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Apportionment methods are used in proportional representation systems for rounding electoral vote proportions to integer numbers of seats in parliament. Many criteria are known to judge this adjustment process and to decide whether a specific method is suitable for practical use. As in general it is not possible to fulfill all desired criteria together, it is necessary to consider probabilities of...
Multiplier methods are used to round probabilities on finitely many categories to rational proportions. Focusing on the classical methods of Adams and Jefferson, we investigate goodness-of-fit criteria for this rounding process. Assuming that the given probabilities are uniformly distributed, we derive the limiting laws of the criteria, first when the rounding accuracy increases, and then when the...
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