On concomitants of generalized order statistics from generalized FGM family under a general setting
Mohamed A. Abd Elgawad, M. A. Alawady
Abstract
Abstract In this work, we study the distributional and moment properties of concomitants of dual generalized order statistics and consequently generalized order statistics. When the parameters are assumed to be pairwise different from Bairamov-Kotz-Becki Farlie-Gumbel-Morgenstern (BKB-FGM) family. Furthermore, an example of progressive type-II censored order statistics of BKB-FGM family under uniform distribution is obtained. Moreover, the joint distribution of dual generalized order statistics and record values of concomitants for this family are discussed. Finally, an application is given for some well-known distributions such as exponential, Pareto, and power function distributions.
Topics & Concepts
Order statisticMathematicsExponential familyPareto distributionGeneralized Pareto distributionPairwise comparisonStatisticsExponential distributionGeneralized functionNatural exponential familyOrder (exchange)Exponential functionDistribution (mathematics)Gumbel distributionPareto principleJoint probability distributionDual (grammatical number)Extreme value theoryMathematical analysisArtLiteratureEconomicsFinanceStatistical Distribution Estimation and ApplicationsHydrology and Drought AnalysisFinancial Risk and Volatility Modeling