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Estimation in Residual lifetime Lindley distribution with Type II censored data

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Listed:
  • Neha Goel

    (Ch. Charan Singh University)

  • Hare Krishna

    (Ch. Charan Singh University)

Abstract

In the present paper, we consider the residual lifetime Type-II censored Lindley distribution model with unknown parameter θ. Maximum likelihood estimation with asymptotic confidence intervals are used to estimate the parameter and the reliability characteristics. Bootstrap-p and t confidence intervals are also developed. Bayes estimates using generalized entropy loss function (GELF) with highest posterior density (HPD) credible intervals are obtained for the parameter and the reliability characteristics. Here, the posterior distribution is not in an explicit form therefore, we use Metropolis–Hastings algorithm to estimate the posterior distribution. To perform the analysis of the estimation procedures, a Markov Chain Monte Carlo simulation study is performed. For giving illustration to our work, a real data example is also studied.

Suggested Citation

  • Neha Goel & Hare Krishna, 2022. "Estimation in Residual lifetime Lindley distribution with Type II censored data," 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. 13(1), pages 363-374, February.
    • Handle: RePEc:spr:ijsaem:v:13:y:2022:i:1:d:10.1007_s13198-021-01274-w
    DOI: 10.1007/s13198-021-01274-w
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    References listed on IDEAS

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    1. M. E. Ghitany & D. K. Al-Mutairi, 2008. "Size-biased Poisson-Lindley distribution and its application," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 299-311.
    2. Krishna, Hare & Kumar, Kapil, 2011. "Reliability estimation in Lindley distribution with progressively type II right censored sample," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(2), pages 281-294.
    3. Ghitany, M.E. & Al-Mutairi, D.K. & Nadarajah, S., 2008. "Zero-truncated Poisson–Lindley distribution and its application," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 279-287.
    4. Ghitany, M.E. & Atieh, B. & Nadarajah, S., 2008. "Lindley distribution and its application," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 78(4), pages 493-506.
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