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Show that the sum of the observations of a random sample of size n from a...

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. Use Neyman's Factorization Theorem.

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