A decision function _??_
*n which takes the place of an optimum selection φ
* of a subpopulation (or a subset) of individuals from a population is given on the basis of a kernel-type estimator _??_
n of a regression function η, where _??_
n has the form similar to the Perzen Kernel-type density estimator. Further the risk of _??_ is evaluated with a given sample size
n. As a preparation of the above-mentioned result, an integration of the mean square error of _??_
n is also evaluated.
View full abstract