The Annals of Mathematical Statistics

On the Determination of Optimum Probabilities in Sampling

Morris H. Hansen and William N. Hurwitz

Full-text: Open access

Abstract

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.

Article information

Source
Ann. Math. Statist., Volume 20, Number 3 (1949), 426-432.

Dates
First available in Project Euclid: 28 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aoms/1177729994

Digital Object Identifier
doi:10.1214/aoms/1177729994

Mathematical Reviews number (MathSciNet)
MR30729

Zentralblatt MATH identifier
0034.23003

JSTOR
links.jstor.org

Citation

Hansen, Morris H.; Hurwitz, William N. On the Determination of Optimum Probabilities in Sampling. Ann. Math. Statist. 20 (1949), no. 3, 426--432. doi:10.1214/aoms/1177729994. https://projecteuclid.org/euclid.aoms/1177729994


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