# Accession Number:

## ADA133387

# Title:

## An Estimation Problem Relating to Subset Selection for Normal Populations.

# Descriptive Note:

## Technical rept.,

# Corporate Author:

## PURDUE UNIV LAFAYETTE IN DEPT OF STATISTICS

# Personal Author(s):

# Report Date:

## 1983-08-01

# Pagination or Media Count:

## 26.0

# Abstract:

Let p sub 1, p sub 2,..., pi sub k be k independent normal populations with unknown means theta sub 1, theta sub 2,..., theta sub k, respectively, and a common known variance tau sub 2. The population associated with the largest theta sub i is called the best population. In the subset selection approach, the authors want to select a nonempty subset of the k populations so that it includes the best population with a minimum guaranteed probability. The basic idea of the subset selection approach is that the number of populations to be selected should depend upon the evidence supplied by the data.

# Descriptors:

# Subject Categories:

- Statistics and Probability