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LetX1,···,Xn ∼ f(x;θ)=θ e 1(x>0). Letθ0 be a certain specified number, and that the following hypotheses...

LetX1,···,Xn ∼ f(x;θ)=θ e 1(x>0). Letθ0 be a certain specified number, and that the following hypotheses are to be tested:

H0: θ≤θ0, H1: θ>θ0.
Find a UMP test of size α for the above testing problem.

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