IDEAS home Printed from https://ideas.repec.org/a/ids/ijmore/v24y2023i4p554-582.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=130166
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ids:ijmore:v:24:y:2023:i:4:p:554-582. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sarah Parker (email available below). General contact details of provider: http://www.inderscience.com/browse/index.php?journalID=320 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.