A New Two-parameter Modified Half-logistic Distribution: Properties and Applications
Gorgees Shaheed Mohammad
Abstract
This article aims to present and analyse a modified two-parameter version of the Half-Logistic lifetime model.The hazard function, quantile function, asymptotic, linear combination, extreme value, moments, incomplete moments, residual entropies, moment generating function and order statistics, all theoretical properties of this model that are derived and discussed in depth. By performing a simulation analysis, the various techniques of estimation are compared to the estimates of the maximum likelihood of parameters.Finally, two actual data sets have been applied to illustrate the goals of this article.
Topics & Concepts
QuantileMoment (physics)Quantile functionMathematicsOrder statisticExtreme value theoryApplied mathematicsStatisticsResidualMoment-generating functionMaximum likelihoodHazardLogistic distributionFunction (biology)Log-logistic distributionLikelihood functionLogistic regressionProbability density functionAlgorithmCumulative distribution functionPhysicsOrganic chemistryChemistryClassical mechanicsBiologyEvolutionary biologyStatistical Distribution Estimation and Applications