Question
Suppose that instead of estimators of the form aX + e, we consider estimators of the form = aX and ask for the value
Suppose that instead of estimators of the form aX + e, we consider estimators of the form = aX and ask for the value of a that minimizes the mean squared error. Mimic the derivation you have just seen and find the optimal value of a. Your answer should be an algebraic expression involving some of the constants b, c, d, where b = E[02], c = E[OX],d=E[X].
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Get StartedRecommended Textbook for
Introduction to Probability
Authors: Mark Daniel Ward, Ellen Gundlach
1st edition
716771098, 978-1319060893, 1319060897, 978-0716771098
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