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ASYMPTOTIC BEHAVIOR OF THE CUSUM OF SQUARES TEST UNDER STOCHASTIC AND DETERMINISTIC TIME TRENDS

Published online by Cambridge University Press:  11 July 2011

Bent Nielsen  and
Jouni S. Sohkanen
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Abstract

We generalize the cumulative sum of squares (CUSQ) test to the case of nonstationary autoregressive distributed lag models with deterministic time trends. The test may be implemented with either ordinary least squares residuals or standardized forecast errors. In explosive cases the asymptotic theory applies more generally for the least squares residuals-based test. Preliminary simulations of the tests suggest a very modest difference between the tests and a very modest variation with nuisance parameters. This supports the use of the tests in explorative analysis.

Type
Brief Report
Information
Econometric Theory , Volume 27 , Issue 4 , August 2011 , pp. 913 - 927
Copyright
Copyright © Cambridge University Press 2011

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Footnotes

The authors received support from the ESRC (RES-000-27-0179 and PTA-031-2006-00174), the Open Society Institute and the Oxford Martin School. Comments from Andrew Whitby are gratefully acknowledged.

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