Introduction to Time Series and Forecasting

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).

“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)

• Introduction.- Stationary Processes.- ARMA Models.- Spectral Analysis.- Modeling and Forecasting with ARMA Processes.- Nonstationary and Seasonal Time Series Models.- Time Series Models for Financial Data.- Multivariate Time Series.- State-Space Models.- Forecasting Techniques.- Further Topics.- Appendix A: Random Variables and Probability Distributions.- Appendix B: Statistical Complements.- Appendix C: Mean Square Convergence.- Appendix D: Lévy Processes, Brownian Motion and Itô Calculus.- Appendix E: An ITSM Tutorial.- References.- Index.