On the Log-Logistic Distribution and Its Generalizations: A Survey
Abdisalam Hassan Muse, Samuel Mwalili, Oscar Ngesa
Abstract
In this paper, we present a review on the log-logistic distribution and some of its recent generalizations. We cite more than twenty distributions obtained by different generating families of univariate continuous distributions or compounding methods on the log-logistic distribution. We reviewed some log-logistic mathematical properties, including the eight different functions used to define lifetime distributions. These results were used to obtain the properties of some log-logistic generalizations from linear representations. A real-life data application is presented to compare some of the surveyed distributions.
Topics & Concepts
MathematicsLogistic distributionUnivariateLog-logistic distributionStatisticsLogistic regressionDistribution (mathematics)Logistic functionApplied mathematicsCombinatoricsProbability distributionMathematical analysisMultivariate statisticsDistribution fittingStatistical Distribution Estimation and ApplicationsProbabilistic and Robust Engineering DesignReliability and Maintenance Optimization