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Parameter estimation of Lindley step stress model with independent competing risk under type 1 censoring

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  • Sharon Varghese A
  • V. S. Vaidyanathan

Abstract

In literature, Lindley distribution is considered as an alternative to exponential distribution to fit lifetime data. In the present work, a Lindley step-stress model with independent causes of failure is proposed. An algorithm to generate random samples from the proposed model under type 1 censoring scheme is developed. Point and interval estimation of the model parameters is carried out using maximum likelihood method and percentile bootstrap approach. To understand the effectiveness of the resulting estimates, numerical illustration is provided based on simulated and real-life data sets.

Suggested Citation

  • Sharon Varghese A & V. S. Vaidyanathan, 2020. "Parameter estimation of Lindley step stress model with independent competing risk under type 1 censoring," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(12), pages 3026-3043, June.
    • Handle: RePEc:taf:lstaxx:v:49:y:2020:i:12:p:3026-3043
    DOI: 10.1080/03610926.2019.1584317
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    Cited by:

    1. Ke Wu & Liang Wang & Li Yan & Yuhlong Lio, 2021. "Statistical Inference of Left Truncated and Right Censored Data from Marshall–Olkin Bivariate Rayleigh Distribution," Mathematics, MDPI, vol. 9(21), pages 1-24, October.
    2. Zhiyuan Zuo & Liang Wang & Yuhlong Lio, 2022. "Reliability Estimation for Dependent Left-Truncated and Right-Censored Competing Risks Data with Illustrations," Energies, MDPI, vol. 16(1), pages 1-25, December.

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