Alpha Power Lomax Distribution: Properties and Application
Y. Murat Bulut, Fatma Zehra Doğru, Olçay Arslan
Abstract
This study offers a newly proposed distribution called alpha power Lomax (APL) distribution as a new extension of the Lomax distribution using the alpha power transformation (APT) method. Some distributional properties of newly defined distribution such as density function, moments, hazard and survival functions, orders statistics etc. are investigated. Parameters of the APL distribution are estimated with the help of the maximum likelihood (ML) estimation method. The applicability of the APL distribution is conducted through a simulation study and a real data example.
Topics & Concepts
Lomax distributionMathematicsStatisticsDistribution (mathematics)Transformation (genetics)Pareto distributionApplied mathematicsExtension (predicate logic)Power (physics)Computer scienceMathematical analysisPhysicsThermodynamicsProgramming languageGeneBiochemistryChemistryStatistical Distribution Estimation and ApplicationsReliability and Maintenance Optimization