Confidence Test Method for Normal Distribution

FU Hui-min; LIANG Zhao-hu

Chinese

您当前的位置：

首页 >

文章列表页 >

Confidence Test Method for Normal Distribution

更新时间：2026-07-07

- Confidence Test Method for Normal Distribution
- Vol. 18, Issue 3, (2003)
- 作者机构：
  
  北京航空航天大学固体力学研究所,北京,100083
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2003
- 稿件说明：
移动端阅览
FU Hui-min, LIANG Zhao-hu. Confidence Test Method for Normal Distribution[J]. 2003, 18(3).
DOI：

FU Hui-min, LIANG Zhao-hu. Confidence Test Method for Normal Distribution[J]. 2003, 18(3). DOI：

摘要

正态母体特征值(母体均值、百分位值、百分率、标准差和变异系数等)的检验是工程中常见的问题。本文根据置信检验理论

建立了正态母体特征值的置信检验方法

包括母体均值、百分位值、百分率、标准差和变异系数的强检验、弱检验和弱强检验

可以满足不同的实际需求。置信检验克服了显著性假设检验在接受原假设时缺乏说服力的弱点

能够以高概率判断正态母体特征值是否满足工程中规定的条件。不但比传统的正态分布假设检验和抽样检验具有更高的精度

而且更加便于应用

许多假设检验和抽样检验难以处理的问题(如母体百分率和百分位值的检验)

采用置信检验可以容易地得到解决。

Abstract

The normal population characteristics

such as the mean

standard deviation

percentile

percentage and coefficient of variation

are often tested in engineering. Based on the theory of confidence tests

the test methods for normal population characteristics are presented in this paper

which include the strong test

the weak test and the weak-strong test. Compared with the hypothesis tests and sampling inspections for normal distribution

the confidence tests can overcome the disadvantage that to accept a null hypothesis may simply mean that it is not rejected by significance hypothesis tests

and greatly improve the test precision. The confidence tests can also bring more convenience in engineering

as that the tests for the percentile and percentage of normal population that are difficult in hypothesis tests can be easily solved by the present method.

关键词

Keywords

references

Views

388

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

The Theory of Confidence Tests

Reliability Assessment and Life Prediction for Satellite Engine

Regression analysis method for interval censored data

Regression Analysis Method for Incomplete Data

Multiple Regression Analysis Method for Weibull Distribution

Related Author

FU Hui-min

LIANG Zhao-hu

WANG Ping-hui

FAN Ben-yao

FU Hui-min

AO Liang

FU Hui-min

WANG Hua-sheng

Related Institution

Beijing University of Aeronautics and Astronautics

Institute of Solid Mechanics, Beijing University of Aeronautics and Astronautics

Chinese Academy of Space Technology

Research Center of Small Sample Technology, Beijing University of Aeronautics and Astronautics

Jiangsu Province Key Laboratory of Aerospace Power System, College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics

AI问答

Postal code：100079
Tel：（010）53879206 Email：tmw@bjxintong.com.cn
Technical support is provided by Beijing Founder electronics co., LTD 京ICP备09082226号-64 京公网安备11010602201714号
It is recommended to read the content of this site in Chrome&IE9+. Please switch to extreme mode in browser 360.
Cookies We use cookies to help provide and enhance our service and tailor content. By continuing, you agree to the use of cookies.

⁰