统计假设检验的模糊集描述  

Statistical hypothesis testing characterized by fuzzy set

作　　者：章秋香 魏立力 ZHANG Qiuxiang;WEI Lili(School of Mathematics and Statistics,Ningxia University,Yinchuan,Ningxia,750021)

机构地区：[1]宁夏大学数学统计学院,宁夏银川750021

出　　处：《宁夏师范学院学报》2024年第1期18-26,共9页Journal of Ningxia Normal University

基　　金：宁夏自然基金项目(2021AAC03039).

摘　　要：基于p值函数给出了零假设显著性检验的模糊集描述,为模糊集理论提供实际背景的同时,给p值一个新的解释.其中样本数据对零假设的支持程度用一个模糊集的隶属度函数表示,检验的拒绝域表示为该模糊集的截集,截集的水平表示显著性水平.具体例子表明此方法的可行性和有效性.A fuzzy set description of the null hypothesis significance test based on p-value function is given,which provides a practical background for fuzzy set theory and a new explanation of p-value is given.The support degree of the sample data to the null hypothesis is expressed by the membership function of a fuzzy set,the rejection region of the test is expressed as the cut-set of the fuzzy set,and the level of the cut-set is expressed as the significance level.Concrete examples show the feasibility and effectiveness of our method.

关 键 词：假设检验 p值函数 模糊集 

分 类 号：O212.1[理学—概率论与数理统计]