Let X 1 ,X 2 , . . .,X n be a random sample from a Poisson
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Let X1,X2, . . .,Xn be a random sample from a Poisson distribution with mean μ. Thus, Y = Σni=1 Xi has a Poisson distribution with mean nμ. Moreover, ‾X = Y/n is approximately N(μ, μ/n) for large n. Show that u(Y/n) =Y/n is a function of Y/n whose variance is essentially free of μ.
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Related Book For
Introduction To Mathematical Statistics
ISBN: 9780321794710
7th Edition
Authors: Robert V., Joseph W. McKean, Allen T. Craig
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