Suppose that X1, , Xn form a random sample from a distribution that belongs to an exponential family, as defined in Exercise 23 of Sec 7 3, and the p d f or the p f of this distribution is f (x ), as given in that exercise Suppose also that c() is a strictly increasing function of Show that the joint p d f or the joint p f of X1, ,Xn has a monotone likelihood ratio in the statistic

Question: Suppose that X1, . . . , Xn form a random sample from a distribution that belongs to an exponential family, as defined in Exercise

Suppose that X1, . . . , Xn form a random sample from a distribution that belongs to an exponential family, as defined in Exercise 23 of Sec. 7.3, and the p.d.f. or the p.f. of this distribution is f (x|θ), as given in that exercise. Suppose also that c(θ) is a strictly increasing function of θ. Show that the joint p.d.f. or the joint p.f. of X1, . . . ,Xn has a monotone likelihood ratio in the statistic

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