Co-breaking: Recent advances and a synopsis of the literature

Journal of Business and Economic Statistics

Volumn 25, Issue 1, 2007, Pages 33-51

  Hendry, David F ^a   Massmann, Michael ^b  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b UNIVERSITY OF BONN   (Germany)

Author keywords

Common feature; Policy analysis; Rank test; Structural break

Indexed keywords

EID: 33846034303     PISSN: 07350015     EISSN: None     Source Type: Journal    
DOI: 10.1198/073500106000000422     Document Type: Article

References (102)

1. Anderson, T. W. (1951), "Estimating Linear Restrictions on Regression Coefficients for Multivariate Normal Distributions," The Annals of Mathematical Statistics, 22, 327-351.
2. Andreou, E., and Spanos, A. (2003), "Statistical Adequacy and the Testing of Trend versus Difference Stationarity," Econometric Reviews, 22, 217-237.
3. Arranz, M. A., and Escribano, A. (2000), "Cointegration Testing Under Structural Breaks: A Robust Extended Error Correction Model," Oxford Bulletin of Economics and Statistics, 62, 23-52.
4. Attfield. C. L. F., Demery, D., and Duck. N. W. (1995), "Estimating the UK Demand for Money Function: A Test of Two Approaches," mimeo, University of Bristol, Economics Dept.
5. Bai, J., and Perron, P. (1998), "Estimating and Testing Linear Models With Multiple Structural Changes," Econometrica, 66, 47-78.
6. Banerjee, A., Dolado, J. J., Hendry, D. F., and Smith, G. W. (1986), "Exploring Equilibrium Relationships in Econometrics Through Static Models: Some Monte Carlo Evidence," Oxford Bulletin of Economics and Statistics, 48, 253-277.
7. Banerjee, A., Hendry, D. F., and Mizon, G. E. (1996), "The Econometric Analysis of Economic Policy," Oxford Bulletin of Economics and Statistics, 58, 573-600.
8. Barrell, R. (2001), "Forecasting the World Economy," in Understanding Economic Forecasts, eds. D. F. Hendry and N. R. Ericsson, Cambridge, MA: MIT Press, pp. 149-169.
9. Bartlett, M. S. (1938), "Further Aspects of the Theory of Multiple Regression," Proceedings of the Cambridge Philosophical Society, 34, 33-40.
10. Bentolila, S., and Saint-Paul, G. (2003), "Explaining Movements in the Labour Share," Contributions to Macroeconomics, 3, issue 1, article 9.
11. Bernanke, B. S. (1986), "Alternative Explanations of the Money-Income Correlation," Carnegie-Rochester Conference Series on Public Policy, 25, 49-99.
12. Bierens, H. J. (2000), "Nonparametric Nonlinear Cotrending Analysis. With an Application to Interest and Inflation in the United States," Journal of Business & Economic Statistics, 18, 323-337.
13. Blanchard, O., and Quah, D. (1989), "The Dynamic Effects of Aggregate Demand and Supply Disturbances," American Economic Review, 79, 655-673.
14. Box. G. E. P. (1949), "A General Distribution Theory for a Class of Likelihood Criteria," Biometrika, 36, 317-346.
15. Box, G. E. P., and Tiao, G. C. (1965), "A Change in Level of a Non-Stationary Time Series," Biometrika, 52, 181-192.
16. _ (1975), "Intervention Analysis With Applications to Economic and Environmental Problems," Journal of the American Statistical Association, 70, 70-79.
17. Burns, T. (1986), "The Interpretation and Use of Economic Predictions," Proceedings of the Royal Society of London. Ser. A, 407, 103-125.
18. Chapman, D. A., and Ogaki, M. (1993), "Cotrending and the Stationarity of the Real Interest Rate," Economics Letters, 42, 133-138.
19. Clements, M. P., and Hendry, D. F. (1998), Forecasting Economic Time Series, Cambridge, U.K.: Cambridge University Press.
20. _ (1999), Forecasting Non-Stationary Economic Time Series, Cambridge, MA: MIT Press.
21. Courakis, A. S. (1978), "Serial Correlation and a Bank of England Study of the Demand for Money: An Exercise in Measurement Without Theory," Economic Journal, 88, 537-548.
22. Davidson, J. E. H., Hendry, D. F., Srba, F., and Yeo, S. (1978), "Econometric Modelling of the Aggregate Time-Series Relationship Between Consumer Expenditure and Income in the United Kingdom." Econnmic Journal. 88, 661-692.
23. DeJong, D. N., Nankervis, J. C., Savin, N. E., and Whiteman, C. H. (1992), "The Power Problems of Unit Root Tests in Time Series With Autoregressive Errors," Journal of Econometrics, 53, 323-343.
24. Dickey, D. A., and Fuller, W. A. (1979), "Distribution of the Estimators for Autoregressive Time Series With a Unit Root," Journal of the American Statistical Association, 74, 427-431.
25. _ (1981), "Likelihood Ratio Statistics for Autoregressive Time Series With a Unit Root," Econometrica, 49, 1057-1072.
26. Dixit, A. K., and Norman. V. (1980), Theory of International Trade, Cambridge. U.K.: University Press.
27. Doornik, J. A. (2001), Ox 3.0: An Object-Oriented Matrix Programming Language (4th ed.), London: Timberlake Consultants Press.
28. Doornik, J. A., and Hansen, H. (1994), "An Omnibus Test for Univariate and Multivariate Normality," mimeo, Nuffield College, University of Oxford.
29. Doornik, J. A., and Hendry, D. F. (2001), GiveWin Version 2: An Interface to Empirical Modelling, London: Timberlake Consultants Press.
30. Doornik, J. A., Hendry, D. F., and Nielsen, B. (1998), "Inference in Cointegrated Models: UK Ml Revisited," Journal of Economic Surveys, 12, 533-572.
31. Engle, R. F., and Granger, C. W. J. (1987), "Cointegration and Error Correction: Representation, Estimation and Testing," Econometrica, 55, 251-276.
32. Engle, R. F., and Hendry, D. F. (1993), "Testing Super Exogeneity and Invariance in Regression Models," Journal of Econometrics, 56, 119-139.
33. Engle, R. F., Hendry, D. F., and Richard, J.-F. (1983), "Exogeneity," Econometrica, 51, 277-304.
34. Engle, R. F., and Kozicki, S. (1993), "Testing for Common Features," Journal of Business & Economic Statistics, 11, 369-395.
35. Ericsson, N. R., Hendry, D. F., and Mizon, G. E. (1998a), "Exogeneity, Cointegration and Economic Policy Analysis." Journal of Business & Economic Statistics, 16, 370-387.
36. Ericsson, N. R., Hendry. D. F., and Prestwich, K. M. (1998b), "The Demand for Broad Money in the United Kingdom, 1878-1993," Scandinavian Journal of Economics, 100, 289-324.
37. Evans, M. D. D. (2003), "Real Risk, Inflation Risk and the Term Structure," Economic Journal, 113, 345-389.
38. Friedman, M. (1957), A Theory of the Consumption Function, Princeton, NJ: Princeton University Press.
39. Friedman, M., and Schwartz, A. J. (1982), Monetary Trends in the United States and the United Kingdom: Their Relation to Income, Prices, and Interest Rates, 1867-1975, Chicago: University of Chicago Press.
40. Gallant, A. R., and Fuller, W. A. (1973), "Fitting Segmented Polynomial Regression Models Whose Join Points Have Been Estimated," Journal of the American Statistical, Association, 68, 144-147.
41. Garcia, R. (1998), "Asymptotic Null Distribution of the Likelihood Ratio Test in Markov Switching Models," International Economic Review, 39, 763-788.
42. Garcia, R., and Perron, P. (1996), "An Analysis of the Real Interest Rate Under Regime Shifts," Review of Economics and Statistics, 78, 111-125.
43. Granger, C. W. J. (1981), "Some Properties of Time Series Data and Their Use in Econometric Model Specification," Journal of Econometrics, 16, 121-130.
44. Gregory, A. W., and Hansen, B. E. (1996), "Tests for Cointegration in Models With Regime and Trend Shifts," Oxford Bulletin of Economics and Statistics, 58, 555-560.
45. Hamilton, J. D. (1989), "A New Approach to the Estimation of Non-Stationary Economic Time Series and the Business Cycle," Econometrica, 57, 357-384.
46. Hansen, B. E. (1992), "The Likelihood-Ratio Test Under Non-Standard Conditions: Testing the Markov Switching Model of GNP," Journal of Applied Econometrics, 7, S61-S82.
47. Hansen, L. P. (1982), "Large Sample Properties of Generalised Method of Moments Estimators," Econometrica, 50, 1029-1054.
48. Hatanaka. M., and Yamada, H. (2003), Co-Trending: A Statistical System Analysis of Economic Trends, Tokyo: Springer-Verlag.
49. Hendry, D. F. (1995), Dynamic Econometrics, Oxford, U.K.: Oxford University Press.
50. _ (1996), "A Theory of Co-Breaking," mimeo, Nuffield College, University of Oxford.
51. _ (2000a), "Does Money Determine UK Inflation Over the Long Run?" in Macroeconomics and the Real World, Vol. 1: Econometric Techniques and Macroeconomics, eds. R. E. Backhouse and A. Salanti. Oxford. U.K.: Oxford University Press, pp. 85-114.
52. _ (2000b), "On Detectable and Non-Detectable Structural Change," Structural Change and Economic Dynamics, 11, 45-65.
53. _ (2001), "Modelling UK Inflation. 1875-1991," Journal of Applied Econometrics, 16, 255-275.
54. _ (2003), "Econometric Modelling in a Policy Context," mimeo, University of Oxford, Economics Dept.
55. _ (2006), "Robustifying Forecasts From Equilibrium-Correction Systems," Journal of Econometrics, 135, 399-426.
56. Hendry, D. F., and Ericsson, N. R. (1991), "Modeling the Demand for Narrow Money in the United Kingdom and the United States," European Economic Review, 35, 833-886.
57. Hendry, D. F., and Massmann, M. (1999), "Macroeconometric Forecasting and Co-Breaking," mimeo, presented at the 19th International Symposium on Forecasting, Washington, DC.
58. Hendry, D. F., and Mizon, G. E. (1978), "Serial Correlation as a Convenient Simplification, not a Nuisance: A Comment on a Study of the Demand for Money by the Bank of England," Economic Journal, 88, 549-563.
59. _ (1998), "Exogeneity, Causality, and Co-Breaking in Economic Policy Analysis of a Small Econometric Model of Money in the UK," Empirical Economics, 23, 267-294.
60. Hendry, D. F., and Santos, C. (2006), "Automatic Tests of Super Exogeneity," mimeo, University of Oxford, Economics Dept., U.K.
61. Hotelling, H. (1936), "Relations Between Two Sets of Variates," Biometrika, 28, 321-377.
62. Inoue, A. (1999), "Tests of Cointegration Rank With a Trend Break," Journal of Econometrics, 90, 215-237, 1999.
63. Johansen, S. (1988), "Statistical Analysis of Cointegrating Vectors," Journal of Economic Dynamics and Control, 12, 231-254.
64. _ (1991), "Estimation and Hypothesis Testing of Cointegrating Vectors in Gaussian Vector Autoregressive Models," Econometrica, 59, 1551-1580.
65. _ (1994), "The Role of the Constant and Linear Terms in Cointegration Analysis of Non-Stationary Variables," Econometric Reviews, 12, 205-229.
66. Johansen, S., Mosconi, R., and Nielsen, B. (2000), "Cointegration Analysis in the Presence of Structural Breaks in the Deterministic Trend," Econometrics Journal, 3, 216-249.
67. Kang, H. (1990), "Common Deterministic Trends, Common Factors and Cointegration," in Advances in Econometrics, Vol. 8: Co-Integration, Spurious Regressions, and Unit Roots, eds. T. B. Fomby and G. F. Rhodes, Greenwhich, CT: JAI Press, pp. 249-269.
68. Kim, C. J. (1994), "Dynamic Linear Models With Markov-Switching, " Journal of Econometrics, 60, 1-22.
69. Kiviet, J. F., and Phillips, G. D. A. (1992), "Exact Similar Tests for Unit Roots and Cointegration," Oxford Bulletin of Economics and Statistics, 54, 349-367.
70. Krolzig, H.-M. (1997), Markov-Switching Vector Autoregressions, Berlin: Springer-Verlag.
71. Krolzig, H.-M., and Toro, J. (2002), "Testing for Super-Exogeneity in the Presence of Common Deterministic Shifts," Annales d'Economie et de Statistique, 67/68, 41-71.
72. Lucas, R. E. (1976), "Econometric Policy Evaluation: A Critique," Carnegie-Rochester Conference Series on Public Policy, 1, 19-46.
73. Lütkepohl, H. (1993), Introduction to Multiple Time Series Analysis (2nd ed.), Berlin: Springer-Verlag.
74. Massmann, M. (2003a), "Co-Breaking: Representation, Estimation and Testing," DPhil thesis, University of Oxford, Dept. of Economics.
75. _ (2003b), "Cobra: A Package for Co-Breaking Analysis," mimeo, presented at the First OxMetrics User Conference, London.
76. Meyer, C. (2000), Matrix Analysis and Applied Linear Algebra, Philadelphia: Society for Industrial and Applied Mathematics.
77. Mizon, G. E. (1995), "Progressive Modelling of Macroeconomic Time Series: The LSE Methodology," in Macroeconometrics: Developments, Tensions, and Progress, ed. K. D. Hoover, Boston: Kluwer, chap. 4.
78. Morana, C. (2002), "Common Persistent Factors in Inflation and Excess Nominal Money Growth and a New Measure of Core Inflation," Studies in Non-linear Dynamics and Econometrics, 6, issue 3, article 3.
79. Nelson, C. R., and Plosser, C. I. (1982), "Trends and Random Walks in Macroeconomic Time Series," Journal of Monetary Economics, 10, 129-162.
80. Ng, S., and Perron, P. (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.
81. Nielsen, B., and Rahbek, A. (2000), "Similarity Issues in Cointegration Analysis," Oxford Bulletin of Economics and Statistics, 62, 5-22.
82. Ogaki, M., and Park, J. Y. (1998), "A Cointegration Approach to Estimating Preference Parameters," Journal of Econometrics, 82, 107-137.
83. Pain, N., and Britton, A. (1992), "The Recent Experience of Economic Forecasting in Britain: Some Lessons From National Institute Forecasts," Discussion Paper (New Series) 20, National Institute.
84. Perron, P. (1989), "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, 57, 1361-1401.
85. _ (1990), "Testing for a Unit Root in a Time Series With a Changing Mean," Journal of Business & Economic Statistics, 8, 153-162.
86. Phillips, P. C. B. (1991), "Optimal Inference in Cointegrated Systems," Econometrica, 59, 283-306.
87. Phillips, P. C. B., and Hansen, B. E. (1990), "Statistical Inference in Instrumental Variable Regression With I(1) Processes," Review of Economic Studies, 57, 99-125.
88. Phillips, P. C. B., and Loretan, M. (1991), "Estimating Long-Run Economic Equilibria," Review of Economic Studies, 58, 407-437.
89. Phillips, P. C. B., and Park, J. Y. (1988), "On the Formulation of Wald Tests of Non-Linear Restrictions," Econometrica, 56, 1065-1083.
90. Rao, C. R. (1951), "An Asymptotic Expansion of the Distribution of Wilk's Criterion," Bulletin of the International Statistical Institute, 33, 177-180.
91. _ (1973), Linear Statistical Inference and Its Applications, New York: Wiley.
92. Rappoport, P., and Reichlin, L. (1989), "Segmented Trends and Non-Stationary Time Series," Economic Journal, 99, 168-177.
93. Runkle, D. E. (1987), "Vector Autoregressions and Reality," Journal of Business & Economic Statistics, 5, 437-442.
94. Said, S. E., and Dickey, D. A. (1984), "Testing for Unit Roots in Autoregressive Moving Average Models of Unknown Order," Biometrika, 71, 599-608.
95. Sargan, J. D. (1958), "The Estimation of Economic Relationships Using Instrumental Variables," Econometrica, 26, 393-415.
96. _ (1984), "Wages and Prices in the United Kingdom: A Study in Econometric Methodology," in Econometric Analysis for National Economic Planning, eds. P. E. Hart, G. Mills, and J. K. Whitaker, London: Butterworths, pp. 25-63.
97. Schreiber, S. (2004), "Shifts in Equlibrium Unemployment: Macroeconomic Theory and Evidence," mimeo, University of Frankfurt, Dept. of Economics.
98. Sims, C. A. (1980), "Macroeconomics and Reality," Econometrica, 48, 1-48.
99. Stock, J. H., and Watson, M. W. (1996), "Evidence on Structural Instability in Macroeconomic Time Series Relations," Journal of Business & Economic Statistics, 14, 11-30.
100. Stolper, W., and Samuelson, P. A. (1941), "Protection and Real Wages," Review of Economic Studies, 9, 58-73.
101. Wallis, K. F. (1989), "Macroeconomic Forecasting: A Survey," Economic Journal, 99, 28-61.
102. Williams, D. (1978), "Estimating in Levels or First Differences: A Defence of the Method Used for Certain Demand-for-Money Equations," Economic Journal, 88, 564-568.