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The Topp-Leone-Harris-G family of distributions with applications

Author

Listed:
  • Broderick Oluyede
  • Neo Dingalo
  • Fastel Chipepa

Abstract

In this paper, we present the Topp-Leone-Harris-G (TL-Harris-G) family of distributions. Some special cases, such as Topp-Leone-Harris-log-logistic (TL-Harris-LLoG), Topp-Leone-Harris-uniform (TL-Harris-U) and Topp-Leone-Harris-Weibull (TL-Harris-W) distributions are given. We examine some structural properties, such as moments, generating function, distribution of order statistics, entropy, and probability weighted moments (PWMs) of the new family of distributions. The maximum likelihood estimation method is used to estimate model parameters. To illustrate the consistency and efficiency of parameter estimations process, simulations are run, and real-world data sets are used to demonstrate the applicability of the proposed model. The proposed model proves to be a better alternative to some well known models.

Suggested Citation

  • Broderick Oluyede & Neo Dingalo & Fastel Chipepa, 2023. "The Topp-Leone-Harris-G family of distributions with applications," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 24(4), pages 554-582.
    • Handle: RePEc:ids:ijmore:v:24:y:2023:i:4:p:554-582
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    Citations

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    Cited by:

    1. Maria T. Vasileva, 2023. "On Topp-Leone-G Power Series: Saturation in the Hausdorff Sense and Applications," Mathematics, MDPI, vol. 11(22), pages 1-11, November.
    2. Gayan Warahena-Liyanage & Broderick Oluyede & Thatayaone Moakofi & Whatmore Sengweni, 2023. "The New Exponentiated Half Logistic-Harris-G Family of Distributions with Actuarial Measures and Applications," Stats, MDPI, vol. 6(3), pages 1-29, July.

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