ABSTRACT

Dynamic Time Series Models using R-INLA: An Applied Perspective is the outcome of a joint effort to systematically describe the use of R-INLA for analysing time series and showcasing the code and description by several examples. This book introduces the underpinnings of R-INLA and the tools needed for modelling different types of time series using an approximate Bayesian framework.

The book is an ideal reference for statisticians and scientists who work with time series data. It provides an excellent resource for teaching a course on Bayesian analysis using state space models for time series.

Key Features:

  • Introduction and overview of R-INLA for time series analysis.
  • Gaussian and non-Gaussian state space models for time series.
  • State space models for time series with exogenous predictors.
  • Hierarchical models for a potentially large set of time series.
  • Dynamic modelling of stochastic volatility and spatio-temporal dependence.

chapter Chapter 1|16 pages

Bayesian Analysis

chapter Chapter 2|12 pages

A Review of INLA

chapter Chapter 3|50 pages

Details of R-INLA for Time Series

chapter Chapter 4|16 pages

Modeling Univariate Time Series

chapter Chapter 5|16 pages

Time Series Regression Models

chapter Chapter 7|18 pages

Non-Gaussian Continuous Responses

chapter Chapter 8|24 pages

Modeling Categorical Time Series

chapter Chapter 9|24 pages

Modeling Count Time Series

chapter Chapter 10|8 pages

Modeling Stochastic Volatility

chapter Chapter 11|12 pages

Spatio-temporal Modeling

chapter Chapter 12|26 pages

Multivariate Gaussian Dynamic Modeling

chapter Chapter 13|18 pages

Hierarchical Multivariate Time Series

chapter Chapter 14|12 pages

Resources for the User