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Titlebook: Elements of Multivariate Time Series Analysis; Gregory C. Reinsel Textbook 19931st edition Springer-Verlag New York, Inc. 1993 Likelihood.

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0172-7397 gh the methods are rather well developed and understood for univarjate time series analysis, the situation is not so complete for the multivariate case. This book is designed to introduce the basic concepts and methods that are useful in the analysis and modeling of multivariate time series, with il
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Mario Ledda,Antonella Lisi,Alberto Giorierties of least squares estimates for vector AR models are discussed. Additional methods for initial specification and selection of an appropriate ARMA model, including the use of canonical correlation methods and information-theoretic model selection criteria such as AIC and BIC, are also explored.
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Vector ARMA Time Series Models and Forecasting,sentations is given. Nonstationary ARMA processes are also considered, and the concept of cointegration among the component series of a nonstationary process is introduced. Forecasting of vector ARMA models, including computation of forecasts and mean squared error matrix of the forecast errors, is presented.
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State-Space Models, Kalman Filtering, and Related Topics,indices and McMillan degree of a process will also be discussed. The use of the state-space formulation for construction of the exact likelihood function for the vector ARMA model will be presented also. In addition, discussion of results for the classical approach to smoothing and filtering of time series will be presented.
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Vector Time Series and Model Representations,may be interested in the variations of interest rates, money supply, unemployment, and so on, or in sales volume, prices, and advertising expenditures for a particular commodity in a business context.
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Initial Model Building and Least Squares Estimation for Vector AR Models,erties of least squares estimates for vector AR models are discussed. Additional methods for initial specification and selection of an appropriate ARMA model, including the use of canonical correlation methods and information-theoretic model selection criteria such as AIC and BIC, are also explored.
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