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020 _a9780387216577
_9978-0-387-21657-7
082 _a510.285
_223
100 _aBrockwell, Peter J.
_919582
245 _aIntroduction to Time Series and Forecasting
_h[electronic resource] /
_cby Peter J. Brockwell, Richard A. Davis.
250 _a2nd ed. 2002.
260 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2002.
300 _aXIV, 437 p.
_bonline resource.
505 _aStationary Processes -- ARMA Models -- Spectral Analysis -- Modeling and Forecasting with ARMA Processes -- Nonstationary and Seasonal Time Series Models -- Multivariate Time Series -- State-Space Models -- Forecasting Techniques -- Further Topics -- Erratum.
520 _aSome of the key mathematical results are stated without proof in order to make the underlying theory accessible to a wider audience. The book assumes a knowledge only of basic calculus, matrix algebra, and elementary statistics. The emphasis is on methods and the analysis of data sets. The logic and tools of model-building for stationary and nonstationary time series are developed in detail and numerous exercises, many of which make use of the included computer package, provide the reader with ample opportunity to develop skills in this area. 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. Additional topics include harmonic regression, the Burg and Hannan-Rissanen algorithms, unit roots, regression with ARMA errors, structural models, the EM algorithm, generalized state-space models with applications to time series of count data, exponential smoothing, the Holt-Winters and ARAR forecasting algorithms, transfer function models and intervention analysis. Brief introductions are also given to cointegration and to nonlinear, continuous-time and long-memory models. The time series package included in the back of the book is a slightly modified version of the package ITSM, published separately as ITSM for Windows, by Springer-Verlag, 1994. It does not handle such large data sets as ITSM for Windows, but like the latter, runs on IBM-PC compatible computers under either DOS or Windows (version 3.1 or later). The programs are all menu-driven so that the reader can immediately apply the techniques in the book to time series data, with a minimal investment of time in the computational and algorithmic aspects of the analysis.
650 _aComputer software.
_919583
650 _aProbabilities.
_919584
650 _aStatisticsĀ .
_919585
650 _aEconometrics.
_919586
650 _aMathematical Software.
_919587
650 _aProbability Theory.
_919588
650 _aStatistical Theory and Methods.
_919589
650 _aStatistics in Business, Management, Economics, Finance, Insurance.
_919590
650 _aEconometrics.
_919586
650 _aStatistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences.
_919591
700 _aDavis, Richard A.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_919592
856 _uhttps://doi.org/10.1007/b97391
942 _cEBK
999 _c13540
_d13540