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Optimum simple accelerated life tests based on progressively Type-I hybrid censoring

Author

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  • Chunfang Zhang

    (Northwestern Polytechnical University)

  • Yimin Shi

    (Northwestern Polytechnical University)

Abstract

This paper presents the process of the optimum test design for simple constant-stress and step-stress accelerated life tests under the progressively Type-I hybrid censoring data. Considering the constant-stress and step-stress accelerated models, the explicit conditional density functions of order statistics under progressively Type-I hybrid censoring scheme are given to obtain the expected Fisher information matrix. By minimizing the asymptotic variance of the mean life under the use stress, the optimum test design is completed by determining the test units allocated to each stress in constant-stress accelerated life test and the changing time to severer accelerated stress in step-stress accelerated life test. Finally, an example is shown to illustrate the optimum test design. The numerical results show that the step-stress accelerated life test is a better choice.

Suggested Citation

  • Chunfang Zhang & Yimin Shi, 2017. "Optimum simple accelerated life tests based on progressively Type-I hybrid censoring," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(2), pages 849-856, November.
    • Handle: RePEc:spr:ijsaem:v:8:y:2017:i:2:d:10.1007_s13198-016-0532-1
    DOI: 10.1007/s13198-016-0532-1
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    References listed on IDEAS

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    1. Bing Wang & Keming Yu, 2009. "Optimum plan for step-stress model with progressive type-II censoring," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 18(1), pages 115-135, May.
    2. Ling, Li & Xu, Wei & Li, Minghai, 2009. "Parametric inference for progressive Type-I hybrid censored data on a simple step-stress accelerated life test model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(10), pages 3110-3121.
    3. Balakrishnan, N. & Childs, A. & Chandrasekar, B., 2002. "An efficient computational method for moments of order statistics under progressive censoring," Statistics & Probability Letters, Elsevier, vol. 60(4), pages 359-365, December.
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    Cited by:

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