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Published online by Cambridge University Press: 25 November 2011
We propose a new test against a change in correlationat an unknown point in time based on cumulated sumsof empirical correlations. The test does not requirethat inputs are independent and identicallydistributed under the null. We derive its limitingnull distribution using a new functional deltamethod argument, provide a formula for its localpower for particular types of structural changes,give some Monte Carlo evidence on its finite-samplebehavior, and apply it to recent stock returns.
Financial support by DeutscheForschungsgemeinschaft (SFB 823, Statistiknichtlinearer dynamischer Prozesse) is gratefullyacknowledged. We are grateful to the co-editorBenedikt M. Pötscher, three anonymous referees,Matthias Arnold, Roland Fried, Werner Ploberger,Christoph Rothe, Tatiana Vlasenco, Daniel Vogel,and Henryk Zähle for helpful criticism andcomments.