Testing fuzzy hypotheses based on vague observations: a p-value approach

被引：30
|
作者：
Parchami, Abbas [2 ]
Taheri, S. Mahmoud [1 ]
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
来源：
STATISTICAL PAPERS | 2012年 / 53卷 / 02期
关键词：
Testing hypothesis; Vague data; Fuzzy p-value; Fuzzy significance level; NEYMAN-PEARSON-LEMMA; STATISTICAL HYPOTHESES; RANDOM-VARIABLES; DEFUZZIFICATION;
D O I：
10.1007/s00362-010-0353-2
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 deals with the problem of testing statistical hypotheses when both the hypotheses and data are fuzzy. To this end, we first introduce the concept of fuzzy p-value and then develop an approach for testing fuzzy hypotheses by comparing a fuzzy p-value and a fuzzy significance level. Numerical examples are provided to illustrate the approach for different cases.
引用
收藏
页码：469 / 484
页数：16
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