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Robust cointegration testing in the presence of weak trends, with an application to the human origin of global warming. (English) Zbl 1524.62420

Summary: Standard tests for the rank of cointegration of a vector autoregressive process present distributions that are affected by the presence of deterministic trends. We consider the recent approach of M. Demetrescu et al. [Econom. J. 12, No. 3, 414–435 (2009; Zbl 1178.62095)] who recommend testing a composite null. We assess this methodology in the presence of trends (linear or broken) whose magnitude is small enough not to be always detectable at conventional significance levels. We model them using local asymptotics and derive the properties of the test statistics. We show that whether the trend is orthogonal to the cointegrating vector has a major impact on the distributions but that the test combination approach remains valid. We apply of the methodology to the study of cointegration properties between global temperatures and the radiative forcing of human gas emissions. We find new evidence of Granger Causality.

MSC:

62M10 Time series, auto-correlation, regression, etc. in statistics (GARCH)
62F03 Parametric hypothesis testing
62P20 Applications of statistics to economics

Citations:

Zbl 1178.62095

Software:

PcGive; Ox
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Full Text: DOI Link

References:

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