Handbook of fitting statistical distributions with R

著者

• Karian, Zaven A.
• Dudewicz, Edward J.

書誌事項

Handbook of fitting statistical distributions with R

Zaven A. Karian, Edward J. Dudewicz

（A Chapman & Hall book）

CRC Press, c2011

• : hardback, includes CD-ROM

注記

Includes bibliographical references and index

内容説明・目次

内容説明

With the development of new fitting methods, their increased use in applications, and improved computer languages, the fitting of statistical distributions to data has come a long way since the introduction of the generalized lambda distribution (GLD) in 1969. Handbook of Fitting Statistical Distributions with R presents the latest and best methods, algorithms, and computations for fitting distributions to data. It also provides in-depth coverage of cutting-edge applications. The book begins with commentary by three GLD pioneers: John S. Ramberg, Bruce Schmeiser, and Pandu R. Tadikamalla. These leaders of the field give their perspectives on the development of the GLD. The book then covers GLD methodology and Johnson, kappa, and response modeling methodology fitting systems. It also describes recent additions to GLD and generalized bootstrap methods as well as a new approach to goodness-of-fit assessment. The final group of chapters explores real-world applications in agriculture, reliability estimation, hurricanes/typhoons/cyclones, hail storms, water systems, insurance and inventory management, and materials science. The applications in these chapters complement others in the book that deal with competitive bidding, medicine, biology, meteorology, bioassays, economics, quality management, engineering, control, and planning. New results in the field have generated a rich array of methods for practitioners. Making sense of this extensive growth, this comprehensive and authoritative handbook improves your understanding of the methodology and applications of fitting statistical distributions. The accompanying CD-ROM includes the R programs used for many of the computations.

目次

Overview Fitting Statistical Distributions: An Overview The Generalized Lambda Distribution 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 GLD Using a Percentile-KS (P-KS) Adequacy Criterion Fitting Mixture Distributions Using a Mixture of GLDs with Computer Code GLD-2: The Bivariate GLD Fitting the GLD with Location and Scale-Free Shape Functionals Statistical Design of Experiments: A Short Review Quantile Distribution Methods 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 Method Fitting GLD to Data Using GLDEX 1.0.4 in R Other Families of Distributions 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 Estimates A Multivariate Gamma Distribution for Linearly Related Proportional Outcomes The Generalized Bootstrap and Monte Carlo Methods The Generalized Bootstrap (GB) and Monte Carlo (MC) Methods The GB: A New Fitting Strategy and Simulation Study Showing Advantage over Bootstrap Percentile Methods GB Confidence Intervals for High Quantiles Assessment of the Quality of Fits 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 Applications 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 GLD 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 GLD Statistical Analyses of Environmental Pressure Surrounding Atlantic Tropical Cyclones Simulating Hail Storms Using Simultaneous Efficient Random Number Generators Appendices Programs and Their Documentation Table B-1 for GLD Fits: Method of Moments Table C-1 for GBD Fits: Method of Moments Tables D-1 through D-5 for GLD Fits: Method of Percentiles Tables E-1 through E-5 for GLD Fits: Method of L-Moments Table F-1 for Kappa Distribution Fits: Method of L-Moments Table G-1 for Kappa Distribution Fits: Method of Percentiles Table H-1 for Johnson System Fits in the SU Region: Method of Moments Table I-1 for Johnson System Fits in the SB Region: Method of Moments Table J-1 for p-Values Associated with Kolmogorov-Smirnov Statistics Table K-1 Normal Distribution Percentiles Index References appear at the end of each chapter.

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詳細情報

• NII書誌ID(NCID): BB0362938X
• ISBN:
  • 9781584887119
• LCCN: 2010032085
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Boca Raton
• ページ数/冊数: xlv, 1672 p.
• 大きさ: 27 cm.
• 付属資料: 1 CD-ROM (4 3/4 in.)
• 分類:
  • LCC : QA273.6
  • DC22 : 519.2/4
• 件名:
  • LCSH : Distribution (Probability theory)
  • LCSH : R (Computer program language)
• 親書誌ID:
  • BB04603869