## The Annals of Mathematical Statistics

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

Edward Paulson

#### 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

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
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