On the Alpha Power Kumaraswamy Distribution: Properties, Simulation and Application
Mohamed Ahmed
Abstract
Adding new parameters to classical distributions becomes one of the most important methods for increasing distributions flexibility, especially, in simulation studies and real data sets. In this paper, alpha power transformation (APT) is used and applied to the Kumaraswamy (K) distribution and a proposed distribution, so called the alpha power Kumaraswamy (AK) distribution, is presented. Some important mathematical properties are derived, parameters estimation of the AK distribution using maximum likelihood method is considered. A simulation study and a real data set are used to illustrate the flexibility of the AK distribution compared with other distributions.
Topics & Concepts
MathematicsDistribution (mathematics)Applied mathematicsTransformation (genetics)Power (physics)Alpha (finance)AlgorithmStatisticsMathematical optimizationMathematical analysisPhysicsBiochemistryQuantum mechanicsChemistryGenePsychometricsConstruct validityStatistical Distribution Estimation and ApplicationsProbabilistic and Robust Engineering DesignReliability and Maintenance Optimization