IDEAS home Printed from https://ideas.repec.org/a/spr/aodasc/v12y2025i5d10.1007_s40745-024-00569-6.html
   My bibliography  Save this article

The Modified Lindley Distribution Through Convex Combination with Applications in Engineering

Author

Listed:
  • Afaq Ahmad

    (Islamic University of Science and Technology)

  • A. A. Bhat

    (Islamic University of Science and Technology)

  • S. P. Ahmad

    (University of Kashmi)

  • Raheela Jan

    (University of Kashmi)

Abstract

This paper introduces a Modified Lindley distribution using a convex combination of exponential and gamma distribution. The fundamental properties of the proposed distribution such as the shapes of the distribution, moments, mean, variance, reliability, hazard rate, moment generating function, stochastic ordering and the distribution of order statistics have been derived. The proposed distribution is observed to be a heavy-tailed distribution and can also be used to model data with upside-down bathtub shape for its hazard rate function. The maximum likelihood estimators of the unknown parameters of the proposed distribution have been obtained. Two numerical examples are given to demonstrate the applicability of the proposed distribution and for the two real data sets, the proposed distribution is found to be superior in its ability to sufficiently model heavy-tailed data than many other models.

Suggested Citation

  • Afaq Ahmad & A. A. Bhat & S. P. Ahmad & Raheela Jan, 2025. "The Modified Lindley Distribution Through Convex Combination with Applications in Engineering," Annals of Data Science, Springer, vol. 12(5), pages 1463-1478, October.
    • Handle: RePEc:spr:aodasc:v:12:y:2025:i:5:d:10.1007_s40745-024-00569-6
    DOI: 10.1007/s40745-024-00569-6
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s40745-024-00569-6
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s40745-024-00569-6?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:spr:aodasc:v:12:y:2025:i:5:d:10.1007_s40745-024-00569-6. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.