Artikel
Cointegration between trends and their estimators in state space models and cointegrated vector autoregressive models
A state space model with an unobserved multivariate random walk and a linear observation equation is studied. The purpose is to find out when the extracted trend cointegrates with its estimator, in the sense that a linear combination is asymptotically stationary. It is found that this result holds for the linear combination of the trend that appears in the observation equation. If identifying restrictions are imposed on either the trend or its coefficients in the linear observation equation, it is shown that there is cointegration between the identified trend and its estimator, if and only if the estimators of the coefficients in the observation equations are consistent at a faster rate than the square root of sample size. The same results are found if the observations from the state space model are analysed using a cointegrated vector autoregressive model. The findings are illustrated by a small simulation study.
- Language
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Englisch
- Bibliographic citation
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Journal: Econometrics ; ISSN: 2225-1146 ; Volume: 5 ; Year: 2017 ; Issue: 3 ; Pages: 1-46 ; Basel: MDPI
- Classification
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Wirtschaft
Multiple or Simultaneous Equation Models: Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
- Subject
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cointegration of trends
state space models
cointegrated vector autoregressive models
- Event
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Geistige Schöpfung
- (who)
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Johansen, Søren
Tabor, Morten Nyboe
- Event
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Veröffentlichung
- (who)
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MDPI
- (where)
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Basel
- (when)
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2017
- DOI
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doi:10.3390/econometrics5030036
- Handle
- Last update
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10.03.2025, 11:45 AM CET
Data provider
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
Object type
- Artikel
Associated
- Johansen, Søren
- Tabor, Morten Nyboe
- MDPI
Time of origin
- 2017
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