# Accession Number:

## AD0621151

# Title:

## ON THE PROPERTIES OF SUBSET SELECTION PROCEDURES.

# Descriptive Note:

## Mimeograph series,

# Corporate Author:

## PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS

# Personal Author(s):

# Report Date:

## 1965-08-01

# Pagination or Media Count:

## 27.0

# Abstract:

Some desirable properties are studied of a selection procedure which selects the normal population with mean m and variance unity i1,2,...,k if the observed sample mean x sub i from p contained in xMax- d, xmax. This rule earlier studied by Gupta 1956, 1965 is compared with the approximate optimal rule D of Seal 1955. It is shown that the rule R is minimax. It is also shown that under the slippage configuration of means given by m,m,...,m delta the expected size of the selected subset using R is smaller than that corresponding to D and that the probability of a correct selection using R is strictly greater than that of D, provided delta satisfies some inequalities. Under a more general linear loss function, the Bayes rule for selecting a subset is also derived. Author