Exponentiated Power Lindley-Logarithmic Distribution and its Applications
Abuh Musa, Sidney I. Onyeagu, Okechukwu J. Obulezi
Abstract
This article proposes a new distribution call the Exponentiated Power Lindley-Logarithmic Distribution for modeling real life data. The distribution is motivated by the Exponentiated Power Lindley distribution. The quantile function is derived and the Maximum likelihood estimates of the parameters are also derived. The distribution performed better in simulation study than the competing distribution. The distribution can model real life biomedical phenomena and agricultural events.
Topics & Concepts
LogarithmDistribution (mathematics)QuantileMathematicsLog-Cauchy distributionPower (physics)Applied mathematicsPareto distributionQuantile functionPower functionEconometricsStatisticsCumulative distribution functionDistribution fittingStatistical physicsProbability distributionInverse-chi-squared distributionMathematical analysisProbability density functionPhysicsThermodynamicsStatistical Distribution Estimation and Applications