The Exponentiated Kumaraswamy-Burr Distribution and its Applications
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.
Gayan Warahena Liyanage
Primary Advisor's Department
Stander Symposium, College of Arts and Sciences
Institutional Learning Goals
"The Exponentiated Kumaraswamy-Burr Distribution and its Applications" (2023). Stander Symposium Projects. 3182.
Presentation: 9:00-10:15 a.m., Kennedy Union Ballroom