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On Hybrid Censored Inverse Lomax Distribution: Application to the Survival Data

Author

Listed:
  • Abhimanyu Singh Yadav

    (Mizoram University, Aizawl - India)

  • Sanjay Kumar Singh

    (Banaras Hindu University, Varanasi - India)

  • Umesh Singh

    (Banaras Hindu University, Varanasi - India)

Abstract

In this paper, we proposed the estimation procedures to estimate the unknown parameters, reliability and hazard functions of Inverse Lomax distribution. The mathematical expressions for maximum likelihood and Bayes estimators are derived in presence of hybrid censoring scheme. In most of the cases, it has been seen that maximum likelihood and Bayes estimators of the parameters are not appear in explicit form. Hence, Newton-Raphson (N-R) method has been used to draw the maximum likelihood estimates of the parameters. The Bayes estimators are obtained under Jeffrey's non-informative prior for both shape and scale using Markov Chain Monte Carlo (MCMC) technique. Further, we have also constructed the 95% asymptotic confidence interval based on maximum likelihood estimates (MLEs) and highest posterior density (HPD) credible intervals based on MCMC samples. Finally, two data sets have been used to demonstrate the proposed methodology.

Suggested Citation

  • Abhimanyu Singh Yadav & Sanjay Kumar Singh & Umesh Singh, 2016. "On Hybrid Censored Inverse Lomax Distribution: Application to the Survival Data," Statistica, Department of Statistics, University of Bologna, vol. 76(2), pages 185-203.
    • Handle: RePEc:bot:rivsta:v:76:y:2016:i:2:p:185-203
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    Citations

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    Cited by:

    1. Amal S. Hassan & Ibrahim M. Almanjahie & Amer Ibrahim Al-Omari & Loai Alzoubi & Heba Fathy Nagy, 2023. "Stress–Strength Modeling Using Median-Ranked Set Sampling: Estimation, Simulation, and Application," Mathematics, MDPI, vol. 11(2), pages 1-19, January.
    2. Abhimanyu Singh Yadav & Shivanshi Shukla & Amrita Kumari, 2022. "Statistical Inference for Truncated Inverse Lomax Distribution and its Application to Survival Data," Annals of Data Science, Springer, vol. 9(4), pages 829-845, August.
    3. Abhimanyu Singh Yadav & S. K. Singh & Umesh Singh, 2019. "Bayesian estimation of $$R=P[Y," 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. 10(5), pages 905-917, October.
    4. Abhimanyu Singh Yadav & Emrah Altun & Haitham M. Yousof, 2021. "Burr–Hatke Exponential Distribution: A Decreasing Failure Rate Model, Statistical Inference and Applications," Annals of Data Science, Springer, vol. 8(2), pages 241-260, June.

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