The Odd Beta Prime-G Family of Probability Distributions: Properties and Applications to Engineering and Environmental Data
Ahmad Abubakar Suleiman, Hanita Daud, Mahmod Othman, Aliyu Ismail Ishaq, Rachmah Indawati, Lazim Abdullah, Abdullah Abdullah
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.
Topics & Concepts
Prime (order theory)Beta distributionBETA (programming language)Exponential familyExponential functionGeneralized beta distributionEntropy (arrow of time)Probability density functionMoment-generating functionMathematicsNatural exponential familyProbability distributionStatistical physicsApplied mathematicsComputer scienceCombinatoricsPhysicsStatisticsMathematical analysisQuantum mechanicsProgramming languageDistribution fittingStatistical Distribution Estimation and ApplicationsProbabilistic and Robust Engineering DesignHydrology and Drought Analysis