Question: Let X1, ...,Xn be a random sample from the distribution with f(x; ) = x1/( + 1)x,> 0,x = 1, 2, ... . Determine a

Let X1, ...,Xn be a random sample from the distribution with f(x; θ) =

θx−1/(θ + 1)x,θ> 0,x = 1, 2, ... . Determine a UMP test of the hypothesis H0 : θ = θ0 against the alternative H1 : θ>θ0, at significance level α.

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