Fuzzy p-value in testing fuzzy hypotheses with crisp data

被引：45

作者：

Parchami, Abbas ^{[2
]}

Taheri, S. Mahmoud ^{[1
,3
]}

Mashinchi, Mashaallah ^{[2
]}

机构：

[1] IUT, Dept Math Sci, Esfahan 8415683111, Iran

[2] Shahid Bahonar Univ Kerman, Dept Stat, Fac Math & Comp Sci, Kerman, Iran

[3] SRTC, Tehran, Iran

来源：

STATISTICAL PAPERS | 2010年 / 51卷 / 01期

基金：

美国国家科学基金会;

关键词：

Testing hypotheses; Monotone likelihood ratio; Fuzzy hypothesis; Fuzzy p-value; Fuzzy significance level; STATISTICAL HYPOTHESES;

D O I：

10.1007/s00362-008-0133-4

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：

In testing statistical hypotheses, as in other statistical problems, we may be confronted with fuzzy concepts. This paper deals with the problem of testing hypotheses, when the hypotheses are fuzzy and the data are crisp. We first introduce the notion of fuzzy p-value, by applying the extension principle and then present an approach for testing fuzzy hypotheses by comparing a fuzzy p-value and a fuzzy significance level, based on a comparison of two fuzzy sets. Numerical examples are also provided to illustrate the approach.

引用

页码：209 / 226

页数：18

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