Odd Generalized N-H Generated Family of Distributions with Application to Exponential Model
Zubair Ahmad, Mohammed Elgarhy, G. G. Hamedani, Nadeem Shafique Butt
Abstract
A new family of distributions called the odd generalized N-H is introduced and studied. Four new special models are presented. Some mathematical properties of the odd generalized N-H family are studied. Explicit expressions for the moments, probability weighted, quantile function, mean deviation, order statistics and Rényi entropy are investigated. Characterizations based on the truncated moments, hazard function and conditional expectations are presented for the generated family. Parameter estimates of the family are obtained based on maximum likelihood procedure. Two real data sets are employed to show the usefulness of the new family.
Topics & Concepts
MathematicsExponential familyNatural exponential familyQuantile functionOrder statisticQuantileExponential functionMoment-generating functionApplied mathematicsConditional probability distributionStatisticsHazardExponential distributionProbability density functionNormal familyMathematical analysisOrganic chemistryChemistryNormalityStatistical Distribution Estimation and ApplicationsForecasting Techniques and ApplicationsHydrology and Drought Analysis