Journal of the American Statistical Association volume 81, issue 393, P129-131 1986 DOI: 10.1080/01621459.1986.10478249 View full text
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Irwin Guttman, Ulrich Menzefricke

Abstract: Renewal theory and Bayesian decision theory are used to solve a problem related to counting a large number of items by weighing them. Specifically, a batch is to be obtained containing a given number of items by adding items until their total weight reaches a critical value that can depend on the results of a preliminary sample. Furthermore, the optimal sample size for this preliminary sample is to be determined. The distribution of individual weights is assumed to be normal.