The Epanechnikov-Rayleigh Distribution: Statistical Properties and Real-World Applications

  • Naser Odat Department of Mathematics, Faculty of Science, Jadara University, Jordan
DOI: https://doi.org/10.19139/soic-2310-5070-2754
Keywords: Keywords: Epanechnikov, Rayleigh distribution, , Moments, Maximum likelihood

Abstract

This article looks at the main statistical features of the Epanechnikov-Rayleigh Distribution, like moments and quintiles, and figures out the probability density function (PDF) and cumulative distribution function (CDF). Maximum likelihood estimation (MLE) is used for parameter estimation, and comprehensive simulation studies are used to assess the suggested distribution's performance. The superior goodness-of-fit of the Epanechnikov-Rayleigh distribution over the classical Rayleigh distribution and other competing models is demonstrated by real-world applications in reliability analysis and environmental modeling, as evaluated by the Bayesian Information Criterion (BIC) and Akaike Information Criterion (AIC). 
Published
2025-10-01
How to Cite
Odat, N. (2025). The Epanechnikov-Rayleigh Distribution: Statistical Properties and Real-World Applications . Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-2754
Issue
Online First
Section
Research Articles
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