article · Numerical Functional Analysis and Optimization · 1993

Rounding Proportions:Rules of Rounding

Cited by 37Abstract and details only

Abstract

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) who assessed the probability that conventionally rounded proportions add to 1. In particular, it is shown that other rules of rounding canimprove upon the conventional rule. Keywords: rounding vectorsrounding tablesrounding proportionsprobability metricsapportionment

Cite this paper

APA 7

Balinski, M., & Rachev, S. T. (1993). Rounding Proportions:Rules of Rounding. Numerical Functional Analysis and Optimization, 14(5-6), 475–501. https://doi.org/10.1080/01630569308816535

MLA 9

Balinski, Michel, and Svetlozar T. Rachev. “Rounding Proportions:Rules of Rounding.” Numerical Functional Analysis and Optimization, vol. 14, no. 5-6, 1993, pp. 475–501, https://doi.org/10.1080/01630569308816535.

Chicago

Balinski, Michel, and Svetlozar T. Rachev. 1993. “Rounding Proportions:Rules of Rounding.” Numerical Functional Analysis and Optimization 14 (5-6): 475–501. https://doi.org/10.1080/01630569308816535.

Harvard

Balinski, M. and Rachev, S.T. (1993) ‘Rounding Proportions:Rules of Rounding’, Numerical Functional Analysis and Optimization, 14(5-6), pp. 475–501. Available at: https://doi.org/10.1080/01630569308816535.

BibTeX

@article{balinski1993rounding,
  title = {{Rounding Proportions:Rules of Rounding}},
  author = {Balinski, Michel and Rachev, Svetlozar T.},
  journal = {Numerical Functional Analysis and Optimization},
  volume = {14},
  number = {5-6},
  pages = {475--501},
  year = {1993},
  doi = {10.1080/01630569308816535}
}

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