On a two-parameter weighted geometric distribution: properties, computation and applications

  • Mohammed Shakhatreh Jordan University of Science and Technology https://orcid.org/0000-0001-8801-0219
  • Hazem Al-Mofleh 1. Ball State University, Muncie, IN 47306, USA 2. , Tafila Technical University, Al-Tafila, Jordan
DOI: https://doi.org/10.19139/soic-2310-5070-2139
Keywords: Geometric distribution, Infinite divisibility, Maximum likelihood estimates, Monte Carlo simulations, Weighted distribution

Abstract

In this article, we introduce a flexible two-parameter weighted geometric distribution characterized by its appealing properties. A key feature of this distribution is its ability to accommodate a wide range of skewness, making it particularly suitable for modeling right-skewed data. The distribution also exhibits a unimodal shape and an increasing failure rate. Several statistical measures are derived, and the distribution parameters are estimated using the method of maximum likelihood. The accuracy of these estimates is evaluated through a Monte Carlo simulation study. To demonstrate the flexibility, versatility, and practical importance of the proposed model, we analyze three real count data sets, showing its superiority over several existing models.

Author Biographies

Mohammed Shakhatreh, Jordan University of Science and Technology
   
Hazem Al-Mofleh, 1. Ball State University, Muncie, IN 47306, USA 2. , Tafila Technical University, Al-Tafila, Jordan
1. Department of Mathematical Sciences/ Assistance Professor 2. Department of Mathematics/Associate Professor
Published
2024-08-25
How to Cite
Shakhatreh, M., & Al-Mofleh, H. (2024). On a two-parameter weighted geometric distribution: properties, computation and applications. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-2139
Issue
Online First
Section
Research Articles
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