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Robust Cointegration Testing in the Presence of Weak Trends, with an Application to the Human Origin of Global Warming

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  • Guillaume Chevillon

    (ESSEC Business School)

Abstract

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 Demetrescu et al. (2009) 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 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.

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  • Guillaume Chevillon, 2013. "Robust Cointegration Testing in the Presence of Weak Trends, with an Application to the Human Origin of Global Warming," Working Papers hal-00914830, HAL.
    • Handle: RePEc:hal:wpaper:hal-00914830
    Note: View the original document on HAL open archive server: https://essec.hal.science/hal-00914830
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    More about this item

    Keywords

    Cointegration; Deterministic Trend; Global Warming; Likelihood Ratio; Local Trends;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models

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