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

Abstract

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.

Keywords

• concentration
• adjustment
• inequality
• statistics
• statistical distribution