Ononot — In a Bayesian analysis of a parameter \theta, we use a flat

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Inferential Statisticshard

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In a Bayesian analysis of a parameter $\theta$ , we use a flat prior $\pi(\theta) \propto 1$ . Given a likelihood function $L(\theta) = \exp(-\frac{1}{2}(\theta - 5)^2)$ , what is the Maximum A Posteriori (MAP) estimator?