RESEARCH PAPER
Reliability Assessment Method Based on Small Sample Accelerated Life Test Data
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School of Mechanical Engineering, Hubei University of Technology, China
Submission date: 2024-04-19
Final revision date: 2024-06-25
Acceptance date: 2024-08-08
Online publication date: 2024-08-11
Publication date: 2024-08-11
Corresponding author
Hang LIU
School of Mechanical Engineering, Hubei University of Technology, China
HIGHLIGHTS
- A method based on virtual augmentation augmentation fusion is proposed to expand the experimental data of small samples.
- The prior distribution is obtained by improving the empirical distribution function and combining bootstrap and kernel density estimation method.
- The posterior distribution was solved by Gibbs sampling combined with Bayes method and the reliability was evaluated.
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ABSTRACT
Aiming at the problems of small sample size, few test failure data and low reliability evaluation efficiency in accelerated life test of high-reliability and long-life products, an improved virtual augmentation Bootstrap-Bayes reliability evaluation method based on small sample accelerated life test data was proposed. Firstly, the test data under various stress conditions are augmented by virtual fusion. Secondly, the empirical distribution function and bootstrap sampling method are improved, and the kernel density estimation method is used to fit the density distribution of test data as prior information. Then, the parameter estimates of the test data are obtained by Gibbs sampling combined with Bayes formula. Finally, the reliability index under normal stress level is obtained by accelerating model extrapolation. The feasibility of the proposed method is verified by the accelerated life test data of a type of Ship communication equipment.