Tests for Unit Roots
A Monte Carlo Investigation
G. William Schwert
University of Rochester, Rochester, NY 14627
and National Bureau of Economic Research
Journal of Business and Economic Statistics, 7 (April 1989) 147-159
Reprinted as the lead article in the special 20th JBES Anniversary collection
of influential papers.
Recent work by Said and Dickey [1984,1985], Phillips [1987], and Phillips
and Perron [1988] examines tests for unit roots in the autoregressive part
of mixed autoregressive-integrated-moving average (ARIMA) models (tests for
stationarity). Monte Carlo experiments show that these unit root tests have
different finite sample distributions than the unit root tests developed by
Fuller [1976] and Dickey and Fuller [1979,1981] for autoregressive processes.
In particular, the tests developed by Phillips [1987] and Phillips and Perron
[1988] seem more sensitive to model misspecification than the high order autoregressive
approximation suggested by Said and Dickey [1984].
Key words: Stationarity, ARIMA, Autoregressive, Moving average, Size
JEL Classifications: C22
Cited 961 times in the SSCI and SCOPUS through 2020
© Copyright 1989, American Statistical Association
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reprint of the unit roots paper.
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JBES.
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