Question: Let Y 1 , Y 2 , . . . , Y n be a random sample of size n from the pdf of Question

Let Y1, Y2, . . . , Yn be a random sample of size n from the pdf of Question 5.5.6,

fY(y; θ) = 1/(r − 1)!θr yr−1e−y/θ, 0 ≤ y

for positive parameter θ and r a known positive integer. Find a sufficient statistic for θ.

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