Arbeitspapier
Testing for a unit root in noncausal autoregressive models
This work develops likelihood-based unit root tests in the noncausal autoregressive (NCAR) model formulated by Lanne and Saikkonen (2011, Journal of Time Series Econometrics 3, Iss. 3, Article 2). The possible unit root is assumed to appear in the causal autoregressive polynomial and for reasons of identification the error term of the model is supposed to be non-Gaussian. In order to derive the tests, asymptotic properties of the maximum likelihood estimators are established under the unit root hypothesis. The limiting distributions of the proposed tests depend on a nuisance parameter determined by the distribution of the error term of the model. A simple procedure to handle this nuisance parameter dependence in applications is proposed. Finite sample properties of the tests are examined by means of Monte Carlo simulations. The results show that the size properties of the tests are satisfactory and the power against stationary NCAR alternatives is significantly higher than the power of conventional Dickey-Fuller tests and the M-tests of Lucas (1995, Econometric Theory 11, 331-346). In an empirical application to a Finnish interest rate series evidence in favour of a stationary NCAR model with leptokurtic errors is found.
- ISBN
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978-952-6699-45-5
- Language
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Englisch
- Bibliographic citation
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Series: Bank of Finland Research Discussion Papers ; No. 26/2013
- Classification
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Wirtschaft
- Subject
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Maximum likelihood estimation
Noncausal autoregressive model
Non-Gaussian time series
Unit root
- Event
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Geistige Schöpfung
- (who)
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Saikkonen, Pentti
Sandberg, Rickard
- Event
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Veröffentlichung
- (who)
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Bank of Finland
- (where)
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Helsinki
- (when)
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2013
- Handle
- Last update
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10.03.2025, 11:42 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
- Arbeitspapier
Associated
- Saikkonen, Pentti
- Sandberg, Rickard
- Bank of Finland
Time of origin
- 2013
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