Q114Section C (Part C)114 of 120

Bayes estimators for a normal mean

Let $X_1,X_2,\dots,X_n$ be a random sample from $N(\theta,1)$ , $\theta\in\mathbb R$ . If $\hat\theta$ is the Bayes estimator of $\theta$ with respect to some prior $\pi(\theta)$ and loss function $L(\theta,d)$ . Then, which of the following statements are true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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