Abstract

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Likelihood-Ratio-Based Confidence Sets for the Timing of Structural Breaks


Yunjong Eo


University of Sydney - School of Economics

James Morley


University of New South Wales

February 20, 2014


Abstract:     
We propose the use of likelihood-ratio-based con fidence sets for the timing of structural breaks in parameters from time series regression models. The con fidence sets are valid for the broad setting of a system of multivariate linear regression equations under fairly general assumptions about the error and regressors and allowing for multiple breaks in mean and variance parameters. In our asymptotic analysis, we determine the critical values for a likelihood ratio test of a break date and the expected length of a con fidence set constructed by inverting the likelihood ratio test. Notably, the likelihood-ratio-based con fidence sets are more precise than other con fidence sets considered in the literature. Monte Carlo analysis confi rms their greater precision in fi nite samples, including in terms of maintaining accurate coverage even when the sample size or magnitude of a break is small. An application to postwar U.S. real GDP and consumption leads to a shorter 95% confidence set for the timing of the "Great Moderation" in the mid-1980s than previously found in the literature. Furthermore, when taking cointegration between output and consumption into account, con fidence sets for structural break dates become even shorter and suggest a productivity growth slowdown" in the early 1970s and an additional large, abrupt decline in long-run growth in the mid-1990s.

Number of Pages in PDF File: 55

Keywords: Inverted Likelihood Ratio Confidence Sets, Multiple Breaks, System of Equations; Great Moderation, Productivity Growth Slowdown

JEL Classification: C22, C32, E20

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Date posted: September 11, 2008 ; Last revised: February 24, 2014

Suggested Citation

Eo, Yunjong and Morley, James, Likelihood-Ratio-Based Confidence Sets for the Timing of Structural Breaks (February 20, 2014). Available at SSRN: http://ssrn.com/abstract=1158182 or http://dx.doi.org/10.2139/ssrn.1158182

Contact Information

Yunjong Eo (Contact Author)
University of Sydney - School of Economics ( email )
Rm 370 Merewether (H04)
Merewether Bldg (H04)
Sydney, NSW 2006
Australia
James Morley
University of New South Wales ( email )
High Street
Sydney, NSW 2052
Australia
+61 2 9385 3366 (Phone)
HOME PAGE: http://sites.google.com/site/jamescmorley/

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