Journal of Guangxi Normal University(Natural Science Edition) ›› 2025, Vol. 43 ›› Issue (4): 129-139.doi: 10.16088/j.issn.1001-6600.2024061502

• Mathematics and Statistics • Previous Articles     Next Articles

Statistical Analysis of Partially Accelerated Life Tests under Dependent Competing Risks

ZHAO Yujie, YE Jimin*   

  1. School of Mathematics and Statistics, Xidian University, Xi’an Shaanxi 710126, China
  • Received:2024-06-15 Revised:2024-08-27 Online:2025-07-05 Published:2025-07-14

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Abstract: In the step stress partially accelerated life test (SSPALT) with Type-I progressive hybrid censoring (Type-I PHC) scheme, the statistical inference of a dependent two component system with masked data are studied. When the component life follows exponential distribution, the tampered random variable (TRV) model and copula function are used to construct the dependent competing risks model. Based on the maximum likelihood theory, the maximum likelihood of unknown parameters is established, and the corresponding confidence interval estimation of the parameters is provided through asymptotic likelihood theory and bootstrap method. Finally, the feasibility of the proposed estimation method is verified by Monte-Carlo method. The results show that the method is feasible and effective for reliability analysis of dependent masked data systems.

Key words: accelerated life tests, competing risks model, copula function, masked data, tampered random variable model

CLC Number:  O213.2
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[1] ZHU Yan, CAI Jing, LONG Fang. Statistical Analysis of Partially Step Stress Accelerated Life Tests for Compound Rayleigh Distribution Competing Failure Model Under Progressive Type-Ι Hybrid Censoring [J]. Journal of Guangxi Normal University(Natural Science Edition), 2024, 42(3): 159-169.
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