The Annals of Mathematical Statistics

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

Edward Paulson

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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


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