Peter J. Brockwell's Books

Introduction to Time Series and Forecasting

By: Peter J. Brockwell,Richard A. Davis

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Introduction to Time Series and Forecasting

By: Peter J. Brockwell,Richard A. Davis

Some 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.

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429

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Springer Science & Business Media

Published Date

ISBN 10

1475725264

ISBN 13

9781475725261

Time Series: Theory and Methods

By: Peter J. Brockwell,Richard A. Davis

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Time Series: Theory and Methods

By: Peter J. Brockwell,Richard A. Davis

This edition contains a large number of additions and corrections scattered throughout the text, including the incorporation of a new chapter on state-space models. The companion diskette for the IBM PC has expanded into the software package ITSM: An Interactive Time Series Modelling Package for the PC, which includes a manual and can be ordered from Springer-Verlag. * We are indebted to many readers who have used the book and programs and made suggestions for improvements. Unfortunately there is not enough space to acknowledge all who have contributed in this way; however, special mention must be made of our prize-winning fault-finders, Sid Resnick and F. Pukelsheim. Special mention should also be made of Anthony Brockwell, whose advice and support on computing matters was invaluable in the preparation of the new diskettes. We have been fortunate to work on the new edition in the excellent environments provided by the University of Melbourne and Colorado State University. We thank Duane Boes particularly for his support and encouragement throughout, and the Australian Research Council and National Science Foundation for their support of research related to the new material. We are also indebted to Springer-Verlag for their constant support and assistance in preparing the second edition. Fort Collins, Colorado P. J. BROCKWELL November, 1990 R. A. DAVIS * /TSM: An Interactive Time Series Modelling Package for the PC by P. J. Brockwell and R. A. Davis. ISBN: 0-387-97482-2; 1991.

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591

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Springer Science & Business Media

Published Date

ISBN 10

1441903208

ISBN 13

9781441903204

Continuous-Parameter Time Series

By: Peter J. Brockwell,Alexander M. Lindner

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Continuous-Parameter Time Series

By: Peter J. Brockwell,Alexander M. Lindner

This book provides a self-contained account of continuous-parameter time series, starting with second-order models. Integration with respect to orthogonal increment processes, spectral theory and linear prediction are treated in detail. Lévy-driven models are incorporated, extending coverage to allow for infinite variance, a variety of marginal distributions and sample paths having jumps. The necessary theory of Lévy processes and integration of deterministic functions with respect to these processes is developed at length. Special emphasis is given to the analysis of continuous-time ARMA processes.

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673

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3111325202

ISBN 13

9783111325200

ITSM: An Interactive Time Series Modelling Package for the PC

By: Peter J. Brockwell,Richard A. Davis

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ITSM: An Interactive Time Series Modelling Package for the PC

By: Peter J. Brockwell,Richard A. Davis

Designed for the analysis of linear time series and the practical modelling and prediction of data collected sequentially in time. It provides the reader with a practical understanding of the six programs contained in the ITSM software (PEST, SPEC, SMOOTH, TRANS, ARVEC, and ARAR). This IBM compatible software is included in the back of the book on two 5 1/4'' diskettes and on one 3 1/2 '' diskette. - Easy to use menu system - Accessible to those with little or no previous compu- tational experience - Valuable to students in statistics, mathematics, busi- ness, engineering, and the natural and social sciences. This package is intended as a supplement to the text by the same authors, "Time Series: Theory and Methods." It can also be used in conjunction with most undergraduate and graduate texts on time series analysis.

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113

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Springer Science & Business Media

Published Date

ISBN 10

1461231167

ISBN 13

9781461231165

ITSM for Windows

A User’s Guide to Time Series Modelling and Forecasting

By: Peter J. Brockwell,Richard A. Davis

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ITSM for Windows

A User’s Guide to Time Series Modelling and Forecasting

By: Peter J. Brockwell,Richard A. Davis

The analysis of time series data is an important aspect of data analysis across a wide range of disciplines, including statistics, mathematics, business, engineering, and the natural and social sciences. This package provides both an introduction to time series analysis and an easy-to-use version of a well-known time series computing package called Interactive Time Series Modelling. The programs in the package are intended as a supplement to the text Time Series: Theory and Methods, 2nd edition, also by Peter J. Brockwell and Richard A. Davis. Many researchers and professionals will appreciate this straightforward approach enabling them to run desk-top analyses of their time series data. Amongst the many facilities available are tools for: ARIMA modelling, smoothing, spectral estimation, multivariate autoregressive modelling, transfer-function modelling, forecasting, and long-memory modelling. This version is designed to run under Microsoft Windows 3.1 or later. It comes with two diskettes: one suitable for less powerful machines (IBM PC 286 or later with 540K available RAM and 1.1 MB of hard disk space) and one for more powerful machines (IBM PC 386 or later with 8MB of RAM and 2.6 MB of hard disk space available).

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127

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Springer

Published Date

ISBN 10

1461226767

ISBN 13

9781461226765

Introduction to Time Series and Forecasting

By: Peter J. Brockwell,Richard A. Davis

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Introduction to Time Series and Forecasting

By: Peter J. Brockwell,Richard A. Davis

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

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428

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Springer

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ISBN 10

3319298542

ISBN 13

9783319298542

Book's by Peter J. Brockwell

Introduction to Time Series and Forecasting

Introduction to Time Series and Forecasting

Time Series: Theory and Methods

Time Series: Theory and Methods

Continuous-Parameter Time Series

Continuous-Parameter Time Series

ITSM: An Interactive Time Series Modelling Package for the PC

ITSM: An Interactive Time Series Modelling Package for the PC

ITSM for Windows

ITSM for Windows

Introduction to Time Series and Forecasting

Introduction to Time Series and Forecasting

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