Rounding proportions: Rules of rounding

Svetlozar T. Rachev; Michel L. Balinski

doi:10.1080/01630569308816535

Rounding proportions: Rules of rounding

Svetlozar T. Rachev, Michel L. Balinski

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

Failure to add to 1—to be “justified” to 1—occurs frequently in reported sets of rounded data. The probabilities for different rules of rounding vectors and tables to give “justified” results under varying assumptions concerning the probabilistic structure of the data are computed. This extends the pioneering work of Mosteller Youtz, and Zahn (1967) and Diaconis and Freedman (1979) wh< assessed the probability that conventionally rounded proportions add to 1. In particular, it is shown that other rules of rounding can improve upon the conventional rule.

Original language	English
Pages (from-to)	475-501
Number of pages	27
Journal	Numerical Functional Analysis and Optimization
Volume	14
Issue number	5-6
DOIs	https://doi.org/10.1080/01630569308816535
State	Published - Jan 1 1993

Keywords

apportionment
rounding vectors rounding tables rounding proportionss probability metrics

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Rounding proportions: Rules of rounding

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