Suppose that X1 and X2 are independent random variables with E(X1) = E(X2) = Î¼ and Var(X1)

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Suppose that X1 and X2 are independent random variables with
E(X1) = E(X2) = Î¼
and
Var(X1) = Var(X2) = 1
Show that the point estimate Xx + X2

has a smaller mean square error than the point estimate

when
|Î¼ - 10| ‰¤ ˆš6/2
Why would you expect 1 to have a smaller mean square error than 2 when Î¼ is close to 10?

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Probability And Statistics For Engineers And Scientists

ISBN: 9780495107576

3rd Edition

Authors: Anthony Hayter

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Question Posted: Jun 22, 2016 07:17 AM

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Suppose that X1 and X2 are independent random variables with E(X1) = E(X2) = Î¼ and Var(X1)

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A1 4

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Probability And Statistics For Engineers And Scientists

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