One‐Pass Selection of a Sample with Probability Proportional to Size

Clive Richardson

Journal of the Royal Statistical Society Series C, 1989, vol. 38, issue 3, 517-520

Abstract: This note shows how the method of McLeod and Bellhouse for simple random sampling without replacement can be adapted to yield a sample with selection probabilities proportional to a size measure, in a single pass through a list of sampling units without knowing the total size of the list. A variation given by Pinkham can also be adapted: this calls for the generation of a much lower number of random deviates.

Date: 1989
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