Introduction to Time Series and Forecasting

Priekinis viršelis
Springer, 2016-08-19 - 425 psl.
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
 

Turinys

1 Introduction
1
2 Stationary Processes
39
3 ARMA Models
72
4 Spectral Analysis
97
5 Modeling and Forecasting with ARMA Processes
121
6 Nonstationary and Seasonal Time Series Models
156
7 Time Series Models for Financial Data
195
8 Multivariate Time Series
227
11 Further Topics
322
A Random Variables and Probability Distributions
353
B Statistical Complements
365
C Mean Square Convergence
373
D Lévy Processes Brownian Motion and Itô Calculus
375
E An ITSM Tutorial
386
References
411
Index
418

9 StateSpace Models
258
10 Forecasting Techniques
309

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Apie autorių (2016)

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).

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