Chapman and Hall/CRC
592 pages | 191 B/W Illus.
This is the second volume in a series of books about using the GAMLSS R package developed by the authors. This volume presents a broad overview of statistical distributions and how they can be used in practical applications. It describes over 100 distributions - all available in the supporting R package - including their properties, limitations, and applications. Given the increasing size and complexity of available datasets, it is important to choose the underlying statistical distribution for your model very carefully, and this book gives both users and non-users of GAMLSS the tools to do that effectively.
Part I: Parametric distributions and the GAMLSS family of distributions Chapter 1 Types of distributions Chapter 2 Properties of distributions Chapter 3 The GAMLSS Family of Distributions Chapter 4 Continuous distributions on (−1,1) Chapter 5 Continuous distributions on (0, ∞) Chapter 6 Continuous distributions on (0, 1) Chapter 7 Discrete distributions for count data Chapter 8 Binomial type distributions Chapter 9 Mixed distributions Part II: Advanced Topics Chapter 10 Maximum likelihood Chapter 11 Robustness of parameter estimation to outlier Chapter 12 Methods of generating Chapter 13 Discussion of skewness Chapter 14 Discussion of Kurtosis Chapter 15 Skewness and kurtosis comparisons of continuous distributions Chapter 16 Heaviness of tails of continuous Part III: Reference Guide Chapter 17 Continuous distributions on (−∞,∞) Chapter 18 Continuous distributions on (0, ∞) Chapter 19 Mixed distributions on 0 to ∞, including 0 Chapter 20 Continuous and mixed distributions on [0, 1] Chapter 21 Count data Chapter 22 Binomial type data distributions