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040 _cIIT Kanpur
041 _aeng
082 _a519.55
_bB783t
100 _aBrockwell, Peter J.
245 _aTime series [Perpetual]
_btheory and methods
_cPeter J. Brockwell and Richard A. Davis
260 _bSpringer
_c1987
_aNew York
300 _axiv, 532p
440 _aSpringer series in statistics
520 _aWe have attempted in this book to give a systematic account of linear time series models and their application to the modelling and prediction of data collected sequentially in time. The aim is to provide specific techniques for handling data and at the same time to provide a thorough understanding of the mathematical basis for the techniques. Both time and frequency domain methods are discussed but the book is written in such a way that either approach could be emphasized. The book is intended to be a text for graduate students in statistics, mathematics, engineering, and the natural or social sciences. It has been used both at the M. S. level, emphasizing the more practical aspects of modelling, and at the Ph. D. level, where the detailed mathematical derivations of the deeper results can be included. Distinctive features of the book are the extensive use of elementary Hilbert space methods and recursive prediction techniques based on innovations, use of the exact Gaussian likelihood and AIC for inference, a thorough treatment of the asymptotic behavior of the maximum likelihood estimators of the coefficients of univariate ARMA models, extensive illustrations of the tech­ niques by means of numerical examples, and a large number of problems for the reader. The companion diskette contains programs written for the IBM PC, which can be used to apply the methods described in the text.
650 _aTime-series analysis
650 _aPrediction theory
700 _aDavis, Richard A.
856 _uhttps://link.springer.com/book/10.1007/978-1-4899-0004-3
942 _cEBK
999 _c563590
_d563590