A unified approach to detecting unit root and structural break

References

• Akaike , H . 1974 . A new look at the statistical model identification . IEEE Transactions on Automatic Control , AC-19 : 716 – 23 .
   Web of Science ®Google Scholar
• Andrews , DWK . 1993 . Test for parameter instability and structural change with unknown change point . Econometrica , 61 : 821 – 56 .
   Web of Science ®Google Scholar
• Andrews , DWK and Ploberger , W . 1994 . Optimal tests when a nuisance parameter is present only under the alternative . Econometrica , 62 : 1383 – 414 .
   Web of Science ®Google Scholar
• Banerjee , A , Lumsdaine , RL and Stock , JH . 1992 . Recursive and sequential tests of the unit root and trend break hypotheses: theory and international evidence . Journal of Business and Economic Statistics , 10 : 271 – 87 .
   Web of Science ®Google Scholar
• Ben-David , D and Papell , D . 1998 . Slowdowns and meltdowns: postwar growth evidence from 74 countries . Review of Economics and Statistics , 80 : 561 – 71 .
   Web of Science ®Google Scholar
• Cragg , JG and Donald , SG . 1997 . Inferring the rank of a matrix . Journal of Econometrics , 76 : 223 – 50 .
   Web of Science ®Google Scholar
• Dickey , DA and Fuller , WA . 1979 . Distribution of the estimators for autoregressive time series with a unit root . Journal of the American Statistical Association , 74 : 427 – 31 .
   Web of Science ®Google Scholar
• Elliott , G , Rothenberg , TJ and Stock , JH . 1996 . Efficient tests for an autoregressive unit root . Econometrica , 64 : 813 – 36 .
   Web of Science ®Google Scholar
• Fukuda , K . 2005a . Detection of regime switches between stationary and nonstationary processes and economic forecasting . Journal of Forecasting , 24 : 255 – 67 .
   Web of Science ®Google Scholar
• Fukuda , K . 2005b . Unit-root detection allowing for measurement error . Statistics and Probability Letters , 74 : 373 – 7 .
   Google Scholar
• Fukuda , K . 2005c . Forecasting economic time series with measurement error . Applied Economics Letters , 12 : 923 – 7 .
   Web of Science ®Google Scholar
• Fukuda , K . 2005d . A model-selection approach to the detection of unit root and trend break . (Submitted)
   Google Scholar
• Gonzalo , J and Pitarakis , J-Y . 2002 . Estimation and model selection based inference in single and multiple threshold . Journal of Econometrics , 110 : 319 – 52 .
   Web of Science ®Google Scholar
• Hansen , B . 2001 . The new econometrics of structural change: dating breaks in US labor productivity . Journal of Economic Perspective , 15 : 117 – 28 .
   Web of Science ®Google Scholar
• Kim , T-H , Leybourne , S and Newbold , P . 2002 . Unit root tests with a break in innovation variance . Journal of Econometrics , 109 : 365 – 87 .
   Web of Science ®Google Scholar
• McConnell , MM and Perez-Quiros , G . 2000 . Output fluctuations in the United States: what has changed since the early 1980s? . American Economic Review , 90 : 1464 – 76 .
   Web of Science ®Google Scholar
• Perron , P . 1989 . The great crash, the oil-price shock and the unit-root hypothesis . Econometrica , 57 : 1361 – 402 .
   Web of Science ®Google Scholar
• Perron , P . 1997 . Further evidence on breaking trend functions in macroeconomic variables . Journal of Econometrics , 80 : 355 – 85 .
   Web of Science ®Google Scholar
• Perron , P and Vogelsang , TJ . 1992 . Nonstationarity and level shifts with an application to purchasing power parity . Journal of Business and Economic Statistics , 10 : 301 – 20 .
   Web of Science ®Google Scholar
• Perron , P and Rodriguez , G . 2003 . GLS detrending, efficient unit root tests and structural change . Journal of Econometrics , 115 : 1 – 27 .
   Web of Science ®Google Scholar
• Saikkonen , P and Lutkepohl , H . 2002 . Testing for a unit root in a time series with a level shift at unknown time . Econometric Theory , 18 : 313 – 48 .
   Web of Science ®Google Scholar
• Schwarz , G . 1978 . Estimating the dimension of a model . Annals of Statistics , 6 : 461 – 4 .
   Web of Science ®Google Scholar
• Vogelsang , T . 1997 . Wald-type tests for detecting breaks in the trend function of a dynamic time series . Econometric Theory , 13 : 818 – 49 .
   Web of Science ®Google Scholar
• Vogelsang , TJ and Perron , P . 1998 . Additional tests for a unit root allowing for a break in the trend function at unknown time . International Economic Review , 39 : 1073 – 100 .
   Web of Science ®Google Scholar
• Yao , Y-C . 1988 . Estimating the number of change-points via Schwarz’ criterion . Statistics and Probability Letters , 6 : 181 – 9 .
   Web of Science ®Google Scholar
• Zivot , E and Andrews , DWK . 1992 . Further evidence on the great crash, the oil price shock and the unit-root hypothesis . Journal of Business and Economic Statistics , 10 : 251 – 70 .
   Web of Science ®Google Scholar