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Testing for Cointegration with Nonstationary Volatility

Boswijk, H. P. and Zu, Y. (2013). Testing for Cointegration with Nonstationary Volatility (Report No. 13/08). London, UK: Department of Economics, City University London.

Abstract

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.

Publication Type: Monograph (Discussion Paper)
Additional Information: © 2013 the authors.
Subjects: H Social Sciences > HB Economic Theory
Departments: School of Arts & Social Sciences > Economics > Discussion Paper Series
URI: http://openaccess.city.ac.uk/id/eprint/2922
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