Double Generalized Linear Models
eBook - ePub

Double Generalized Linear Models

Likelihood and Bayesian Methods

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Double Generalized Linear Models

Likelihood and Bayesian Methods

About this book

This book provides an introduction to double generalized linear models (DGLMs) under frequentist and Bayesian frameworks. These models include the class of generalized linear models and compose a unified class of models, where appropriate functions of the mean and dispersion parameters follow linear regression structures that are linear combinations of the explanatory variables. The heteroscedastic normal linear regression models, gamma regression models (where both mean and shape have regression structures), and beta regression models (where both mean and dispersion have regression structures) are examples of this family of regression models. A central topic in the framework of DGLMs is count overdispersion regression models, specifically those associated with the Poisson and binomial distributions. An extension of double generalized linear models is the family of double generalized nonlinear models.

Features:

  • Covers generalized linear models and double generalized linear models under frequentist and Bayesian approaches
  • Presents normal heteroscedastic linear regression models as an introduction to double generalized linear models
  • Defines double generalized linear regression models under frequentist and Bayesian perspectives, including as examples the beta and the gamma regression models
  • Presents models with overdispersion along with frequentist and Bayesian estimation methods

The book is primarily aimed at researchers and graduate students of statistics and mathematics.

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Information

Table of contents

  1. Cover Page
  2. Half-Title Page
  3. Title Page
  4. Copyright Page
  5. Dedication Page
  6. Contents
  7. Preface
  8. Author
  9. 1 Introduction
  10. 2 Generalized Linear Models
  11. 3 Heteroscedastic Normal Regression Models
  12. 4 Double Generalized Linear Models
  13. 5 Overdispersed Models
  14. 6 Double generalized nonlinear regression models
  15. Bibliography
  16. Index

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Yes, you can access Double Generalized Linear Models by Edilberto Cepeda-Cuervo in PDF and/or ePUB format. We have over one million books available in our catalogue for you to explore.