Question: Suppose that X1, . . . , Xn form a random sample from the uniform distribution on the interval [0, ], where the value of

Suppose that X1, . . . , Xn form a random sample from the uniform distribution on the interval [0, θ], where the value of the parameter θ is unknown. Suppose also that the prior distribution of θ is the Pareto distribution with parameters x0 and α (x0 > 0 and α > 0), as defined in Exercise 16 of Sec. 5.7. If the value of θ is to be estimated by using the squared error loss function, what is the Bayes estimator of θ?

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