Classes of Ordinary Differential Equations for the Alpha Power Lomax Distribution

Authors

  • Ibrahim Mahariq GUST Engineering and Applied Innovation Research Center (GEAR), Gulf University for Science and Technology, Mishref, Kuwait https://orcid.org/0000-0002-7222-3014 (unauthenticated)
  • Noor Saeed Department of Statistics, University of Peshawar, Peshawar, Pakistan
  • Alamgir Khalil Department of Statistics, University of Peshawar, Peshawar, Pakistan
  • Muhammad Ijaz Department of Mathematics and Statistics, University of Haripur, Haripur, Pakistan

DOI:

https://doi.org/10.37256/cm.5320242844

Keywords:

Alpha power transformation, calculus, Lomax distribution, ordinary differential equations

Abstract

This paper focuses on the ordinary differential equations (ODEs) of the alpha-power Lomax distribution. The ODEs are derived from the alpha-power Lomax (APL) distribution for the density, quantile, survival and hazard functions. These ODEs helps to study the shape of various functions that describe the probability distribution. Under necessary conditions of the parameters, the existence of the ODEs is possible and obtained.

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Published

2024-08-22

Issue

Contemporary Mathematics, Volume 5 Issue 3 (2024), 2593-4131

Section

Research Article

License

Copyright (c) 2024 Muhammad Ijaz, et al.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

1.
Classes of Ordinary Differential Equations for the Alpha Power Lomax Distribution. Contemp. Math. [Internet]. 2024 Aug. 22 [cited 2025 Dec. 24];5(3):3426-33. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/2844