Lehmann Type II-Lomax Distribution: Properties and Application to Real Data Set

Authors

  • Alhaji Modu Isa

    Borno State University, Maiduguri, Nigeria
    Author
  • Aishatu Kaigama

    Borno State University, Maiduguri, Nigeria
    Author
  • Akeem Ajibola Adepoju

    Kano State University of Science and Technology, Wudil, Nigeria
    Author
  • Sule Omeiza Bashiru

    Prince Abubakar Audu University, Anyigba, Kogi State, Nigeria
    Author

Keywords:

Lehmann Type II, Lomax, compound distribution, moment, entropy

Abstract

Authors: Alhaji Modu Isa, Aishatu Kaigama, Akeem Ajibola Adepoju and Sule Omeiza Bashiru

In this paper, we proposed a new compound probability distribution known as the Lehmann Type II-Lomax (LTL) distribution generated from the Lehmann Type II Family of distribution and derived some of its mathematical properties such as entropy, moments, moment-generating functions, and order statistics. Parameters of the new distribution were estimated using a maximum likelihood estimator. One dataset was used to illustrate the usefulness of the model. The newly developed model outperformed its competitors.

Author Biographies

  • Alhaji Modu Isa, Borno State University, Maiduguri, Nigeria

    Department of Mathematics and Computer Science

  • Aishatu Kaigama, Borno State University, Maiduguri, Nigeria

    Department of Mathematics and Computer Science

  • Akeem Ajibola Adepoju, Kano State University of Science and Technology, Wudil, Nigeria

    Department of Statistics

  • Sule Omeiza Bashiru, Prince Abubakar Audu University, Anyigba, Kogi State, Nigeria

    Department of Mathematical Sciences

Downloads

Published

2023-03-29

Similar Articles

11-20 of 142

You may also start an advanced similarity search for this article.