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Inferential Statisticshard
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Consider the likelihood function L(θ;x)=θxθ−1L(\theta; x) = \theta x^{\theta-1}L(θ;x)=θxθ−1 for x∈[0,1]x \in [0, 1]x∈[0,1]. What is the Maximum Likelihood Estimator (MLE) θ^\hat{\theta}θ^ for a sample of size nnn?