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Boswijk, H. P.; Zu, Y. (2013)
Publisher: Department of Economics, City University London
Languages: English
Types: Research
Subjects: HB

Classified by OpenAIRE into

arxiv: Statistics::Methodology
The paper generalises recent unit root tests for nonstationary volatility to a multivariate context. Persistent changes in the innovation variance matrix lead to size distortions in conventional cointegration tests, and possibilities of increased power by taking the time-varying volatilities and correlations into account. The testing procedures are based on a likelihood analysis of the vector autoregressive model with a conditional covariance matrix that may be estimated nonparametrically. We find that under suitable conditions, adaptation with respect to the volatility matrix process is possible, in the sense that nonparametric volatility estimation does not lead to a loss of asymptotic local power.

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