If we assume in Example 9.8 that is a random variable having a uniform density with = 0 and = 1, show that

If we assume in Example 9.8 that is a random variable having a uniform density with α = 0 and β = 1, show that the Bayes risk is given by

Also show that this Bayes risk is a minimum when a = 1 and b = 2, so that the optimum Bayes decision rule is given by d (x) = x+ 1 / n+ 2.

-)+(n-2ab)+a (n+ b)?