Question: Let X1, . . ., Xn be a simple random sample from the pdf f (x; a, 0) = 0-1 exp{-(x - a)/0}1{x > a}

Let X1, . . ., Xn be a simple random sample from the pdf f (x; a, 0) = 0-1 exp{-(x - a)/0}1{x > a} where a E R and 0 > 0 are unknown. 1. Find a UMP test of size a for testing Ho : a = do versus H1 : a # do 2. Find a UMP test of size a for testing Ho : a = ao, 0 = 60 Versus H1 : a

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