New polynomial exponential distribution: properties and applications
Abdelfateh Beghriche, Halim Zeghdoudi, Vinoth Raman, Sarra Chouia
Abstract
Abstract The study describes the general concept of the XLindley distribution. Forms of density and hazard rate functions are investigated. Moreover, precise formulations for several numerical properties of distributions are derived. Extreme order statistics are established using stochastic ordering, the moment method, the maximum likelihood estimation, entropies and the limiting distribution. We demonstrate the new family’s adaptability by applying it to a variety of real-world datasets.
Topics & Concepts
Exponential familyMathematicsOrder statisticApplied mathematicsMoment (physics)Variety (cybernetics)Exponential functionExponential distributionAdaptabilityHazardDistribution (mathematics)PolynomialMaximum likelihoodStatistical physicsStatisticsStochastic orderingLimitingMathematical optimizationMathematical analysisEngineeringPhysicsChemistryEcologyBiologyOrganic chemistryMechanical engineeringClassical mechanicsStatistical Distribution Estimation and ApplicationsProbabilistic and Robust Engineering DesignHydrology and Drought Analysis