A note on the properties of some time varying bilinear models
In this note, a sufficient condition is given for the existence and uniqueness of a stable causal solution for bilinear time series with time-varying coefficients; also some conditions for invertibility and the optimal prediction procedure are given. The notions of controllability, observability and minimality are discussed.
Year of publication: |
2002
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Authors: | Bibi, Abdelouahab ; Oyet, Alwell J. |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 58.2002, 4, p. 399-411
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Publisher: |
Elsevier |
Keywords: | Time-varying bilinear models Quasi-stationary processes Causality Invertibility Controllability Observability Minimality |
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