paul Newbold, William Carlson, Betty Thorne

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