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Pré-Publication, Document De Travail Année : 2020

A constructive method to minimize couple matchings

Résumé

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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Dates et versions

hal-03086553 , version 1 (22-12-2020)
hal-03086553 , version 2 (27-02-2022)
hal-03086553 , version 3 (13-02-2023)

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Pierre Bertrand, Michel Broniatowski, Jean-François Marcotorchino. A constructive method to minimize couple matchings. 2020. ⟨hal-03086553v3⟩
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