Question: A random sample X , , X comes from a uniform distribution (see Section 6.1) population U(0, ) with unknown . The data are given

A random sample X , …, X comes from a uniform distribution (see Section 6.1) population U(0, θ) with unknown

θ. The data are given below:

0.13, 1.06, 1.65, 1.73, 0.95, 0.56, 2.14,0.33, 1.22, 0.20, 1.55, 1.18, 0.71,Suppose the prior distribution of θ has the density 1 n0.01, 0.42, 1.03, 0.43, 1.02, 0.83, 0.88Determine the Bayes estimator under the absolute-error loss function.

0.13, 1.06, 1.65, 1.73, 0.95, 0.56, 2.14,0.33, 1.22, 0.20, 1.55, 1.18, 0.71, 0.01, 0.42, 1.03, 0.43, 1.02, 0.83, 0.88

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