Kolmogorov-Smirnov isometries and affine automorphisms of spaces of distribution functions

被引：8

作者：

Molnar, Lajos ^{[1
]}

机构：

[1] Univ Debrecen, Inst Math, Debrecen, Hungary

来源：

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2011年 / 9卷 / 04期

基金：

匈牙利科学研究基金会;

关键词：

Kolmogorov-Smirnov metric; Absolute continuous distribution functions; Singular distribution functions; Discrete distribution functions; Isometry;

D O I：

10.2478/s11533-011-0034-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we describe the structure of surjective isometries of the spaces of all absolutely continuous, singular, or discrete probability distribution functions on R equipped with the Kolmogorov-Smirnov metric. We also study the structure of affine automorphisms of the space of all distribution functions.

引用

页码：789 / 796

页数：8