2003
DOI: 10.1111/1368-423x.t01-1-00117
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Limiting behaviour of Dickey–Fuller F‐tests under the crash model alternative

Abstract: We derive the limiting behaviour of Dickey and Fuller's (1981) F-statistics when the trend-break alternative is the crash model that allows for a one time shift in the intercept. We show that both F-statistics are consistent against the crash alternative hypothesis. The power of the F-statistics in finite samples is studied and compared to that of the Dickey-Fuller (1979) statistics, namely, the pseudo t-ratio and the normalized estimator.

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Cited by 4 publications
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“…The reason is that when specifying the first or the second model, if the real model were different, the test would loose a lot of power. Instead if the model specified is the ;?>third while the real underlying model is either the first or the second one the loss of power is lesser (Sen, )…”
Section: Methodology and Datamentioning
confidence: 99%
“…The reason is that when specifying the first or the second model, if the real model were different, the test would loose a lot of power. Instead if the model specified is the ;?>third while the real underlying model is either the first or the second one the loss of power is lesser (Sen, )…”
Section: Methodology and Datamentioning
confidence: 99%