Generating Ordered Families of Lorenz Curves by Strongly Unimodal Distributions
利用强单峰分布生成有序洛伦兹曲线族
From any strongly unimodal density on the real line, it is possible to generate a one-parameter family of Lorenz curves. The resulting families of Lorenz curves are Lorenz ordered with respect to the indexing parameter. Symmetry of the unimodal density results in the generation of symmetric Lorenz curves. A related characterization of the normal distribution is presented.