A bootstrap test for symmetry based on quantiles

被引：4

作者：

Zardasht, Vali ^{[1
]}

机构：

[1] Univ Mohaghegh Ardabili, Fac Math Sci, Dept Stat, Ardebil, Iran

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2018年 / 47卷 / 04期

关键词：

Symmetry; Quantile; Test Power; Bootstrap; Simulation; SKEWNESS;

D O I：

10.15672/HJMS.2016.386

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we construct a nonparametric test for the symmetry assumption of an underling distribution based on the sample quantiles. Bootstrap re-sampling from a symmetric empirical distribution function is used to obtain the p-value of the test. The power of the new test statistic is compared with some well-known symmetry tests using a simulation study. The results show that the proposed test preserves its level and it has reasonable power properties on the family of distribution evaluated.

引用

页码：1061 / 1069

页数：9

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