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Reliability analysis of masked data in adaptive step-stress partially accelerated lifetime tests with progressive removal

Author

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  • Bin Liu
  • Yimin Shi
  • Jing Cai
  • Ruibing Wang

Abstract

By combining the progressive hybrid censoring with the step-stress partially accelerated lifetime test, we propose an adaptive step-stress partially accelerated lifetime test, which allows random changing of the number of step-stress levels according to the pre-fixed censoring number and time points. Thus, the time expenditure and economic cost of the test will be reduced greatly. Based on the Lindley-distributed tampered failure rate (TFR) model with masked system lifetime data, the BFGS method is introduced in the expectation maximization (EM) algorithm to obtain the maximum likelihood estimation (MLE), which overcomes the difficulties of the vague maximization procedure in the M-step. Asymptotic confidence intervals of components' distribution parameters are also investigated according to the missing information principle. As comparison, the Bayesian estimation and the highest probability density (HPD) credible intervals are obtained by using adaptive rejection sampling. Furthermore, the reliability of the system and components are estimated at a specified time under usual and severe operating conditions. Finally, a numerical simulation example is presented to illustrate the performance of our proposed method.

Suggested Citation

  • Bin Liu & Yimin Shi & Jing Cai & Ruibing Wang, 2017. "Reliability analysis of masked data in adaptive step-stress partially accelerated lifetime tests with progressive removal," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(12), pages 6174-6191, June.
  • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:12:p:6174-6191
    DOI: 10.1080/03610926.2015.1122058
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    1. Jing Cai & Yimin Shi & Bin Liu, 2017. "Statistical analysis for masked system life data from Marshall‐Olkin Weibull distribution under progressive hybrid censoring," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(6), pages 490-501, September.

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