Efficiency of Subset Selection of an epsilon-Best Uniform Population Relative toSelection of the Best One

摘要

Assume k(= or > 2) uniform populations are given on (mu(i) - 1/2, mu(i) + 1/2)with location parameter mu(i) a member of R(sup 1), i = 1,...,k. The best population is defined as the population with the largest value of the location parameter. In epsilon-best population (with epsilon = or > 0) is a population with location parameter on a distance not larger than epsilon from the largest value of mu. It is possible to consider subset selection for an epsilon-best population relative to subset selection for the best one. The relative efficiency is defined and computed in dependence of k and epsilon for some values of the confidence level P* of selection.