Non-Gaussian Autoregressive-Type Time Series

Non-Gaussian Autoregressive-Type Time Series PDF

Author: N. Balakrishna

Publisher: Springer Nature

Published: 2022-01-27

Total Pages: 238

ISBN-13: 9811681627

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This book brings together a variety of non-Gaussian autoregressive-type models to analyze time-series data. This book collects and collates most of the available models in the field and provide their probabilistic and inferential properties. This book classifies the stationary time-series models into different groups such as linear stationary models with non-Gaussian innovations, linear stationary models with non-Gaussian marginal distributions, product autoregressive models and minification models. Even though several non-Gaussian time-series models are available in the literature, most of them are focusing on the model structure and the probabilistic properties.

Gaussian and Non-Gaussian Linear Time Series and Random Fields

Gaussian and Non-Gaussian Linear Time Series and Random Fields PDF

Author: Murray Rosenblatt

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 252

ISBN-13: 1461212626

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The principal focus here is on autoregressive moving average models and analogous random fields, with probabilistic and statistical questions also being discussed. The book contrasts Gaussian models with noncausal or noninvertible (nonminimum phase) non-Gaussian models and deals with problems of prediction and estimation. New results for nonminimum phase non-Gaussian processes are exposited and open questions are noted. Intended as a text for gradutes in statistics, mathematics, engineering, the natural sciences and economics, the only recommendation is an initial background in probability theory and statistics. Notes on background, history and open problems are given at the end of the book.

Time Series Analysis by State Space Methods

Time Series Analysis by State Space Methods PDF

Author: James Durbin

Publisher: OUP Oxford

Published: 2012-05-03

Total Pages: 369

ISBN-13: 0191627194

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This new edition updates Durbin & Koopman's important text on the state space approach to time series analysis. The distinguishing feature of state space time series models is that observations are regarded as made up of distinct components such as trend, seasonal, regression elements and disturbance terms, each of which is modelled separately. The techniques that emerge from this approach are very flexible and are capable of handling a much wider range of problems than the main analytical system currently in use for time series analysis, the Box-Jenkins ARIMA system. Additions to this second edition include the filtering of nonlinear and non-Gaussian series. Part I of the book obtains the mean and variance of the state, of a variable intended to measure the effect of an interaction and of regression coefficients, in terms of the observations. Part II extends the treatment to nonlinear and non-normal models. For these, analytical solutions are not available so methods are based on simulation.

Time Series: Theory and Methods

Time Series: Theory and Methods PDF

Author: Peter J. Brockwell

Publisher: Springer Science & Business Media

Published: 1991

Total Pages: 604

ISBN-13: 9780387974293

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Here is a systematic account of linear time series models and their application to the modeling and prediction of data collected sequentially in time. It details techniques for handling data and offers a thorough understanding of their mathematical basis.

Diagnostic Checks in Time Series

Diagnostic Checks in Time Series PDF

Author: Wai Keung Li

Publisher: CRC Press

Published: 2003-12-29

Total Pages: 211

ISBN-13: 0203485602

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Diagnostic checking is an important step in the modeling process. But while the literature on diagnostic checks is quite extensive and many texts on time series modeling are available, it still remains difficult to find a book that adequately covers methods for performing diagnostic checks. Diagnostic Checks in Time Series helps to fill that

Biometrika

Biometrika PDF

Author: D. M. Titterington

Publisher:

Published: 2001

Total Pages: 404

ISBN-13: 9780198509936

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The year 2001 marks the centenary of Biometrika, one of the world's leading academic journals in statistical theory and methodology. In celebration of this, the book brings together two sets of papers from the journal. The first are specially commissioned articles that review the history of the journal and the most important contributions made by papers in the journal to a number of important areas of statistical activity, including general theory and methodology, surveys and time sets. The second group are a selection of particularly seminal articles from the journal's first hundred years. In the process these papers give a full description of the general development of statistical science during the twentieth century.

Diagnostic Checks in Time Series

Diagnostic Checks in Time Series PDF

Author: Wai Keung Li

Publisher: CRC Press

Published: 2003-12-29

Total Pages: 216

ISBN-13: 1135441154

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Diagnostic checking is an important step in the modeling process. But while the literature on diagnostic checks is quite extensive and many texts on time series modeling are available, it still remains difficult to find a book that adequately covers methods for performing diagnostic checks. Diagnostic Checks in Time Series helps to fill that

Nonlinear Time Series Analysis

Nonlinear Time Series Analysis PDF

Author: Ruey S. Tsay

Publisher: John Wiley & Sons

Published: 2018-09-14

Total Pages: 512

ISBN-13: 1119264073

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A comprehensive resource that draws a balance between theory and applications of nonlinear time series analysis Nonlinear Time Series Analysis offers an important guide to both parametric and nonparametric methods, nonlinear state-space models, and Bayesian as well as classical approaches to nonlinear time series analysis. The authors—noted experts in the field—explore the advantages and limitations of the nonlinear models and methods and review the improvements upon linear time series models. The need for this book is based on the recent developments in nonlinear time series analysis, statistical learning, dynamic systems and advanced computational methods. Parametric and nonparametric methods and nonlinear and non-Gaussian state space models provide a much wider range of tools for time series analysis. In addition, advances in computing and data collection have made available large data sets and high-frequency data. These new data make it not only feasible, but also necessary to take into consideration the nonlinearity embedded in most real-world time series. This vital guide: • Offers research developed by leading scholars of time series analysis • Presents R commands making it possible to reproduce all the analyses included in the text • Contains real-world examples throughout the book • Recommends exercises to test understanding of material presented • Includes an instructor solutions manual and companion website Written for students, researchers, and practitioners who are interested in exploring nonlinearity in time series, Nonlinear Time Series Analysis offers a comprehensive text that explores the advantages and limitations of the nonlinear models and methods and demonstrates the improvements upon linear time series models.