000 02514 a2200253 4500
003 OSt
005 20210706103132.0
008 210204b xxu||||| |||| 00| 0 eng d
020 _a9781475725261
040 _cIIT Kanpur
041 _aeng
082 _a519.55
_bB783i
100 _aBrockwell, Peter J.
245 _aIntroduction to time series and forecasting [Perpetual]
_cPeter J. Brockwell and Richard A. Davis,
260 _bSpringer
_c1996
_aNew York
300 _axiii, 429p
440 _aSpringer texts in statistics
520 _aSome of the key mathematical results are stated without proof in order to make the underlying theory acccessible 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 non-stationary 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 introducitons are also given to cointegration and to non-linear, 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 _aTime-series analysis
650 _aMathematical statistics
700 _aDavis, Richard A.
856 _uhttps://link.springer.com/book/10.1007/978-1-4757-2526-1
942 _cEBK
999 _c563545
_d563545