Abstract
Recently, there has been an enormous amount of research in time-series econometrics, and many economics departments have required a time-series econometrics course in their graduate sequence. Obviously, one chapter on this topic will not do it justice. Therefore, this chapter will focus on some of the basic concepts needed for such a course. Section 14.2 defines what is meant by a stationary time-series, while sections 14.3 and 14.4 briefly review the Box-Jenkins and Vector Autoregression (VAR) methods for time-series analysis. Section 14.5 considers a random walk model and various tests for the existence of a unit root. Section 14.6 studies spurious regressions and trend stationary versus difference stationary models. Section 14.7 gives a simple explanation of the concept of cointegration and illustrates it with an economic example. Finally, section 14.8 looks at Autoregressive Conditionally Heteroskedastic (ARCH) time-series.
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References
This chapter draws on the material in Davidson and MacKinnon (1993), Maddala (1992), Hamilton (1994), Banerjee et al. (1993) and Gujarati (1995). Advanced readings include Fuller (1976) and Hamilton (1994). Easier readings include Mills (1990) and Enders (1995).
Banerjee, A., J.J. Dolado, J.W. Galbraith and D.F. Hendry (1993), Co-Integration, Error-Correction, and The Econometric Analysis of Non-stationary Data (Oxford University Press: Oxford).
Bierens, H.J. (2001), “Unit Roots,” Chapter 29 in B.H. Baltagi (ed.) A Companion to Theoretical Econometrics (Blackwell: Massachusetts).
Bierens, H.J. and S. Guo (1993), “Testing for Stationarity and Trend Stationarity Against the Unit Root Hypothesis,” Econometric Reviews, 12: 1–32.
Bollerslev, T. (1986), “Generalized Autoregressive Heteroskedasticity,” Journal of Econometrics, 31: 307–327.
Box, G.E.P. and G.M. Jenkins (1970), Time Series Analysis, Forecasting and Control (Holden Day: San Francisco) .
Box, G.E.P. and D.A. Pierce (1970), “The Distribution of Residual Autocorrelations in Auto-regressiveIntegrated Moving Average Time Series Models,” Journal of American Statistical Association, 65: 1509–1526.
Chamberlain, G. (1982), “The General Equivalence of Granger and Sims Causality,” Econometrica, 50: 569–582.
Davidson, R. and J.G. MacKinnon (1993), Estimation and Inference in Econometrics (Oxford University Press: Oxford) .
Dickey, D.A. and W.A. Fuller (1979), “Distribution of the Estimators for Autoregressive Time Series with A Unit Root,” Journal of the American Statistical Association, 74: 427–431.
Dolado, J.J., J. Gonzalo and F. Marmol (2001), “Cointegration,” Chapter 30 in B.H. Baltagi (ed.) A Companion to Theoretical Econometrics (Blackwell: Massachusetts).
Durlauf, S.N. and P.C.B. Phillips (1988), “Trends versus Random Walks in Time Series Analysis,” Econometrica, 56: 1333–1354.
Enders, W. (1995), Applied Econometric Time Series (Wiley: New York).
Engle, R.F. (1982), “Autogressive Conditional Heteroskedasticity with Estimates of the Variance of United Kingdom Inflation,” Econometrica, 50: 987–1007.
Engle, R.F. and C.W.J. Granger (1987), “Co-Integration and Error Correction: Representation, Estimation and Testing,” Econometrica, 55: 251–276.
Fuller, W.A. (1976), Introduction to Statistical Time Series (John Wiley and Sons: New York).
Geweke, J., R. Meese and W. Dent (1983), “Comparing Alternative Tests of Causality in Temporal Systems: Analytic Results and Experimental Evidence,” Journal of Econometrics, 21: 161–194.
Ghysels, E. and P. Perron (1993), “The Effect of Seasonal Adjustment Filters on Tests for a Unit Root,” Journal of Econometrics, 55: 57–98.
Godfrey, L.G. (1979), “Testing the Adequacy of a Time Series Model,” Biometrika, 66: 67–72.
Granger, C.W.J. (1969), “Investigating Causal Relations by Econometric Models and Cross-Spectral Methods,” Econometrica, 37: 424–438.
Granger, C.W.J. (2001), “Spurious Regressions in Econometrics,” Chapter 26 in B.H. Baltagi (ed.) A Companion to Theoretical Econometrics (Blackwell: Massachusetts).
Granger, C.W.J., M.L. King and H. White (1995), “Comments on Testing Economic Theories and the Use of Model Selection Criteria,” Journal of Econometrics, 67: 173–187.
Granger, C.W.J. and P. Newbold (1974), “Spurious Regressions in Econometrics,” Journal of Econometrics, 2: 111–120.
Gujarati, D.N. (1995), Basic Econometrics (McGraw Hill: New York).
Hamilton, J.D. (1994), Time Series Analysis (Princeton University Press: Princeton, New Jersey).
Johansen, S. (1988), “Statistical Analysis of Cointegrating Vectors,” Journal of Economic Dynamics and Control, 12: 231–254.
Judge, G.G., R.C. Hill, W.E. Griffiths, H. Lütkepohl and T.C. Lee (1985), The Theory and Practice of Econometrics (John Wiley and Sons: New York) .
Kwaitowski, D., P.C.B. Phillips, P. Schmidt and Y. Shin (1992), “Testing the Null Hypothesis of Stationarity Against the Alternative of a Unit Root,” Journal of Econometrics, 54: 159–178.
Leybourne, S.J. and B.P.M. McCabe (1994), “A Consistent Test for a Unit Root,” Journal of Business and Economic Statistics, 12: 157–166.
Litterman, R.B. (1986), “Forecasting with Bayesian Vector Autoregressions-Five Years of Experience,” Journal of Business and Economic Statistics, 4: 25–38.
Ljung, G.M. and G.E.P. Box (1978), “On a Measure of Lack of Fit in Time-Series Models,” Biometrika, 65: 297–303.
Lütkepohl, H. (2001), “Vector Autoregressions,” Chapter 32 in B.H. Baltagi (ed.) A Companion to Theoretical Econometrics (Blackwell: Massachusetts).
MacKinnon, J.G. (1991) ,”Critical Values for Cointegration Tests,” Ch. 13 in Long-Run Economic Relationships: Readings in Cointegration, eds. R.F. Engle and C.W.J. Granger (Oxford University Press: Oxford).
Maddala, G.S. (1992), Introduction to Econometrics (Macmillan: New York).
Mills, T.C. (1990), Time Series Techniques for Economists (Cambridge University Press: Cambridge).
Nelson, C.R. and C.I. Plosser (1982), “Trends and Random Walks in Macroeconomic Time Series: Some Evidence and Implications,” Journal of Monetary Economics, 10: 139–162.
Ng, S. and P. Perron (1995), “Unit Root Tests in ARMA Models With Data-Dependent Methods for the Selection of the Truncation Lag,” Journal of the American Statistical Association, 90: 268–281.
Perron, P. (1989), “The Great Cash, The Oil Price Shock, and the Unit Root Hypothesis,” Econometrica, 57: 1361–1401.
Phillips, P.C.B. (1986), “Understanding Spurious Regressions in Econometrics,” Journal of Econometrics, 33: 311–340.
Phillips, P.C.B. and P. Perron (1988), “Testing for A Unit Root in Time Series Regression,” Biometrika, 75: 335–346.
Plosser, C.I. and G.W. Shwert (1978), “Money, Income and Sunspots: Measuring Economic Relationships and the Effects of Differencing,” Journal of Monetary Economics, 4: 637–660.
Sims, C.A. (1972), “Money, Income and Causality,” American Economic Review, 62: 540–552.
Sims, C.A. (1980), “Macroeconomics and Reality,” Econometrica, 48: 1–48.
Sims, C.A., J.H. Stock and M.W. Watson (1990), “Inference in Linear Time Series Models with Some Unit Roots,” Econometrica, 58: 113–144.
Stock, J.H. and M.W. Watson (1988), “Variable Trends in Economic Time Series,” Journal of Economic Perspectives, 2: 147–174.
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Baltagi, B.H. (2002). Time-Series Analysis. In: Econometrics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04693-7_14
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DOI: https://doi.org/10.1007/978-3-662-04693-7_14
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