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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Proof In a random sample of size n from a gamma distribution with parameters 1 we have to prove that the mean X of a random sample of size n from the ...View the full answer
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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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