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Handbook of fitting statistical distributions with R / Zaven A. Karian, Edward J. Dudewicz.

By: Karian, Zaven AContributor(s): Dudewicz, Edward JMaterial type: TextTextPublisher: Boca Raton, FL : CRC Press, c2011Description: xlv, 1672 p. : ill. ; 27 cm. + 1 CD-ROM (4 3/4 in.)ISBN: 9781584887119 (hardcover, includes cdrom : alk. paper); 1584887117 (hardcover, includes cdrom : alk. paper)Subject(s): Distribution (Probability theory) | R (Computer program language)DDC classification: 519.532 LOC classification: QA273.6 | .K374 2011
Contents:
Fitting statistical distributions: an overview -- The generalized Lambda family of distributions -- Fitting distributions and data with the GLD via the method of moments -- The extended GLD system, the EGLD: fitting by the method of moments -- A percentile-based approach to fitting distributions and data with the GLD -- Fitting distributions and data with the GLD through L-moments -- Fitting a generalized Lambda distribution using a percentile-KS (P-KS) adequacy criterion -- Fitting mixture distributions using a mixture of generalized Lambda distributions with computer code -- GLD-2: the bivariate GLD distribution -- Fitting the generalized Lambda distribution with location and scale-free shape functionals -- Statistical design of experiments: a short review -- Statistical modeling based on quantile distribution functions -- Distribution fitting with the quantile function of response modeling methodology (RMM) -- Fitting GLDs and mixture of GLDs to data using quantile matching methods -- Fitting GLD to data using GLDEX 1.0.4 in R -- Fitting distributions and data with the Johnson system via the method of moments -- Fitting distributions and data with the Kappa distribution through L-moments and percentiles -- Weighted distributional L[subscript alpha] estimates -- A multivariate gamma distribution for linearly related proportional outcomes -- The generalized bootstrap (GB) and Monte Carlo (MC) methods -- The generalized bootstrap: a new fitting strategy and simulation study showing advantage over bootstrap percentile methods -- Generalized bootstrap confidence intervals for high quantiles -- Goodness-of-fit criteria based on observations quantized by hypothetical and empirical percentiles -- Evidential support continuum (ESC): a new approach to goodness-of-fit assessment, which addresses conceptual and practical challenges -- Estimation of sampling distributions of the overlapping coefficient and other similarity measures -- Fitting statistical distribution functions to small datasets -- Mixed truncated random variable fitting with the GLD, and applications in insurance and inventory management -- Distributional modeling of pipeline leakage repair costs for a water utility company -- Use of the generalized Lambda distribution in materials science, with examples in fatigue lifetime, fracture mechanics, polycrystalline calculations, and pitting corrosion -- Fitting statistical distributions to data in hurricane modeling -- A rainfall-based model for predicting the regional incidence of wheat seed infection by Stagonospora nodorum in New York -- Reliability estimation using univariate dimension reduction and extended generalized Lambda distribution -- Statistical analyses of environmental pressure surrounding Atlantic tropical cyclones -- Simulating hail storms using simultaneous efficient random number generators -- Appendices: A. Programs and their documentation -- B. Table B-1 for GLD fits: method of moments -- C. Table C-1 for GBD fits: method of moments -- D. Tables D-1 through D-5 for GLD fits: method of percentiles -- E. Tables E-1 through E-5 for GLD fits: method of L-moments -- F. Table F-1 for kappa distribution fits: method of L-moments -- G. Table G-1 for Kappa distribution fits: method or percentiles -- H. Table H-1 for Johnson system fits in the S[subscript u] region: method of moments -- I. Table I-1 for Johnson system fits inn the S[subscript b] region: method of moments -- J. Table J-I for p-values associated with Kolmogorov-Smirnov statistics -- K. Table K-1 normal distribution percentiles.
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Reference Reference GKVK Library
519.532 KAR (Browse shelf) Not for loan (Restricted Access) 134342

Includes bibliographical references and index.

Fitting statistical distributions: an overview -- The generalized Lambda family of distributions -- Fitting distributions and data with the GLD via the method of moments -- The extended GLD system, the EGLD: fitting by the method of moments -- A percentile-based approach to fitting distributions and data with the GLD -- Fitting distributions and data with the GLD through L-moments -- Fitting a generalized Lambda distribution using a percentile-KS (P-KS) adequacy criterion -- Fitting mixture distributions using a mixture of generalized Lambda distributions with computer code -- GLD-2: the bivariate GLD distribution -- Fitting the generalized Lambda distribution with location and scale-free shape functionals -- Statistical design of experiments: a short review -- Statistical modeling based on quantile distribution functions -- Distribution fitting with the quantile function of response modeling methodology (RMM) -- Fitting GLDs and mixture of GLDs to data using quantile matching methods -- Fitting GLD to data using GLDEX 1.0.4 in R -- Fitting distributions and data with the Johnson system via the method of moments -- Fitting distributions and data with the Kappa distribution through L-moments and percentiles -- Weighted distributional L[subscript alpha] estimates -- A multivariate gamma distribution for linearly related proportional outcomes -- The generalized bootstrap (GB) and Monte Carlo (MC) methods -- The generalized bootstrap: a new fitting strategy and simulation study showing advantage over bootstrap percentile methods -- Generalized bootstrap confidence intervals for high quantiles -- Goodness-of-fit criteria based on observations quantized by hypothetical and empirical percentiles -- Evidential support continuum (ESC): a new approach to goodness-of-fit assessment, which addresses conceptual and practical challenges -- Estimation of sampling distributions of the overlapping coefficient and other similarity measures -- Fitting statistical distribution functions to small datasets -- Mixed truncated random variable fitting with the GLD, and applications in insurance and inventory management -- Distributional modeling of pipeline leakage repair costs for a water utility company -- Use of the generalized Lambda distribution in materials science, with examples in fatigue lifetime, fracture mechanics, polycrystalline calculations, and pitting corrosion -- Fitting statistical distributions to data in hurricane modeling -- A rainfall-based model for predicting the regional incidence of wheat seed infection by Stagonospora nodorum in New York -- Reliability estimation using univariate dimension reduction and extended generalized Lambda distribution -- Statistical analyses of environmental pressure surrounding Atlantic tropical cyclones -- Simulating hail storms using simultaneous efficient random number generators -- Appendices: A. Programs and their documentation -- B. Table B-1 for GLD fits: method of moments -- C. Table C-1 for GBD fits: method of moments -- D. Tables D-1 through D-5 for GLD fits: method of percentiles -- E. Tables E-1 through E-5 for GLD fits: method of L-moments -- F. Table F-1 for kappa distribution fits: method of L-moments -- G. Table G-1 for Kappa distribution fits: method or percentiles -- H. Table H-1 for Johnson system fits in the S[subscript u] region: method of moments -- I. Table I-1 for Johnson system fits inn the S[subscript b] region: method of moments -- J. Table J-I for p-values associated with Kolmogorov-Smirnov statistics -- K. Table K-1 normal distribution percentiles.

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