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Confidence regions in step–stress experiments with multiple samples under repeated type-II censoring

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  • Bedbur, S.
  • Kamps, U.

Abstract

In a multi-sample general step–stress model with pre-specified numbers of observations under all stress levels, confidence regions for associated parameters are provided with minimum volume, minimum coverage probabilities of false parameters, or based on divergence measures.

Suggested Citation

  • Bedbur, S. & Kamps, U., 2019. "Confidence regions in step–stress experiments with multiple samples under repeated type-II censoring," Statistics & Probability Letters, Elsevier, vol. 146(C), pages 181-186.
    • Handle: RePEc:eee:stapro:v:146:y:2019:i:c:p:181-186
    DOI: 10.1016/j.spl.2018.11.020
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    References listed on IDEAS

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    1. Ronghua Wang & Heliang Fei, 2004. "Conditions for the coincidence of the TFR, TRV and CE models," Statistical Papers, Springer, vol. 45(3), pages 393-412, July.
    2. David Han & H.K.T. Ng, 2013. "Comparison between constant‐stress and step‐stress accelerated life tests under Time Constraint," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(7), pages 541-556, October.
    3. Vuong, Q.N. & Bedbur, S. & Kamps, U., 2013. "Distances between models of generalized order statistics," Journal of Multivariate Analysis, Elsevier, vol. 118(C), pages 24-36.
    4. Jeyaratnam, S., 1985. "Minimum volume confidence regions," Statistics & Probability Letters, Elsevier, vol. 3(6), pages 307-308, October.
    5. N. Balakrishnan & U. Kamps & M. Kateri, 2012. "A sequential order statistics approach to step-stress testing," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 64(2), pages 303-318, April.
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    Cited by:

    1. Lu, Yaohui & Zheng, Heyan & Zeng, Jing & Chen, Tianli & Wu, Pingbo, 2019. "Fatigue life reliability evaluation in a high-speed train bogie frame using accelerated life and numerical test," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 221-232.
    2. Stefan Bedbur & Thomas Seiche, 2022. "Testing the Validity of a Link Function Assumption in Repeated Type-II Censored General Step-Stress Experiments," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(1), pages 106-129, May.

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