The Odd Beta Prime-G Family of Probability Distributions: Properties and Applications to Engineering and Environmental Data

Abstract

In this work, a novel generalized family of distributions called the odd beta prime is introduced. The linear representations of the proposed family are obtained. The expressions for the moments, the moment-generating function, and entropy are derived. A three-parameter special sub-model of the proposed family called the odd beta prime exponential distribution is proposed. Finally, two real data sets are used to illustrate the usefulness and flexibility of the proposed distribution.

Keywords

• odd beta prime generalized family
• exponential distribution
• T-X transformer
• moments
• moment-generating function
• entropy