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...

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Detalles Bibliográficos
Publicado en:URI:https://journals.openedition.org/msh,
Autor Principal: Barbut, Marc
Formato: Article ou chapitre numérique
Idioma:Français
Publicado: Mathématiques et sciences humaines 2006
Acceso en liña:Accès Université d'Orléans et IFPM
Accès Université d'Orléans et IFPM
Descripción
Résumé: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.