A New Family of Truncated Nadarajah-Haghighi-G Properties with Real Data Applications
Khalaf H. Al-Habib, Mundher A. Khaleel, Hazem Al-Mofleh
Abstract
In this paper, the [0,1] truncated Nadarajah Haghighi- G family is introduced, and some of its statistical properties such as expansion of its PDF are derived. In addition, quantile function, survival function, hazard rate function, reversed hazard rate function, cumulative hazard rate function, odd functions, rth moments, incomplete moments, moment generating function, order statistic, moments of order statistic, Inequality measures, mean residual life and entropy. The parameters of this family were estimated by maximum likelihood method.
Topics & Concepts
MathematicsOrder statisticQuantile functionStatisticsQuantileStatisticSurvival functionHazard ratioProbability density functionCumulative distribution functionMoment (physics)Moment-generating functionFunction (biology)HazardResidualApplied mathematicsSurvival analysisAlgorithmPhysicsEvolutionary biologyBiologyChemistryClassical mechanicsConfidence intervalOrganic chemistryStatistical Distribution Estimation and ApplicationsAdvanced Statistical Methods and ModelsHydrology and Drought Analysis