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September, 1949 On the Determination of Optimum Probabilities in Sampling
Morris H. Hansen, William N. Hurwitz
Ann. Math. Statist. 20(3): 426-432 (September, 1949). DOI: 10.1214/aoms/1177729994


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.


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Morris H. Hansen. William N. Hurwitz. "On the Determination of Optimum Probabilities in Sampling." Ann. Math. Statist. 20 (3) 426 - 432, September, 1949.


Published: September, 1949
First available in Project Euclid: 28 April 2007

zbMATH: 0034.23003
MathSciNet: MR30729
Digital Object Identifier: 10.1214/aoms/1177729994

Rights: Copyright © 1949 Institute of Mathematical Statistics

Vol.20 • No. 3 • September, 1949
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