Show that the sum of the observations of a random sample of size n from a gamma
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Show that the sum of the observations of a random sample of size n from a gamma distribution that has pdf f(x; θ) = (1/θ)e−x/θ, 0 < x < ∞, 0 < θ < ∞, zero elsewhere, is a sufficient statistic for θ.
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Proof First we use the formula for a binomial random variable with probability mass function given b...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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