论文标题

一种建设性的方法,可以最大程度地减少夫妻匹配

A constructive method to minimize couple matchings

论文作者

Bertrand, Pierre, Broniatowski, Michel, Marcotorchino, Jean-François

论文摘要

本文为两个边缘分布之间的不确定性耦合提供了建设性的程序,这是独立耦合的替代方法。它还将不确定性的图纸引入了三个独立耦合的混合物中。在这种分解上,它指出,不确定性可以最佳地减少夫妇的匹配,从而最大程度地减少了连续绘制的相等夫妻的预期数量。此外,还可以看出,Janson Vegelius系数不过是对不确定性的偏差,并且表明当模态的数量增加时,它趋于0。

This paper provides constructive procedures for the indeterminacy coupling between two marginal distributions, an alternative to independence coupling. It also introduces a drawing under indeterminacy into a mixture of three independent couplings. Leveraging on this decomposition it states that indeterminacy optimally reduces couple matchings, minimizing the expected number of equal couples drawn in a row. Besides it is seen that the Janson Vegelius coefficient is nothing but a deviation to indeterminacy and it is shown that it tends to 0 when the number of modalities increases.

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