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Marc Barbut au pays des médianes

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  • Bernard Monjardet

    (CAMS - Centre d'Analyse et de Mathématique sociales - EHESS - École des hautes études en sciences sociales - CNRS - Centre National de la Recherche Scientifique, CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

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," Post-Print halshs-00825005, HAL.
    • Handle: RePEc:hal:journl:halshs-00825005
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00825005
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    References listed on IDEAS

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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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