Work

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

Year: 2024

Type: article

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.

Source: Statistics Optimization & Information Computing

DOI: 10.19139/soic-2310-5070-2139

Authors: Mohammed Shakhatreh, Hazem Al-Mofleh

Institutions: Jordan University of Science and Technology, Tafila Technical University, Ball State University

Language: English

Topic: Statistical Distribution Estimation and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4407239849

FWCI: 0.343

Cites:

Cited by: 1

Related to: 10