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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, Polish Statistical Association, 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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    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.
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    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.
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