Hamori, Shigeyuki; Tokihisa, Akira Testing for a unit root in the presence of a variance shift. (English) Zbl 0903.90022 Econ. Lett. 57, No. 3, 245-253 (1997). Summary: This paper examines the effects of shifts in variance on the unit root test. The limiting distribution of the test statistic is derived, and Monte Carlo experiment evidence on the finite sample is provided. This paper shows that the limiting distribution of the standard unit root test is not invariant to changes in variances. The results are supported by Monte Carlo experiments. Cited in 36 Documents MSC: 91B82 Statistical methods; economic indices and measures Keywords:hypothesis testing; unit root test; structural break PDF BibTeX XML Cite \textit{S. Hamori} and \textit{A. Tokihisa}, Econ. Lett. 57, No. 3, 245--253 (1997; Zbl 0903.90022) Full Text: DOI References: [1] Cochran, J. H., How big is the random walk in GNP?, Journal of Political Economy, 96, 893-920 (1988) [3] Dickey, D. A.; Fuller, W. A., Distribution of the estimators for autoregressive time series with a unit root, Journal of the American Statistical Association, 74, 427-431 (1979) · Zbl 0413.62075 [4] Dickey, D. A.; Fuller, W. A., Likelihood ratio statistics for autoregressive time series with a unit root, Econometrica, 49, 1057-1072 (1981) · Zbl 0471.62090 [6] Hylleberg, S.; Engle, R. F.; Granger, C. W.J.; Yoo, B. S., Seasonal integration and cointegration, Journal of Econometrics, 44, 215-238 (1990) · Zbl 0709.62102 [7] Kim, K.; Schmidt, P., Unit root tests with conditional heteroscedasticity, Journal of Econometrics, 59, 287-300 (1993) [8] Kwiatkowski, D.; Phillips, P. C.B.; Schmidt, P.; Shin, Y., Testing the null hypothesis of stationarity against the alternative of a unit root: how sure are we that economic time series have a unit root?, Journal of Econometrics, 54, 159-178 (1992) · Zbl 0871.62100 [9] Mishkin, F. S., Does correcting for heteroscedasticity help?, Economics Letters, 34, 351-356 (1990) [10] Perron, P., The great crash, the oil price shock and the unit root hypothesis, Econometrica, 57, 1361-1401 (1989) · Zbl 0683.62066 [11] Perron, P., Testing for a unit root in a time series with a changing mean, Journal of Business & Economic Statistics, 8, 153-162 (1990) [12] Perron, P.; Vogelsang, T. J., Testing for a unit root in a time series with a changing mean: corrections and extensions, Journal of Business & Economic Statistics, 10, 467-470 (1992) [13] Phillips, P. C.B.; Perron, P., Testing for a unit root in time series regression, Biometrica, 75, 335-346 (1988) · Zbl 0644.62094 [14] Said, S. E.; Dickey, D. A., Hypothesis testing in ARIMA(p,l,q) models, Journal of the American Statistical Association, 80, 369-374 (1985) · Zbl 0573.62084 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.