Sainte-Laguë’s chi-square divergence for the rounding of probabilities and its convergence to a stable law

DOI10.1524/stnd.22.1.43.32717zbMath1068.60029OpenAlexW2143077326MaRDI QIDQ4659566

Friedrich Pukelsheim, Udo Schwingenschlögl, Lothar Heinrich

Publication date: 21 March 2005

Published in: Statistics & Decisions (Search for Journal in Brave)

Full work available at URL: https://opus.bibliothek.uni-augsburg.de/opus4/files/48180/%5BStatistics%20amp%20Risk%20Modeling%5D%20Sainte-Lagus%20chi-square%20divergence%20for%20the%20rounding%20of%20probabilities.pdf

zbMATH Keywords

rounding error analysisLévy-stable distributionapportionment methodsrounding probability vectors

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Irregularities of distribution, discrepancy (11K38)

Related Items (6)

Goodness-of-fit criteria for the Adams and Jefferson rounding methods and their limiting laws ⋮ Measurement of disproportionality in proportional representation systems ⋮ A stable limit law for recurrence times of the simple random walk on the two-dimensional integer lattice ⋮ Seat biases of apportionment methods under general distributional assumptions ⋮ The variance of the discrepancy distribution of rounding procedures, and sums of uniform random variables ⋮ Asymptotic bias of some election methods

Uses Software

• STABLE

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