In Example 1, suppose it is desired to estimate 8 under squared-error loss, and that, for robustness reasons, it is deemed desirable to use a limited translation estimator, instead of the posterior...

In Example 1, suppose it is desired to estimate 8 under squared-error loss, and that, for robustness reasons, it is deemed desirable to use a limited translation estimator, instead of the posterior mean
 Suppose that an increase by 20% over the (minimax) risk of u₂
= 100 is deemed to be allowable. Find the limited translation estimator which achieves this limit, determine its Bayes risk, and evaluate the estimate for x = 115.