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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.
This text investigates the efficacy of state space methods as a flexible alternative to traditional ARIMA systems for modeling complex time series data. The authors, James Durbin and Siem Jan Koopman, leverage their extensive expertise in statistical theory to present a framework where observations are decomposed into distinct components such as trend, seasonality, and regression elements. By providing both analytical solutions for linear models and simulation-based methods for nonlinear or non-Gaussian scenarios, the book establishes a comprehensive methodology for modern statistical analysis.
What You Will Find
Experts frequently cite this work as a foundational text for researchers and practitioners requiring robust alternatives to standard time series modeling. Readers often note the high level of mathematical density, making it a primary resource for advanced graduate-level study and professional statistical application.
Page Count:
368
Publication Date:
2012-07-05
Publisher:
Oxford University Press
ISBN-10:
019964117X
ISBN-13:
9780199641178
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