Types of distributions -- Properties of distributions -- The GAMLSS family of distributions -- Continuous distributions on (-[infinity],[infinity]) -- Continuous distributions on (0;[infinity]) -- Continuous distributions on (0; 1) -- Discrete distributions for count data -- Binomial type distributions -- Mixed distributions -- Statistical Inference -- Maximum likelihood estimation -- Robustness of parameter estimation to outlier contamination -- Methods of generating distributions -- Discussion of skewness -- Discussion of kurtosis -- Skewness and kurtosis comparisons of continuous distributions -- Heaviness of tails of distributions -- Continuous distributions on (-[infinity];[infinity]) -- Continuous distributions on (0;[infinity]) -- Mixed distributions on [0;[infinity]) -- Continuous and mixed distributions on [0; 1] -- Count data distributions -- Binomial type distributions and multinomial distributions -- R code for plots of the reference guide.
Summary:
"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"-- Provided by publisher.
This resource is supported by the Institute of Museum and Library Services under the provisions of the Library Services and Technology Act as administered by State Library of Iowa.