AUTHOREA
Log in Sign Up Browse Preprints
LOG IN SIGN UP
* NaserOdat
* NaserOdat

Public Documents 1
Combining the Epanechnikov kernel function with Kumeraswamy distribution
* NaserOdat

* NaserOdat

April 11, 2025
The Epanechnikov-Kumaraswamy Distribution (EKD), a new two-parameter bounded distribution, is presented in this study. It is a combination of the Kumaraswamy distribution with the Epanechnikov kernel function. Important statistical characteristics of EKD, including as moments, the moment generating function, reliability functions, order statistics, and Rényi entropy, are derived and examined by the authors. They use large-scale simulations with different sample sizes to show the consistency and objectivity of parameter estimators using maximum likelihood estimation. When compared to alternatives, EKD exhibits consistently negative Rényi entropy values, indicating a superior concentration of probability mass.

| Powered by Authorea.com

  • Home