Two complementary representations of multiple time series in state-space innovations forms

Two complementary representations of multiple time series in state-space innovations forms

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Article ID: iaor19942535
Country: United Kingdom
Volume: 13
Issue: 2
Start Page Number: 69
End Page Number: 90
Publication Date: Mar 1994
Journal: International Journal of Forecasting
Authors:
Abstract:

This paper discusses two alternative innovation representations (forward and backward) of a state space model of a multivariate weakly stationary time series, and suggests estimators of system matrices and innovation noise covariances which are alternative to these based on stochastic realization theory. A scheme for iterative improvements of the initial estimates is also suggested.

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