## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 35, Number 1 (1964), 174-180.

### A Sequential Procedure for Selecting the Population with the Largest Mean from $k$ Normal Populations

#### Abstract

In this paper sequential procedures are given for selecting the normal population with the greatest mean when (a) the $k$ populations have a common known variance or (b) the $k$ populations have a common but unknown variance, so that in each case the probability of making the correct selection exceeds a specified value when the greatest mean exceeds all other means by at least a specified amount. The procedures in the present paper all have the property that inferior populations can be eliminated from further consideration as the experiment proceeds.

#### Article information

**Source**

Ann. Math. Statist., Volume 35, Number 1 (1964), 174-180.

**Dates**

First available in Project Euclid: 27 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aoms/1177703739

**Digital Object Identifier**

doi:10.1214/aoms/1177703739

**Mathematical Reviews number (MathSciNet)**

MR161448

**Zentralblatt MATH identifier**

0136.39404

**JSTOR**

links.jstor.org

#### Citation

Paulson, Edward. A Sequential Procedure for Selecting the Population with the Largest Mean from $k$ Normal Populations. Ann. Math. Statist. 35 (1964), no. 1, 174--180. doi:10.1214/aoms/1177703739. https://projecteuclid.org/euclid.aoms/1177703739