On the Determination of Optimum Probabilities in Sampling

On the Determination of Optimum Probabilities in Sampling

In a previous paper [2] it was shown that it is sometimes profitable to select sampling units with probability proportionate to size of the unit. This note indicates a method of determining the probabilities of selection which minimize the variance of the sample estimate at a fixed cost. Some approx...

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Veröffentlicht in:The Annals of mathematical statistics 1949-09, Vol.20 (3), p.426-432
Hauptverfasser: Hansen, Morris H., Hurwitz, William N.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Consistent estimators
Cost estimates
Cost functions
Fixed costs
Mathematical optima
Proportions
Unit costs
Variable costs
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Beschreibung
Zusammenfassung:In a previous paper [2] it was shown that it is sometimes profitable to select sampling units with probability proportionate to size of the unit. This note indicates a method of determining the probabilities of selection which minimize the variance of the sample estimate at a fixed cost. Some approximations that have practical applications are given.
ISSN:0003-4851
2168-8990
DOI:10.1214/aoms/1177729994