Box-Cox Ristić—Balakrishnan Odd Burr III-G Family of distribution: Properties and applications

Abstract

The Box Cox Rlstić-Balakrishnan Odd Burr III-G Family is a new family of distributions introduced in this paper. It can be conceived of as a natural extension of the useful RB-G family of distributions. The key tool for this generalization is the use of Box-Cox transformation. The exponential distribution was used as a sub-distribution. Some mathematical properties of the new sub-family were derived. Then, a specific member with four parameters was studied with various statistical features and viewed as a statistical model. Finally, the novel model's power of adjustment was compared to six current competitive models using real data.