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  • Textbook
  • © 2016

Introduction to Time Series and Forecasting

  • Designed for use in full-year courses introducing univariate and multivariate time series and forecasting at the advanced undergraduate and graduate levels
  • Exercise problems at the end of each chapter reinforce the methods through use of the programs to study provided data sets
  • Appendix teaches ITSM2000 Professional package (available as a free download); all material is easily applied to R packages and other programs
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Texts in Statistics (STS)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xiv
  2. Introduction

    • Peter J. Brockwell, Richard A. Davis
    Pages 1-37
  3. Stationary Processes

    • Peter J. Brockwell, Richard A. Davis
    Pages 39-71
  4. ARMA Models

    • Peter J. Brockwell, Richard A. Davis
    Pages 73-96
  5. Spectral Analysis

    • Peter J. Brockwell, Richard A. Davis
    Pages 97-119
  6. Modeling and Forecasting with ARMA Processes

    • Peter J. Brockwell, Richard A. Davis
    Pages 121-155
  7. Nonstationary and Seasonal Time Series Models

    • Peter J. Brockwell, Richard A. Davis
    Pages 157-193
  8. Time Series Models for Financial Data

    • Peter J. Brockwell, Richard A. Davis
    Pages 195-226
  9. Multivariate Time Series

    • Peter J. Brockwell, Richard A. Davis
    Pages 227-257
  10. State-Space Models

    • Peter J. Brockwell, Richard A. Davis
    Pages 259-307
  11. Forecasting Techniques

    • Peter J. Brockwell, Richard A. Davis
    Pages 309-321
  12. Further Topics

    • Peter J. Brockwell, Richard A. Davis
    Pages 323-351
  13. Back Matter

    Pages 353-425

About this book

This book is aimed at the reader who wishes to gain a working knowledge of time series and forecasting methods as applied to economics, engineering and the natural and social sciences. It assumes knowledge only of basic calculus, matrix algebra and elementary statistics.  This third edition contains detailed instructions for the use of the professional version of the Windows-based computer package ITSM2000, now available as a free download from the Springer Extras website. The logic and tools of time series model-building are developed in detail. Numerous exercises are included and the software can be used to analyze and forecast data sets of the user's own choosing. The book can also be used in conjunction with other time series packages such as those included in R. The programs in ITSM2000 however are menu-driven and can be used with minimal investment of time in the computational details.


The core of the book covers stationary processes, ARMA and ARIMA processes, multivariate time series and state-space models, with an optional chapter on spectral analysis. Many additional special topics are also covered.



New to this edition:



  • A chapter devoted to Financial Time Series
  • Introductions to Brownian motion, Lévy processes and Itô calculus
  • An expanded section on continuous-time ARMA processes

Reviews

“This is a very well-written textbook aimed at a wide audience of readers interested in time series methodologies and their applications to various fields.” (Wilfredo Palma, Mathematical Reviews September, 2017)

Authors and Affiliations

  • Department of Statistics, Colorado State University, Fort Collins, USA

    Peter J. Brockwell

  • Department of Statistics, Columbia University, New York, USA

    Richard A. Davis

About the authors

Peter J. Brockwell and Richard A. Davis are Fellows of the American Statistical Association and the Institute of Mathematical Statistics and elected members of the International Statistics institute. Richard A. Davis is the current President of the Institute of Mathematical Statistics and, with W.T.M. Dunsmuir, winner of the Koopmans Prize. Professors Brockwell and Davis are coauthors of the widely used advanced text, Time Series: Theory and Methods, Second Edition (Springer-Verlag, 1991).


Bibliographic Information

Buy it now

Buying options

eBook USD 79.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 99.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access