Assume a random variable is observed. It is desired to estimate e under squared-error loss. Find a nonrandomized decision rule 5 which is R-better than the randomized decision rule where Also,...

Assume a random variable

is observed. It is desired to estimate e under squared-error loss. Find a nonrandomized decision rule 5 which is R-better than the randomized decision rule

where

Also, calculate

Which of the functions in Exercises 22 and 23 are strictly convex or strictly concave.