Open AccessBivariate Transmuted Burr Distribution: Properties and Application
Author(s) -
Muhammad Shahbaz,
Jumanah Ahmed Darwish,
Lutfiah Ismail Al turk
Publication year - 2021
Publication title -
pakistan journal of statistics and operation research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.354
H-Index - 15
eISSN - 2220-5810
pISSN - 1816-2711
DOI - 10.18187/pjsor.v17i1.3625
Subject(s) - mathematics , joint probability distribution , bivariate analysis , univariate distribution , marginal distribution , statistics , univariate , conditional probability distribution , normal gamma distribution , distribution (mathematics) , random variable , asymptotic distribution , multivariate statistics , mathematical analysis , estimator
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.