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Bivariate Transmuted Burr Distribution: Properties and Application

Author(s)
Jumanah Ahmed Darwish . Department of Statistics, Faculty of Science, King Abdulaziz University,Jeddah, Kingdom of,Saudi Arabia
Lutfiah Ismail Al turk Department of Statistics, Faculty of Science, King Abdulaziz University,Jeddah, Kingdom of,Saudi Arabia
Muhammad Qaiser Shahbaz . Department of Statistics, Faculty of Science, King Abdulaziz University,Jeddah, Kingdom ofSaudi Arabia
Abstract
The bivariate distributions are useful in simultaneous modeling of two random variables. These distributions provide a way of modeling complex joint phenomenon. In this article, a new bivariate distribution is proposed which is known as the bivariate transmuted Burr (BTB) distribution. This new bivariate distribution is extension of the univariate transmuted Burr (TB) distribution to two variables. The proposed BTB distribution is explored in detail and the marginal and conditional distributions for the distribution are obtained. Joint and conditional moments alongside hazard rate functions are obtained. The maximum likelihood estimation (MLE) for the parameters of the BTB distribution is also done. Finally, real data application of the BTB distribution is given. It is observed that the proposed BTB distribution is a suitable fit for the data used.
Publication Details
Page(s) 15-24
DOI 10.18187/pjsor.v17i1.3625
Published Journal: Pakistan Journal of Statistics and Operation Research, Volume: 17, Issue: 1, Year: 2021

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Keywords
Maximum Likelihood Estimation, Dependence Function, Transmuted Distributions, Bivariate Distributions, Burr Distribution
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