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Statistical Inference for a Simple Step Stress Model with Competing Risks Based on Generalized Type-I Hybrid Censoring

Author

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  • Mao Song

    (School of Economics and Management, Shanxi University, Taiyuan030006, China)

  • Liu Bin

    (School of Applied Science, Taiyuan University of Science and Technology, Taiyuan030024, China)

  • Shi Yimin

    (School of Mathematics and Statistics, Northwestern Polytechnical University, Xi’an710072, China)

Abstract

This paper investigates a simple step-stress accelerated lifetime test (SSALT) model for the inferential analysis of exponential competing risks data. A generalized type-I hybrid censoring scheme is employed to improve the efficiency and controllability of the test. Firstly, the MLEs for parameters are established based on the cumulative exposure model (CEM). Then the conditional moment generating function (MGF) for unknown parameters is set up using conditional expectation and multiple integral techniques. Thirdly, confidence intervals (CIs) are constructed by the exact MGF-based method, the approximate normality-based method, and the bias-corrected and accelerated (BCa) percentile bootstrap method. Finally, we present simulation studies and an illustrative example to compare the performances of different methods.

Suggested Citation

  • Mao Song & Liu Bin & Shi Yimin, 2021. "Statistical Inference for a Simple Step Stress Model with Competing Risks Based on Generalized Type-I Hybrid Censoring," Journal of Systems Science and Information, De Gruyter, vol. 9(5), pages 533-548, October.
    • Handle: RePEc:bpj:jossai:v:9:y:2021:i:5:p:533-548:n:5
    DOI: 10.21078/JSSI-2021-533-16
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    References listed on IDEAS

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    4. Christian Kohl & Maria Kateri, 2019. "Bayesian analysis for step‐stress accelerated life testing under progressive interval censoring," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 35(2), pages 234-246, March.
    5. Ritwik Bhattacharya & Baidya Nath Saha & Graceila González Farías & Narayanaswamy Balakrishnan, 2020. "Multi-criteria-based optimal life-testing plans under hybrid censoring scheme," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(2), pages 430-453, June.
    6. Xiaojun Zhu & N. Balakrishnan & Yiliang Zhou, 2020. "Exact Likelihood-Ratio Tests for a Simple Step-Stress Cumulative Exposure Model with Censored Exponential Data," Methodology and Computing in Applied Probability, Springer, vol. 22(2), pages 497-509, June.
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