Une famille de distributions : des paretiennes aux "contra-paretiennes"

Mathématiques et sciences humaines. Mathematics and social sciences

Barbut, Marc¹ 

关键词: terms clustering;    knowledge acquisition;    ontology;    concept learning;    corpus analysis;    statistical data analysis;    text-mining;   

DOI  :  10.4000/msh.2777

学科分类：数学（综合）

来源: College de France * Ecole des Hautes Etudes en Sciences Sociales (E H E S S)

【 摘 要 】

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.

【 授权许可】

Unknown