Characterizations of symmetric distributions using equi-distributions and moment properties of functions of order statistics

被引：6

作者：

Ahmadi, Jafar ^{[1
]}

Fashandi, M. ^{[1
]}

Nagaraja, H. N. ^{[2
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Stat, POB 1159, Mashhad 91775, Razavi Khorasan, Iran

[2] Ohio State Univ, Div Biostat, Columbus, OH 43210 USA

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2020年 / 114卷 / 02期

关键词：

Characterization; Moments; Muntz-Szasz theorem; Spacings; Quasi-midrange; Symmetric distribution; TESTS;

D O I：

10.1007/s13398-020-00820-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Several characterizations of symmetry of a probability distribution are provided. These include the equality in distributions of symmetrically chosen upper and lower order statistics, symmetric spacings of order statistics, and quasi-midranges. Characterizations of symmetry based on the moment properties of order statistics, quasi-midranges and spacings are established. Some characterizations in terms of moments of the underlying distribution are also given.

引用

页数：17

共 36 条

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