Question: Assume that X1, ...,Xn is a random sample from a BIN(1, ) distribution and that the prior distribution of is U(0, 1). Find the

Assume that X1, ...,Xn is a random sample from a BIN(1, θ) distribution and that the prior distribution of θ is U(0, 1). Find the Bayes estimator of θ if the loss function is L(θ, ˆθ)=(θ − ˆθ)

2/[θ(1 − θ)]3/2.

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