Peter Peter - Department of Mathematics; Statistical Sciences, Botswana International University of Science; Technology
Broderick Oluyede - Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye, Botswana
Nkumbuludzi Ndwapi - Department of Mathematics; Statistical Sciences, Faculty of Science, Botswana International University of Science; Technology, Palapye, Botswana
Huybrechts Bindele - University of South Alabama Mobile, AL

A new generalized family of distributions called the Weibull Odd Burr III-G is introduced using the T-X transformation technique. Some of useful mathematical and statistical properties such as the hazard function, quantile function, moments, probability weighted moments, Rényi entropy, order statistics and stochastic orders are derived. The method of maximum likelihood estimation is used to estimate the model parameters. The usefulness of these family of distributions is demonstrated via simulated experiments and its special cases are applied to real life data sets to illustrate flexibility.

Weibull distribution, Odd Burr-III distribution, Family of distributions, Stochastic Order, Maximum likelihood estimation