MODIFIED BURR III G FAMILY OF DISTRIBUTIONS: PROPERTIES AND APPLICATIONS

Abstract

We introduce a new three-parameter Modified Burr III G family of distributions. The proposed family is an extended and generalized family, of which some existing and new submodels are its limiting cases. The flexibility of the proposed family is fairly evident in the various shapes its density function accommodates. It can be symmetrical, left-skewed, right-skewed, bathtub, J or reversed-J. Its hazard rate can be increasing or decreasing, bathtub, upside-down bathtub, J and reversed-J, making it a suitable candidate for model fitting in biomedical, engineering, lifetime and survival studies. We have derived some of its structural properties and estimated its parameters using Maximum Likelihood Method. Taking Burr Type XII as a parent distribution we have studied its mathematical properties. A simulation study highlights the performance of the Maximum Likelihood Estimates. Two applications from life testing datasets elaborates its usefulness in model fitting.