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Statistical Inference for Truncated Inverse Lomax Distribution and its Application to Survival Data

Author

Listed:
  • Abhimanyu Singh Yadav

    (Central University of Rajasthan)

  • Shivanshi Shukla

    (Central University of Rajasthan)

  • Amrita Kumari

    (Central University of Rajasthan)

Abstract

In this article, truncated version of the inverse Lomax distribution has been introduced. Different statistical properties such as survival, hazard rate, reverse hazard rate, cumulative hazard rate, quantile function of the new distribution have been derived. Order statistics is also discussed. Secondly, various classical estimation procedures are used to estimate the unknown parameter of the model with the effect of truncation. Monte Carlo simulation study has been conducted for different variation of the model parameters to compare the performances of the estimators obtained by different methods of estimation. Finally, a cancer data set is used to illustrate the practical applicability of the proposed model.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:aodasc:v:9:y:2022:i:4:d:10.1007_s40745-019-00235-2
    DOI: 10.1007/s40745-019-00235-2
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    References listed on IDEAS

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    1. Kundu, Debasis & Raqab, Mohammad Z., 2005. "Generalized Rayleigh distribution: different methods of estimations," Computational Statistics & Data Analysis, Elsevier, vol. 49(1), pages 187-200, April.
    2. Mandel, Micha, 2007. "Censoring and TruncationHighlighting the Differences," The American Statistician, American Statistical Association, vol. 61, pages 321-324, November.
    3. Aban, Inmaculada B. & Meerschaert, Mark M. & Panorska, Anna K., 2006. "Parameter Estimation for the Truncated Pareto Distribution," Journal of the American Statistical Association, American Statistical Association, vol. 101, pages 270-277, March.
    4. Zhang, Tieling & Xie, Min, 2011. "On the upper truncated Weibull distribution and its reliability implications," Reliability Engineering and System Safety, Elsevier, vol. 96(1), pages 194-200.
    5. 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.
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