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Marc Barbut au pays des médianes

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Abstract

The notion of median originally appeared in Statistics was introduced more later in Algebra and Combinatorics. Marc Barbut was the first to develop the link between these two notions of median. I present his precursory works linking the metric medians and the algebraic medians of a distributive lattice and using these links within the framework of the "median procedure" in data analysis. I also give a short survey on the development of the – more general – theory of "median spaces" and I mention some problems about the median procedure.

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  • Bernard Monjardet, 2013. "Marc Barbut au pays des médianes," Documents de travail du Centre d'Economie de la Sorbonne 13039, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    • Handle: RePEc:mse:cesdoc:13039
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    1. Ali, Alnur & Meilă, Marina, 2012. "Experiments with Kemeny ranking: What works when?," Mathematical Social Sciences, Elsevier, vol. 64(1), pages 28-40.
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    Keywords

    Distributive lattice; majority relation; median graph; median procedure; median semilattice; metric space;
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