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Inferential Statisticshard
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In a Bayesian analysis of a parameter θ\thetaθ, we use a flat prior π(θ)∝1\pi(\theta) \propto 1π(θ)∝1. Given a likelihood function L(θ)=exp⁡(−12(θ−5)2)L(\theta) = \exp(-\frac{1}{2}(\theta - 5)^2)L(θ)=exp(−21​(θ−5)2), what is the Maximum A Posteriori (MAP) estimator?