Show that the mean X of a random sample of size n from a distribution having pdf

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Show that the mean ‾X of a random sample of size n from a distribution having pdf f(x; θ) = (1/θ)e−(x/θ), 0 < x < ∞, 0 < θ < ∞, zero elsewhere, is an unbiased estimator of θ and has variance θ2/n.

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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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