Inferential Statisticshard
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Consider the UMP test for H0:θ=θ0H_0: \theta = \theta_0 vs Ha:θ>θ0H_a: \theta > \theta_0 for an exponential family f(xθ)=h(x)c(θ)eθT(x)f(x|\theta) = h(x)c(\theta)e^{\theta T(x)}. According to the Karlin-Rubin Theorem, what is the structure of the UMP test?