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Inference for constant-stress Weibull competing risks model under generalized progressive hybrid censoring

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  • Wang, Liang
  • Tripathi, Yogesh Mani
  • Lodhi, Chandrakant
  • Zuo, Xuanjia

Abstract

In this paper, accelerated life test is considered when the latent failure times follow Weibull competing risks models. When both scale and shape parameters are nonconstant and affected by operating stress, inference is discussed for a constant-stress model under a generalized progressive hybrid censoring. Maximum likelihood estimates together with existence and uniqueness are established, and the approximate confidence intervals for unknown parameters are proposed based on the asymptotic theory. Further, when the distributions of failure causes have common shape or scale parameters, associated point and interval estimates are also proposed. In addition, to compare the equivalence of the parameters of different Weibull competing risks, likelihood ratio tests for interested hypotheses are presented for complementary. Finally, extensive numerical studies and a real-life example are provided for illustrations.

Suggested Citation

  • Wang, Liang & Tripathi, Yogesh Mani & Lodhi, Chandrakant & Zuo, Xuanjia, 2022. "Inference for constant-stress Weibull competing risks model under generalized progressive hybrid censoring," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 192(C), pages 70-83.
    • Handle: RePEc:eee:matcom:v:192:y:2022:i:c:p:70-83
    DOI: 10.1016/j.matcom.2021.08.017
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    References listed on IDEAS

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    1. L.C. Tang & T.N. Goh & Y.S. Sun & H.L. Ong, 1999. "Planning accelerated life tests for censored two‐parameter exponential distributions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(2), pages 169-186, March.
    2. Rastogi, Manoj Kumar & Tripathi, Yogesh Mani, 2013. "Estimation using hybrid censored data from a two-parameter distribution with bathtub shape," Computational Statistics & Data Analysis, Elsevier, vol. 67(C), pages 268-281.
    3. Balakrishnan, N. & Kateri, M., 2008. "On the maximum likelihood estimation of parameters of Weibull distribution based on complete and censored data," Statistics & Probability Letters, Elsevier, vol. 78(17), pages 2971-2975, December.
    4. Julian Górny & Erhard Cramer, 2018. "Modularization of hybrid censoring schemes and its application to unified progressive hybrid censoring," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 81(2), pages 173-210, February.
    5. Arnab Koley & Debasis Kundu, 2017. "On generalized progressive hybrid censoring in presence of competing risks," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 80(4), pages 401-426, May.
    6. Balakrishnan, N. & Kundu, Debasis, 2013. "Hybrid censoring: Models, inferential results and applications," Computational Statistics & Data Analysis, Elsevier, vol. 57(1), pages 166-209.
    7. Seo, J.H. & Jung, M. & Kim, C.M., 2009. "Design of accelerated life test sampling plans with a nonconstant shape parameter," European Journal of Operational Research, Elsevier, vol. 197(2), pages 659-666, September.
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    Cited by:

    1. Kundan Singh & Amulya Kumar Mahto & Yogesh Mani Tripathi, 2024. "On partially observed competing risks model for Chen distribution under generalized progressive hybrid censoring," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 78(1), pages 105-135, February.

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