Non-linear Time Series : A Dynamical System Approach: A Dynamical System Approach: 6 - Brossura

Tong, Howell

Brossura

ISBN 10: 0198523009 ISBN 13: 9780198523000

Casa editrice: OUP Oxford, 1993

Riassunto

The analysis of time series data has for many years been a central component of statistical research and practice and the theory of linear time series is now well-established. However, the theory of non-linear time series is still a rapidly developing subject. This book is an introduction to some of these developments and the present state of research.

It is a theme of this book that developments in the study of dynamical systems have motivated many of the advances covered here. Consequently, Professor Tong discusses in some detail the fundamental concepts of dynamical systems theory such as limit cycles, Lyapunov exponents, thresholds, and stability, and demonstrates their role in the analysis of non-linear time series.

The result is a book which provides the first accessible and comprehensive account of these exciting new developments and bridges the gap between linear and chaotic time series analysis. Both statisticians and dynamical system theorists will benefit from this account of the interplay between their subjects and the author has included discussions of many of the outstanding open problems which remain.

As a companion to this book, a microcomputer software package is available for the testing for nonlinearity and the fitting of threshold autoregressive models. For more information, please contact the author.

Su questo libro

Recensione

No time series specialist can be without this book. (Short Book Reviews)

Contenuti

• Preface
• Acknowlegement
• Introduction
• 1: An introduction to dynamical systems
• 2: Some non-linear time series models
• 3: Probability structure
• 4: Statistical aspects
• 5: Non-linear least-squares prediction based on non-linear models
• 6: Case studies

Dettagli dell?edizione

• Editore: OUP Oxford
• Data di pubblicazione: 1993
• Lingua: Inglese
• ISBN 10: 0198523009
• ISBN 13: 9780198523000
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 584
• Contatto del produttore: non disponibile