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Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications

Author

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  • Ramadan A. ZeinEldin
  • Muhammad Ahsan ul Haq
  • Sharqa Hashmi
  • Mahmoud Elsehety

Abstract

In this paper, a new three-parameter lifetime distribution, alpha power transformed inverse Lomax (APTIL) distribution, is proposed. The APTIL distribution is more flexible than inverse Lomax distribution. We derived some mathematical properties including moments, moment generating function, quantile function, mode, stress strength reliability, and order statistics. Characterization related to hazard rate function is also derived. The model parameters are estimated using eight estimation methods including maximum likelihood, least squares, weighted least squares, percentile, Cramer–von Mises, maximum product of spacing, Anderson–Darling, and right-tail Anderson–Darling. Numerical results are calculated to compare the performance of these estimation methods. Finally, we used three real-life datasets to show the flexibility of the APTIL distribution.

Suggested Citation

  • Ramadan A. ZeinEldin & Muhammad Ahsan ul Haq & Sharqa Hashmi & Mahmoud Elsehety, 2020. "Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications," Complexity, Hindawi, vol. 2020, pages 1-15, February.
    • Handle: RePEc:hin:complx:1860813
    DOI: 10.1155/2020/1860813
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    Cited by:

    1. Hadeel S Klakattawi, 2022. "Survival analysis of cancer patients using a new extended Weibull distribution," PLOS ONE, Public Library of Science, vol. 17(2), pages 1-20, February.

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