Une famille de distributions : des paretiennes aux « contra-paretiennes »

We define a family of statistical distributions using a common functional equation they satisfy; this family includes Pareto's distribution, the exponential distribution and a “contra-paretian” distribution.A very simple method for fitting these theoretical distributions to empirical data is br...

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Autor principal: Marc Barbut
Formato: article
Lenguaje:DE
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FR
IT
PT
Publicado: Unité Mixte de Recherche 8504 Géographie-cités 2004
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Acceso en línea:https://doaj.org/article/d7f344545cbe4054b033feca611de4bc
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Sumario:We define a family of statistical distributions using a common functional equation they satisfy; this family includes Pareto's distribution, the exponential distribution and a “contra-paretian” distribution.A very simple method for fitting these theoretical distributions to empirical data is briefly presented, and applied - with many details, and some success - to the rank-size distribution of French cities, during the 19th and 20th centuries, and its temporal evolution.