Question: Let X1, ,Xn be i.i.d. random sample from f(x|) = ( c()d(x) a x b(), 0 otherwise, where b() is a monotonically increasing function of

Let X1, ,Xn be i.i.d. random sample from f(x|) = ( c()d(x) a x b(), 0 otherwise, where b() is a monotonically increasing function of the single parameter . Assume that a, b(), c(), and d() are known constants or functions, and c and d are nonnegative. (a) What is the representation of c() in terms of a, b(), and d()? Is c() increasing or decreasing with respect to ? (b) Find LRT statistic (X) for testing H0 : 0 against H1 :

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