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Beta transmuted Lomax distribution with applications

Author

Listed:
  • Hurairah Ahmed

    (Department of Statistics, Sana’a University, Sana’a, Yemen .)

  • Alabid Abdelhakim

    (Department of Statistics, Sana’a University, Sana’a, Yemen .)

Abstract

In this paper we propose and test a composite generalizer of the Lomax distribution .The genesis of the beta distribution and transmuted map is used to develop the so-called beta transmuted Lomax (BTL) distribution. The properties of the distribution are discussed and explicit expressions are derived for the moments, mean deviations, quantiles, distribution of order statistics and reliability. The maximum likelihood method is used for estimating the model parameters, and the finite sample performance of the estimators is assessed by simulation. Finally, the authors demonstrate the usefulness of the new distribution in analysing positive data.

Suggested Citation

  • Hurairah Ahmed & Alabid Abdelhakim, 2020. "Beta transmuted Lomax distribution with applications," Statistics in Transition New Series, Statistics Poland, vol. 21(2), pages 13-34, June.
    • Handle: RePEc:vrs:stintr:v:21:y:2020:i:2:p:13-34:n:9
    DOI: 10.21307/stattrans-2020-012
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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. Punathumparambath Bindu & Kulathinal Sangita, 2015. "Double Lomax Distribution and its Applications," Statistica, Department of Statistics, University of Bologna, vol. 75(3), pages 331-342.
    3. Howlader, Hatem A. & Hossain, Anwar M., 2002. "Bayesian survival estimation of Pareto distribution of the second kind based on failure-censored data," Computational Statistics & Data Analysis, Elsevier, vol. 38(3), pages 301-314, January.
    4. 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.
    5. 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.
    6. M. Ahsanullah, 1991. "Record values of the Lomax distribution," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 45(1), pages 21-29, March.
    7. Aaron Childs & N. Balakrishnan & Mohamed Moshref, 2001. "Order statistics from non-identical right-truncated Lomax random variables with applications," Statistical Papers, Springer, vol. 42(2), pages 187-206, April.
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