## The Annals of Statistics

### A Note on Optimal Subset Selection Procedures

#### Abstract

A result for constructing an "optimal" selection rule for selecting a subset of $k(\geqslant 2)$ populations is given. Attention is restricted to the class of rules for which the infimum of the probability of a correct selection, over a subset of the parameter space, is guaranteed to be a specified number. In this class a rule is derived which minimizes the supremum of the expected size of the selected subset.

#### Article information

Source
Ann. Statist., Volume 8, Number 5 (1980), 1164-1167.

Dates
First available in Project Euclid: 12 April 2007

https://projecteuclid.org/euclid.aos/1176345154

Digital Object Identifier
doi:10.1214/aos/1176345154

Mathematical Reviews number (MathSciNet)
MR585715

Zentralblatt MATH identifier
0459.62019

JSTOR