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Handbook of Fitting Statistical Distributions with R

Publisher: 
Chapman & Hall/CRC
Number of Pages: 
1672
Price: 
149.95
ISBN: 
9781584887119
Date Received: 
Thursday, January 27, 2011
Reviewable: 
No
Include In BLL Rating: 
No
Reviewer Email Address: 
Aven A. Karian and Edward J. Dudewicz
Publication Date: 
2011
Format: 
Hardcover with CDROM
Category: 
Handbook

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 Lα 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

Publish Book: 
Modify Date: 
Wednesday, August 3, 2011

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