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