On the Properties of Subset Selection Procedures

On the Properties of Subset Selection Procedures

This paper deals with the comparison of selection and ranking procedures investigated by Seal (1955) and by Gupta (1956) for the means of k normal populations, (k ≥ 2). It is shown for a particular slippage configuration that the expected size of the selected subset is smaller for R (Gupta's ru...

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Veröffentlicht in:Sankhya. Series A 1968-03, Vol.30 (1), p.37-50
Hauptverfasser: Deely, John J., Gupta, Shanti S.
Format: Artikel
Sprache:eng
Schlagworte:
A priori knowledge
Decision making
Integers
Mathematical vectors
Population mean
Probabilities
Random variables
Sample mean
Statistical variance
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Zusammenfassung:This paper deals with the comparison of selection and ranking procedures investigated by Seal (1955) and by Gupta (1956) for the means of k normal populations, (k ≥ 2). It is shown for a particular slippage configuration that the expected size of the selected subset is smaller for R (Gupta's rule) than for D̄ (Seal's rule). The subset selection problem is also considered from a Bayesian approach. The Bayes procedure is shown to select only one population for a large class of linear loss functions.
ISSN:0581-572X