Let X1, ..., Xn be iid gamma(a, B), and, independently, Y1,..., Ym iid gamma(a, kß), where k is known, and a, ß > 0 are parameters. Find a two-dimensional sufficient statistic for (a, B). Use the 1 gamma(a, B) PDF ƒ (x | a, ß) = Nol a-le-/B. gamma(a, B) PDF f (x | a, B) = T(@)Ba

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Let X1,..., Xn be iid gamma(a, B), and, independently, Y1,..., Ym
iid gamma(a, kß), where k is known, and a, B > 0 are parameters.
Find a two-dimensional sufficient statistic for (a, B). Use the
gamma(a, B) PDF ƒ(x | a, ß) =
1
a-1
T(@)Ba
Transcribed Image Text:Let X1,..., Xn be iid gamma(a, B), and, independently, Y1,..., Ym iid gamma(a, kß), where k is known, and a, B > 0 are parameters. Find a two-dimensional sufficient statistic for (a, B). Use the gamma(a, B) PDF ƒ(x | a, ß) = 1 a-1 T(@)Ba
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