On time series with randomized unit root and randomized seasonal unit root

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Title: On time series with randomized unit root and randomized seasonal unit root
Authors: Fong, Pak Wing1, Li, Wai Keung hrntlwk@hku.hk
Source: Computational Statistics & Data Analysis. Jul2003, Vol. 43 Issue 3, p369. 27p.
Subjects: Time measurements, Markov processes
Abstract: A time series model with possibly a randomized unit root and a randomized seasonal unit root is considered. Two statistical tests are developed for the null hypothesis of fixed unit roots against the alternative that the roots are random and fluctuate about the value of one. The testing problem is addressed via the score test approach. The asymptotic representations of the test statistics in terms of Brownian processes are obtained. Simulations are used to tabulate finite sample critical values and to investigate empirical sizes and powers. A Markov chain Monte Carlo approach is proposed for the estimation of model parameters. Both randomized unit root and randomized seasonal unit root are demonstrated to be present in a US money supply data. [Copyright &y& Elsevier]
Copyright of Computational Statistics & Data Analysis is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: On time series with randomized unit root and randomized seasonal unit root
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  Data: <searchLink fieldCode="AR" term="%22Fong%2C+Pak+Wing%22">Fong, Pak Wing</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Li%2C+Wai+Keung%22">Li, Wai Keung</searchLink><i> hrntlwk@hku.hk</i>
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  Data: A time series model with possibly a randomized unit root and a randomized seasonal unit root is considered. Two statistical tests are developed for the null hypothesis of fixed unit roots against the alternative that the roots are random and fluctuate about the value of one. The testing problem is addressed via the score test approach. The asymptotic representations of the test statistics in terms of Brownian processes are obtained. Simulations are used to tabulate finite sample critical values and to investigate empirical sizes and powers. A Markov chain Monte Carlo approach is proposed for the estimation of model parameters. Both randomized unit root and randomized seasonal unit root are demonstrated to be present in a US money supply data. [Copyright &y& Elsevier]
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  Data: <i>Copyright of Computational Statistics & Data Analysis is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/S0167-9473(02)00298-0
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      – Code: eng
        Text: English
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        StartPage: 369
    Subjects:
      – SubjectFull: Time measurements
        Type: general
      – SubjectFull: Markov processes
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      – TitleFull: On time series with randomized unit root and randomized seasonal unit root
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            NameFull: Fong, Pak Wing
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            NameFull: Li, Wai Keung
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              Text: Jul2003
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              Y: 2003
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