Eo, Yunjong and Morley, James C. (2008): Likelihood-Based Confidence Sets for the Timing of Structural Breaks.
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In this paper, we propose a new approach to constructing confidence sets for the timing of structural breaks. This approach involves using Markov-chain Monte Carlo methods to simulate marginal “fiducial” distributions of break dates from the likelihood function. We compare our proposed approach to asymptotic and bootstrap confidence sets and find that it performs best in terms of producing short confidence sets with accurate coverage rates. Our approach also has the advantages of i) being broadly applicable to different patterns of structural breaks, ii) being computationally efficient, and iii) requiring only the ability to evaluate the likelihood function over parameter values, thus allowing for many possible distributional assumptions for the data. In our application, we investigate the nature and timing of structural breaks in postwar U.S. Real GDP. Based on marginal fiducial distributions, we find much tighter 95% confidence sets for the timing of the so-called “Great Moderation” than has been reported in previous studies.
|Item Type:||MPRA Paper|
|Original Title:||Likelihood-Based Confidence Sets for the Timing of Structural Breaks|
|Keywords:||Fiducial Inference; Bootstrap Methods; Structural Breaks; Confidence Intervals and Sets; Coverage Accuracy and Expected Length; Markov-chain Monte Carlo;|
|Subjects:||C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C15 - Statistical Simulation Methods: General
C - Mathematical and Quantitative Methods > C2 - Single Equation Models; Single Variables > C22 - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models
|Depositing User:||Yunjong Eo|
|Date Deposited:||11. Mar 2009 02:05|
|Last Modified:||13. Apr 2014 15:24|
Andrews, D. W. K. (1993): “Tests for Parameter Instability and Structural Change with Unknown Change Point,” Econometrica, 61(4), 821–56.
Andrews, D. W. K. (2003): “Tests for Parameter Instability and Structural Change with Unknown Change Point: A Corrigendum,” Econometrica, 71(1), 395–397.
Andrews, D. W. K., and W. Ploberger (1994): “Optimal Tests When a Nuisance Parameter Is Present Only under the Alternative,” Econometrica, 62(6), 1383–1414.
Bai, J. (1997): “Estimation Of A Change Point In Multiple Regression Models,” The Review of Economics and Statistics, 79(4), 551–563.
Bai, J. (1999): “Likelihood Ratio Tests for Multiple Structural Changes,” Journal of Econometrics, 91(2), 299–323.
Bai, J., R. L. Lumsdaine, and J. H. Stock (1998): “Testing for and Dating Common Breaks in Multivariate Time Series,” Review of Economic Studies, 65(3), 395–432.
Bai, J., and P. Perron (2003): “Computation and Analysis of Multiple Structural Change Models,” Journal of Applied Econometrics, 18(1), 1–22.
Barnett, V. (1999): Comparative Statistical Inference. Wiley, 3rd edn.
Berger, J. O., B. Liseo, and R. L. Wolpert (1999): “Integrated Likelihood Methods for Eliminating Nuisance Parameters,” Statistical Science, 14(1), 1–28.
Chib, S., and E. Greenberg (1995): “Understanding the Metropolis-Hastings Algorithm,” The American Statistician, 49(4), 327–335.
Diebold, F. X., and C. Chen (1996): “Testing Structural Stability with Endogenous Breakpoint: A Size Comparison of Analytic and Bootstrap Procedures,” Journal of Econometrics, 70(1), 221–241.
Efron, B. (1979): “Bootstrap Methods: Another Look at the Jackknife,” The Annals of Statistics, 7 (1), 1–26.
Efron, B., and R. J. Tibshirani (1994): An Introduction to the Bootstrap. Chapman & Hall/CRC.
Elliott, G., and U. M¨uller (2007): “Confidence Sets for the Date of a Single Break in Linear Time Series Regressions,” Journal of Econometrics, 141, 1196–1218. 43
Fisher, R. A. (1930): “Inverse Probability,” Proceedings of the Cambridge Philosophical Society, 28, 257–261.
Fraser, D. A. S. (1961a): “The Fiducial Method and Invariance,” Biometrika, 48, 261–280.
Fraser, D. A. S. (1961b): “On Fiducial Inference,” The Annals of Mathematical Statistics, 32, 661–676.
Hannig, J. (2006): “On Fiducial Inference the good, the bad, and the ugly,” Working Paper, Colorado State University.
Kilian, L. (1999): “Finite-Sample Properites of Percentile and Percentile-t Bootstrap Confidence Intervals for Impulse Resposes,” The Review of Economics and Statistics, 81(4), 652–660.
Kim, C.-J., and C. R. Nelson (1999): “Has The U.S. Economy Become More Stable? A Bayesian Approach Based On A Markov-Switching Model Of The Business Cycle,” The Review of Economics and Statistics, 81(4), 608–616.
Levin, A. T., and J. M. Piger (2007): “Bayesian Model Selection for Structural Break Models,” Working Paper.
MacKinnon, J. G. (2002): “Bootstrap Inference in Econometrics,” Canadian Journal of Economics, 35(4), 615–645.
MacKinnon, J. G. (2006): “Bootstrap Methods in Econometrics,” The Economic Record, 82(SI), S2–S18.
McConnell, M. M., and G. Perez-Quiros (2000): “Output Fluctuations in the United States: What Has Changed since the Early 1980’s?,” American Economic Review, 90(5), 1464–1476.
Perron, P. (1989): “The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis,” Econometrica, 57(6), 1361–1401.
Sensier, M., and D. van Dijk (2004): “Testing for olatility Changes in U.S. Macroeconomic Time Series,” The Review of Economics and Statistics, 86(3), 833–839.
Siegmund, D. (1988): “Confidence Set in Change-point Problems,” International Statistical Review, 56(1), 31–48.
Sims, C. A., and T. Zha (1999): “Error Bands for Impulse Responses,” Econometrica, 67(5), 1113–1156.
Stock, J. H., and M. W. Watson (1996): “Evidence on Structural Instability in Macroeconomic Time Series Relations,” Journal of Business & Economic Statistics, 14(1), 11–30.
Stock, J. H., and M. W. Watson (2002): “Has the Business Cycle Changed, and Why?,” NBER Macroeconomics Annual, 17, 159–218.
Zivot, E., and D. W. K. Andrews (1992): “Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis,” Journal of Business & Economic Statistics, 10(3), 251–70.
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Likelihood-Based Confidence Sets for the Timing of Structural Breaks. (deposited 10. Sep 2008 06:13)
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