<p>This is a book about statistical distributions, their properties, and their application to modelling the dependence of the location, scale, and shape of the distribution of a response variable on explanatory variables. It will be especially useful to applied statisticians and data scientists in a
Flexible regression and smoothing : using GAMLSS in R
โ Scribed by Mikis D. Stasinopoulos, Robert A. Rigby, Gillian Z. Heller, Vlasios Voudouris, Fernanda De Bastiani
- Publisher
- Chapman and Hall/CRC
- Year
- 2017
- Tongue
- English
- Leaves
- 572
- Series
- Chapman & Hall/CRC the R series (CRC Press)
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
This book is about learning from data using the Generalized Additive Models for Location, Scale and Shape (GAMLSS). GAMLSS extends the Generalized Linear Models (GLMs) and Generalized Additive Models (GAMs) to accommodate large complex datasets, which are increasingly prevalent. GAMLSS allows any parametric distribution for the response variable and modelling all the parameters (location, scale and shape) of the distribution as linear or smooth functions of explanatory variables. This book provides a broad overview of GAMLSS methodology and how it is implemented in R. It includes a comprehensive collection of real data examples, integrated code, and figures to illustrate the methods, and is supplemented by a website with code, data and additional materials.
โฆ Table of Contents
Content: Part I Introduction to models and packages Why GAMLSS? Introduction to the gamlss packages Part II The R implementation: algorithms and functions The Algorithms The gamlss() function Methods for fitted gamlss objects Part III Distributions The gamlss.family of distributions Finite mixture distributions Part IV Additive terms Linear parametric additive terms Additive Smoothing Terms Random effects Part V Model selection and diagnostics Model selection techniques Diagnostics Part VI Applications Centile Estimation Further Applications
โฆ Subjects
Regression analysis;Data processing;Linear models (Statistics);Smoothing (Statistics);Big data;R (Computer program language)
๐ SIMILAR VOLUMES
This textbook for a graduate level introductory course on data smoothing covers series estimators, kernel estimators, smoothing splines, and least-squares splines. The new edition deletes most of the asymptotic theory for smoothing splines and smoothing spline variants, and adds order selection for
A comprehensive introduction to a wide variety of univariate and multivariate smoothing techniques for regressionSmoothing and Regression: Approaches, Computation, and Application bridges the many gaps that exist among competing univariate and multivariate smoothing techniques. It introduces, descri