Question: Let X1, ...,Xn be a random sample from the GAM(,) distribution. (i) Derive a UMP test for the hypothesis H0 : 0 against

Let X1, ...,Xn be a random sample from the GAM(α,λ) distribution. (i) Derive a UMP test for the hypothesis H0 : α ≤ α0 against the alternative H1 : α>α0 if λ is known. (ii) Derive a UMP test for the hypothesis H0 : λ ≤ λ0 against the alternative H1 : λ>λ0 if α is known.

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