Inference on the transmuted burr type XII distribution

Abstract EN

Burr XII distribution is one of the most important and most widely used distributions for lifetime as well as the wealth data analysis and modeling.

Burr Type XII is a member of a system of continuous distributions introduced by Burr (1942).

Adding parameters to a wellestablished distribution is a time honored device for obtaining more flexible new families of distributions.

In this paper, we derived a new model as a generalization for the Burr XII distribution, namely; the transmuted Burr XII distribution (TBXII).

We discussed the basic characteristics of the TBXII such as the reliability, hazard rate function , rth moment, expectation, variance, median, moment generating function, and the probability density function (pdf) of the rth order statistic.

We also estimated the parameters using the method of moments, Maximum Likelihood Estimation method, Quantile Matching method and maximum goodness-of-fit Method .

We finally applied the TBXII distribution to a simulated dataset and conducted a simulation study to compare methods of the parameters of the TBXII distribution.

As a result, we found that the TBXII distribution have very interesting distributional properties and the estimates of the parameters of the distribution are very good.

The TBXII distribution is a very flexible one and can be particularly applied to heavy tailed datasets such as lifetime data in health and finance.