Multivariate Time Series With Linear State Space Structure by Victor Gomez
- Multivariate Time Series With Linear State Space Structure
- Victor Gomez
- Page: 473
- Format: pdf, ePub, mobi, fb2
- ISBN: 9783319285986
- Publisher: Springer International Publishing
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This book presents a comprehensive study of multivariate time series with linear state space structure. The emphasis is put on both the clarity of the theoretical concepts and on efficient algorithms for implementing the theory. In particular, it investigates the relationship between VARMA and state space models, including canonical forms. It also highlights the relationship between Wiener-Kolmogorov and Kalman filtering both with an infinite and a finite sample. The strength of the book also lies in the numerous algorithms included for state space models that take advantage of the recursive nature of the models. Many of these algorithms can be made robust, fast, reliable and efficient. The book is accompanied by a MATLAB package called SSMMATLAB and a webpage presenting implemented algorithms with many examples and case studies. Though it lays a solid theoretical foundation, the book also focuses on practical application, and includes exercises in each chapter. It is intended for researchers and students working with linear state space models, and who are familiar with linear algebra and possess some knowledge of statistics.
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of multivariate time-series models by casting them as linear state-space models, Stata's state-space model command sspace uses two forms of the Kalman you to specify the structures of the error covariance matrices for the state and
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State Space Models (SSM) is a MATLAB toolbox for time series for univariate and multivariate models, complex time-varying (dy- mon analysis structure. SSM supports linear Gaussian state space models in the form yt.
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Time-invariant or time-varying, linear, Gaussian state-space models. Conditional Variance Models · Multivariate Models · State-Space Models State-space models specify the structure of unobserved dynamic processes, and the using time-series data, obtain filtered states, smooth states, or generate forecasts. To filter
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