Distributions for Modeling Location, Scale, and Shape: Using Gamlss in R

ISBN-13: 9780367278847 / Angielski / Twarda / 2019 / 560 str.

Robert A. Rigby; Mikis D. Stasinopoulos; Gillian Z. Heller

Opis

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.

Spis treści

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 Count data distributions. Chapter 23 Binomial type distributions and multinomial distributions.