Mohammed Gouda Khalil Hindawy
Lecturer
A Generalization of Burr Type XII Distribution with Properties, Copula and Modeling Symmetric and Skewed Real Data Sets
Pakistan Journal of Statistics and Operation Research (PJSOR) • 2024
Publication Information
Authors
Not Available
Keywords
Burr XII Distribution; Symmetric Density; Copula; Kaplan-Meier; Maximum Likelihood; Simulation; Modeling; Unimodal.
Journal
Pakistan Journal of Statistics and Operation Research (PJSOR)
Publisher
Not Available
Volume
19
Issue
1
Pages
77-101
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
The Burr Type XII distribution is commonly used in reliability analysis, survival analysis, and actuarial science to model the time-to-failure of a system or component. It is also used in finance to model the distribution of portfolio returns and in hydrology to model the frequency of extreme events. In this work, a new generalization of Burr type
XII model is introduced and studied. The genesis of the new model is based on the family of Cordeiro et al. (2016). The new model generalizes at least eight important sub-models. The new density can be unimodal, symmetric and left skewed. Some useful properties related to the new model are derived. The Clayton Copula-based construction is used to generate many bivariate and multivariate type distributions. Graphically, we performed simulation experiments to assess of the finite sample behavior of the estimations.
XII model is introduced and studied. The genesis of the new model is based on the family of Cordeiro et al. (2016). The new model generalizes at least eight important sub-models. The new density can be unimodal, symmetric and left skewed. Some useful properties related to the new model are derived. The Clayton Copula-based construction is used to generate many bivariate and multivariate type distributions. Graphically, we performed simulation experiments to assess of the finite sample behavior of the estimations.