Suppose X 1 , . . . , X n are correlated random variables, with common mean

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Suppose X1, . . . , Xn are correlated random variables, with common mean μ and variance σ2 but with correlations ρ (all correlations are the same).
(a) Determine the variance of ‾X.
(b) Determine the constant K so that Q = KΣni=1(Xi − ‾X)2 is an unbiased estimate of the variance of ‾X.

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Introduction To Mathematical Statistics

ISBN: 9780321794710

7th Edition

Authors: Robert V., Joseph W. McKean, Allen T. Craig

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