The Exponentiated Kumaraswamy-Burr Distribution and its Applications

The Exponentiated Kumaraswamy-Burr Distribution and its Applications

Presenter(s)

Alexander Griffiths

Comments

Presentation: 9:00-10:15 a.m., Kennedy Union Ballroom

Description

In light of increased data collection coupled with a growing need for data analysis, we increasingly require more accurate models and lenses to analyze data. In probability theory, statistics, and economics, the Burr distribution is widely used to model household income, insurance risk, crop prices, travel time, flood levels, and failure data. Two well-known methods exist to construct generalized statistical distributions to increase flexibility, including the Kumaraswamy-generated and exponentiated methods. By combining these two methods, in this project, we obtain the Exponentiated Kumaraswamy Burr (EKB) distribution which is a generalization of the Burr distribution. Some statistical properties, including the cumulative distribution function, the probability density function, the hazard function, the moments, and the skewness, are presented. The maximum likelihood method is used to estimate the parameters of the EKB distribution. Finally, the proposed distribution is verified against real data to determine its usefulness, applicability, importance, and flexibility and compare it to other competing distributions.

Publication Date

4-19-2023

Project Designation

Capstone Project

Primary Advisor

Gayan Warahena Liyanage

Primary Advisor's Department

Mathematics

Keywords

Stander Symposium, College of Arts and Sciences

Institutional Learning Goals

Scholarship

The Exponentiated Kumaraswamy-Burr Distribution and its Applications

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