Classes of Ordinary Differential Equations for the Alpha Power Lomax Distribution

Ibrahim Mahariq; Noor  Saeed; Alamgir  Khalil; Muhammad  Ijaz

doi:10.37256/cm.5320242844

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
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

How to Cite

Mahariq I, Saeed N, Khalil A, Ijaz M. Classes of Ordinary Differential Equations for the Alpha Power Lomax Distribution. Contemp. Math. [Internet]. 2024 Aug. 22 [cited 2024 Oct. 16];5(3):3426-33. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/2844

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Issue

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

Section

Research Article

License

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