On the Determination of Optimum Probabilities in Sampling
The Annals of Mathematical StatisticsPublished 1 September 1949Open access
Morris H. Hansen, William N. Hurwitz
Citations32
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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.
Keywords
Decision SciencesMathematicsEngineering