A generalization of the Wilcoxon signed-rank test and its applications

被引：135

作者：

Taheri, S. M. ^{[1
,2
]}

Hesamian, G. ^{[1
]}

机构：

[1] Isfahan Univ Technol, Dept Math Sci, Esfahan 8415683111, Iran

[2] Ferdowsi Univ Mashhad, Sch Math Sci, Dept Stat, Mashhad 9177948974, Iran

来源：

STATISTICAL PAPERS | 2013年 / 54卷 / 02期

关键词：

Fuzzy observation; Fuzzy test statistic; Fuzzy critical value; Preference degree; Fuzzy significance level; FUZZY RANDOM-VARIABLES; VAGUE DATA; P-VALUE; HYPOTHESES; NUMBERS;

D O I：

10.1007/s00362-012-0443-4

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

This paper extends the Wilcoxon signed-rank test to the case where the available observations are imprecise quantities, rather than crisp. To do this, the associated test statistic is extended, using the alpha-cuts approach. In addition, the concept of critical value is generalized to the case when the significance level is given by a fuzzy number. Finally, to accept or reject the null hypothesis of interest, a preference degree between two fuzzy sets is employed for comparing the observed fuzzy test statistic and fuzzy critical value.

引用

页码：457 / 470

页数：14

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