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On the characterisation of X-Lindley distribution by truncated moments. Properties and application

Author

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  • Farouk Metiri
  • Halim Zeghdoudi
  • Abdelali Ezzebsa

Abstract

This paper presents the characterisation of X-Lindley distribution using the relation between truncated moment and failure rate/reverse failure rate function. An application of this distribution to real data of survival times (in days) of 92 Algerian individuals infected with coronavirus is given.

Suggested Citation

  • Farouk Metiri & Halim Zeghdoudi & Abdelali Ezzebsa, 2022. "On the characterisation of X-Lindley distribution by truncated moments. Properties and application," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 32(1), pages 97-109.
    • Handle: RePEc:wut:journl:v:32:y:2022:i:1:p:97-109:id:2627
    DOI: 10.37190/ord220105
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    References listed on IDEAS

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    1. Ahmadi, Jafar & Doostparast, Mahdi & Parsian, Ahmad, 2012. "Estimation with left-truncated and right censored data: A comparison study," Statistics & Probability Letters, Elsevier, vol. 82(7), pages 1391-1400.
    2. M. Ahsanullah & M. E. Ghitany & D. K. Al-Mutairi, 2017. "Characterization of Lindley distribution by truncated moments," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(12), pages 6222-6227, June.
    3. Nanda, Asok K., 2010. "Characterization of distributions through failure rate and mean residual life functions," Statistics & Probability Letters, Elsevier, vol. 80(9-10), pages 752-755, May.
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    Cited by:

    1. Haseeb Athar & Mohammad Ahsanullah & Mohd. Almech Ali, 2023. "Characterisation of some generalised continuous distributions by doubly truncated moments," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 33(1), pages 1-19.
    2. Mohamed Kayid & Mansour Shrahili, 2023. "Characterization Results on Lifetime Distributions by Scaled Reliability Measures Using Completeness Property in Functional Analysis," Mathematics, MDPI, vol. 11(6), pages 1-15, March.
    3. Jan Kohout, 2023. "Four-Parameter Weibull Distribution with Lower and Upper Limits Applicable in Reliability Studies and Materials Testing," Mathematics, MDPI, vol. 11(3), pages 1-23, January.

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