统计假设检验的模糊集描述
Statistical hypothesis testing characterized by fuzzy set
章秋香 1魏立力1
作者信息
- 1. 宁夏大学数学统计学院,宁夏银川 750021
- 折叠
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.
Abstract
A fuzzy set description of the null hypothesis significance test based on p-value function is given,which pro-vides 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 ex-pressed 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Key words
Hypothesis testing/p-value function/Fuzzy set引用本文复制引用
基金项目
宁夏回族自治区自然科学基金(2021AAC03039)
出版年
2024
NETL
NSTL
维普
万方数据