English, Article, Journal or magazine article edition: An I(2) Cointegration Model with Piecewise Linear Trends: Likelihood Analysis and Application Takamitsu Kurita; Heino Bohn Nielsen; Anders Rahbek

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Bookmark: http://trove.nla.gov.au/version/76394
Physical Description
  • preprint
Language
  • English

Edition details

Title
  • An I(2) Cointegration Model with Piecewise Linear Trends: Likelihood Analysis and Application
Author
  • Takamitsu Kurita
  • Heino Bohn Nielsen
  • Anders Rahbek
Physical Description
  • preprint
Notes
  • RePEc:kud:kuiedp:0913
  • This paper presents likelihood analysis of the I(2) cointegrated vector autoregression with piecewise linear deterministic terms. Limiting behavior of the maximum likelihood estimators are derived, which is used to further derive the limiting distribution of the likelihood ratio statistic for the cointegration ranks, extending the result for I(2) models with a linear trend in Nielsen and Rahbek (2007) and for I(1) models with piecewise linear trends in Johansen, Mosconi, and Nielsen (2000). The provided asymptotic theory extends also the results in Johansen, Juselius, Frydman, and Goldberg (2009) where asymptotic inference is discussed in detail for one of the cointegration parameters. To illustrate, an empirical analysis of US consumption, income and wealth, 1965 - 2008, is performed, emphasizing the importance of a change in nominal price trends after 1980.
  • Cointegration, I(2), Piecewise linear trends, Likelihood analysis, US consumption
  • RePEc:aah:create:2009-28
Language
  • English
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