Epanechnikov-exponential distribution: properties and applications

Ahmad Alkhazaalh; Loai Al-Zoubi

doi:10.2478/gm-2021-0002

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Epanechnikov-exponential distribution: properties and applications

General Mathematics

Volume 29 (2021): Issue 1 (June 2021)

By: Ahmad Alkhazaalh and Loai Al-Zoubi

Open Access

|Mar 2022

Abstract

A new continuous distribution is proposed using Epanechnikov kernel function and the exponential distribution. This distribution is called the Epanechnikov-exponential distribution. Some properties of this distribution are studied. A simulation study is conducted to calculate the mean and the standard deviation of this distribution and to investigate the behavior of MLE to conserve the consistency property. An application to a real data set is conducted, it showed that he new distribution is more flexible than the exponential distribution.

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Articles in this issue

DOI: https://doi.org/10.2478/gm-2021-0002 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023

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Language: English

Page range: 13 - 29

Submitted on: Sep 28, 2020

Accepted on: Nov 23, 2020

Published on: Mar 30, 2022

Published by: Lucian Blaga University of Sibiu

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Epanechnikov exponential distribution,

Epanechnikov distribution,

Moments,

Entropy,

Related subjects:

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics,

Applied mathematics

© 2022 Ahmad Alkhazaalh, Loai Al-Zoubi, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 29 (2021): Issue 1 (June 2021)