Hypothesis testing for reliability with a three-parameter Weibull distribution using minimum weighted relative entropy norm and bootstrap

Xin-tao XIA; Yin-ping JIN; Yong-zhi XU; Yan-tao SHANG; Long CHEN

doi:10.1631/jzus.C12a0241

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Hypothesis testing for reliability with a three-parameter Weibull distribution using minimum weighted relative entropy norm and bootstrap

控制工程 | Updated：2022-12-09

- Hypothesis testing for reliability with a three-parameter Weibull distribution using minimum weighted relative entropy norm and bootstrap
- Hypothesis testing for reliability with a three-parameter Weibull distribution using minimum weighted relative entropy norm and bootstrap
- 信息与电子工程前沿（英文） 2013年14卷第2期页码：143-154
- Affiliations：
  
  1.School of Mechatronical Engineering, Henan University of Science and Technology, Luoyang 471003, China
  2.School of Mechatronical Engineering, Northwestern Polytechnical University, Xi'an 710072, China
- Author bio：
  
  [ "XIA Xin-tao, E-mail: xiaxt1957@163.com; xiaxt@mail.haust.edu.cn" ]
- Funds：
  
  Project (Nos. 51075123 and 50675011) supported by the National Natural Science Foundation of China
- DOI：10.1631/jzus.C12a0241
  中图分类号： TB114.3
- 收稿：2012-09-19，
  
  修回：2013-;1-10，
  
  纸质出版：2013-02
- Accepted：
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Hypothesis testing for reliability with a three-parameter Weibull distribution using minimum weighted relative entropy norm and bootstrap[J]. 信息与电子工程前沿（英文）, 2013,14(2):143-154.

Xin-tao XIA, Yin-ping JIN, Yong-zhi XU, et al. Hypothesis testing for reliability with a three-parameter Weibull distribution using minimum weighted relative entropy norm and bootstrap[J]. Frontiers of Information Technology & Electronic Engineering, 2013, 14(2): 143-154.
Hypothesis testing for reliability with a three-parameter Weibull distribution using minimum weighted relative entropy norm and bootstrap[J]. 信息与电子工程前沿（英文）, 2013,14(2):143-154. DOI： 10.1631/jzus.C12a0241.

Xin-tao XIA, Yin-ping JIN, Yong-zhi XU, et al. Hypothesis testing for reliability with a three-parameter Weibull distribution using minimum weighted relative entropy norm and bootstrap[J]. Frontiers of Information Technology & Electronic Engineering, 2013, 14(2): 143-154. DOI： 10.1631/jzus.C12a0241.

摘要

Abstract

With the help of relative entropy theory

norm theory

and bootstrap methodology

a new hypothesis testing method is proposed to verify reliability with a three-parameter Weibull distribution. Based on the relative difference information of the experimental value vector to the theoretical value vector of reliability

six criteria of the minimum weighted relative entropy norm are established to extract the optimal information vector of the Weibull parameters in the reliability experiment of product lifetime. The rejection region used in the hypothesis testing is deduced via the area of intersection set of the estimated truth-value function and its confidence interval function of the three-parameter Weibull distribution. The case studies of simulation lifetime

helicopter component failure

and ceramic material failure indicate that the proposed method is able to reflect the practical situation of the reliability experiment.

关键词

Keywords

references

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