Fitting Statistical Distributions: The Generalized Lambda Distribution and Generalized Bootstrap Methods (Hardcover)

THE GENERALIZED LAMBDA FAMILY OF DISTRIBUTIONSHistory and BackgroundDefinition of the Generalized Lambda DistributionsThe Parameter Space of the GLDShape of the GLD Density FunctionsGLD Random Variate GenerationFITTING DISTRIBUTIONS AND DATA WITH THE GLD VIA THE METHOD OF MOMENTSThe Moments of the GLD DistributionThe (a23, a4)-Space Covered by the GLD FamilyFitting the GLD through the Method of MomentsGLD Approximation of some Well Known DistributionsExamples: GLD Fits of Data, Method of MomentsMoment-Based GLD Fit to Data from a HistogramThe GLD and Design of ExperimentsTHE EXTENDED GLD SYSTEM, THE EGLD: FITTING BY THE METHOD OF MOMENTSThe Beta Distribution and its MomentsThe Generalized Beta Distribution and its MomentsEstimation of GBD (b1, b2, b3, b4) ParametersGBD Approximation of some Well-Known DistributionsExamples: GBD Fits of Data, Method of MomentsEGLD Random Variate GenerationA PERCENTILE-BASED APPROACH TO FITTING DISTRIBUTIONS AND DATA WITH THE GLDThe Use of PercentilesThe (r3, r4-Space of GLD (l1, l2, l3, l4)Estimation of GLD Parameters through a Method of PercentilesGLD Approximations of some Well-Known DistributionsComparison of the Moment and Percentile MethodsExamples: GLD Fits of Data via the Method of PercentilesPercentile-Based GLD Fit of Data from a HistogramGLD-2: THE BIVARIATE GLD DISTRIBUTIONOverviewPlackett's Method of Bivariate d.f. Construction: the GLD-2Fitting the GLD-2 to Well-Known Bivariate DistributionsGLD-2 Fits: Distributions with Non-Identical MarginalsFitting GLD-2 to DatasetsGLD-2 Random Variate GenerationTHE GENERALIZED BOOTSTRAP (GB) AND MONTE CARLO (MC) METHODSThe Generalized Bootstrap MethodComparison of the GB and BM MethodsAPPENDICESPrograms for Fitting the GLD, GBD, and GLD-2Tables for GLD Fits: Method of MomentsTables for GBD Fits: Method of MomentsTables for GLD Fits: method of PercentilesThe Normal Distribution