The Weibull Marshall–Olkin Lindley distribution: properties and estimation
Ahmed Z. Afify, Mazen Nassar, Gauss M. Cordeiro, Devendra Kumar
Abstract
We obtain some properties of the Weibull Marshall–Olkin Lindley distribution. Its hazard rate function can be increasing, decreasing, bathtub-shaped, decreasing-increasing-decreasing and unimodal. We compare the performance of some methods to estimate its model parameters by means of extensive simulations. The potentiality of the new distribution to modeling real-life data is shown using two real data sets.
Topics & Concepts
Weibull distributionBathtubStatisticsExponentiated Weibull distributionMathematicsApplied mathematicsFailure rateWeibull fadingWeibull modulusLog-logistic distributionDistribution (mathematics)Materials scienceProbability density functionCumulative distribution functionMathematical analysisComposite materialDecoding methodsRayleigh fadingFadingStatistical Distribution Estimation and ApplicationsProbabilistic and Robust Engineering DesignReliability and Maintenance Optimization