Abstract
Ordinary rounding does not always satisfy a summation restriction on the rounding results. This can be resolved by applying multiplier methods, for which we present an easy-to-implement algorithm complemented by remarks on special families of multiplier methods, the arithmetic-mean and power-mean method, and a previously unaddressed family, the geometric-mean methods. Finally, several applications in statistics are pointed out, i.e. rounding percentages in descriptive statistics, rounding optimal designs of experiments, and rounding optimal sample allocations.
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The authors would like to thank F. Pukelsheim and M. Happacher for valuable discussion and the anonymous referce for thoughtful comments.
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Dorfleitner, G., Klein, T. Rounding with multiplier methods: An efficient algorithm and applications in statistics. Statistical Papers 40, 143–157 (1999). https://doi.org/10.1007/BF02925514
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DOI: https://doi.org/10.1007/BF02925514