Suppose that X1, , Xn form a random sample from the gamma distribution with parameters and Assume that is known and that is unknown ( 0) Show that the joint p d f of X1, , Xn has a monotone likelihood ratio in the statistic n

Question: Suppose that X1, . . . , Xn form a random sample from the gamma distribution with parameters and . Assume that is

Suppose that X1, . . . , Xn form a random sample from the gamma distribution with parameters α and β. Assume that α is known and that β is unknown (β > 0). Show that the joint p.d.f. of X1, . . . , Xn has a monotone likelihood ratio in the statistic −n.

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