A new length-biased power Lindley distribution with properties and its applications
Aafaq A. Rather, Gamze Özel
Abstract
The present paper introduces a new model namely length biased power Lindley distribution with two parameters. The survival function, failure rate and moments of the proposed distribution are derived. The maximum likelihood estimators of the parameters and their asymptotics are discussed and also the order statistics are derived. The potentiality of the proposed model has been tested by using two real life time data sets.
Topics & Concepts
EstimatorOrder statisticMaximum likelihoodDistribution (mathematics)StatisticsMathematicsApplied mathematicsPower (physics)Function (biology)Distribution functionFailure rateLikelihood functionEconometricsOrder (exchange)Mathematical optimizationMathematical analysisEconomicsPhysicsQuantum mechanicsFinanceEvolutionary biologyBiologyStatistical Distribution Estimation and ApplicationsProbabilistic and Robust Engineering DesignHydrology and Drought Analysis