18.15 A random sample X1, . . . , Xn comes from a uniform distribution (see Section 6.1) population U(0, ) with unknown . The

18.15 A random sample X1, . . . , Xn 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, 0.01, 0.42, 1.03, 0.43, 1.02, 0.83, 0.88 Suppose the prior distribution of θ has the density

π(θ) =

 1

θ 2, θ>1, 0, θ≤ 1.

Determine the Bayes estimator under the absoluteerror loss function.