A New Generalized Lomax Model: Statistical Properties And Applications
Mohamed Ibrahim, Haitham M. Yousof
Abstract
In this paper, a new version of the Poisson Lomax distributions is proposed and studied. The new density is expressed as a linear mixture of the Lomax densities. The failure rate function of the new model can be increasing-constant, increasing, U shape, decreasing and upside down-increasing. The statistical properties are derived and four applications are provided to illustrate the importance of the new density. The method of maximum likelihood is used to estimate the unknown parameters of the new density. Adequate fitting is provided by the new model.
Topics & Concepts
Lomax distributionPoisson distributionMathematicsApplied mathematicsConstant (computer programming)Probability density functionFunction (biology)Statistical physicsMaximum likelihoodStatisticsComputer sciencePhysicsEvolutionary biologyProgramming languageBiologyStatistical Distribution Estimation and ApplicationsProbabilistic and Robust Engineering DesignOptimal Experimental Design Methods