An Extension of Log-Logistic Distribution for Analyzing Survival Data
Aliya Syed Malik, S. P. Ahmad
Abstract
In this paper, a new generalization of Log Logistic Distribution using Alpha Power Transformation is proposed. The new distribution is named Alpha Power Log-Logistic Distribution. A comprehensive account of some of its statistical properties are derived. The maximum likelihood estimation procedure is used to estimate the parameters. The importance and utility of the proposed model are proved empirically using two real life data sets.
Topics & Concepts
MathematicsLogistic distributionExtension (predicate logic)Log-logistic distributionGeneralizationStatisticsLogistic regressionTransformation (genetics)Distribution (mathematics)EconometricsApplied mathematicsDistribution fittingProbability distributionComputer scienceChemistryProgramming languageMathematical analysisGeneBiochemistryStatistical Distribution Estimation and ApplicationsBayesian Methods and Mixture ModelsInsurance, Mortality, Demography, Risk Management