1. A new statistical distribution via the Phi-4 equation with its wide-ranging applications.
- Author
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Alharbi YF, Abd El-Bar AMT, Abdelrahman MAE, and Gemeay AM
- Subjects
- Statistical Distributions, Algorithms, Humans, Probability, Nonlinear Dynamics, Models, Statistical
- Abstract
This paper presents a new framework based on nonlinear partial differential equations and statistics. For the nonlinear Phi-4 equation, the probability density function of the hyperbolic secant (HS) distribution has been obtained. Our model's density has various shapes, including left-skewed, symmetric, and right-skewed. Eight distinct estimation approaches have been employed to estimate the parameters of our model. Additionally, the behavior of the HS model parameters was investigated using randomly generated data sets using these estimation techniques. Furthermore, we illustrate the applicability of the HS distribution for modeling real data by applying our results to real data. As a result, it is expected that our proposal will be of significant assistance to the community investigating new distributions based on hyperbolic functions and their applications to real-world data sets., Competing Interests: The authors have declared that no competing interests exist., (Copyright: © 2024 Alharbi et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.)
- Published
- 2024
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