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Strong Rules for Detecting the Number of Breaks in a Time Series

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Author Info
Altissimo, F.
Corradi, V.

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Abstract

This paper proposes a new approach for detecting the number of structural breaks in a time series when estimation of the breaks is performed one at the time. We consider the case of shifts in the mean of a possibly nonlinear process, allowing for dependent and heterogeneous observations. This is accomplished through a simple, sequential, almost sure rule ensuring that, in large samples, both the probabilities of overestimating and underestimating the number of breaks are zero. A new estimator for the long run variance which is consistent also in the presence of neglected breaks is proposed. The finite sample behavior is investigated via a simulation exercise. The sequential procedure, applied to the weekly Eurodollar interest rate, detects multiple breaks over the period 1973-1995.

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Publisher Info
Paper provided by University of Exeter, School of Business and Economics in its series Discussion Papers with number 00/11.

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Length: 43 pages
Date of creation: 2000
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Handle: RePEc:fth:exetec:00/11

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Related research
Keywords: TESTS TIME SERIES BEHAVIOUR

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Find related papers by JEL classification:
C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Matt Pritsker, 1997. "Nonparametric density estimation and tests of continuous time interest rate models," Finance and Economics Discussion Series 1997-26, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  2. repec:cup:etheor:v:11:y:1995:i:4:p:736-49 is not listed on IDEAS
  3. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-58, May. [Downloadable!] (restricted)
    Other versions:
  4. Robin L. Lumsdaine & David H. Papell, 1997. "Multiple Trend Breaks And The Unit-Root Hypothesis," The Review of Economics and Statistics, MIT Press, vol. 79(2), pages 212-218, May. [Downloadable!] (restricted)
  5. Perron, P, 1988. "The Great Crash, The Oil Price Shock And The Unit Root Hypothesis," Papers 338, Princeton, Department of Economics - Econometric Research Program.
    Other versions:
  6. Ait-Sahalia, Yacine, 1996. "Nonparametric Pricing of Interest Rate Derivative Securities," Econometrica, Econometric Society, vol. 64(3), pages 527-60, May. [Downloadable!] (restricted)
    Other versions:
  7. Chu, Chia-Shang James & Stinchcombe, Maxwell & White, Halbert, 1996. "Monitoring Structural Change," Econometrica, Econometric Society, vol. 64(5), pages 1045-65, September. [Downloadable!] (restricted)
  8. Zivot, Eric & Andrews, Donald W K, 1992. "Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 251-70, July.
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  9. Hendry, David F, 1997. "The Econometrics of Macroeconomic Forecasting," Economic Journal, Royal Economic Society, vol. 107(444), pages 1330-57, September. [Downloadable!] (restricted)
  10. Glenn D. Rudebusch, 1995. "Federal Reserve interest rate targeting, rational expectations, and the term structure," Working Papers in Applied Economic Theory 95-02, Federal Reserve Bank of San Francisco.
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  11. repec:cup:etheor:v:8:y:1992:i:2:p:241-57 is not listed on IDEAS
  12. Banerjee, Anindya & Lumsdaine, Robin L & Stock, James H, 1992. "Recursive and Sequential Tests of the Unit-Root and Trend-Break Hypotheses: Theory and International Evidence," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 271-87, July.
  13. Christina D. Romer & David H. Romer, 1990. "Does Monetary Policy Matter? A New Test in the Spirit of Friedman and Schwartz," NBER Working Papers 2966, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  14. Vogelsang, Timothy J, 1998. "Testing for a Shift in Mean without Having to Estimate Serial-Correlation Parameters," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(1), pages 73-80, January.
  15. M. Hashem Pesaran & Allan Timmermann, 1999. "Model Instability and Choice of Observation Window," University of California at San Diego, Economics Working Paper Series 99-19, Department of Economics, UC San Diego. [Downloadable!]
  16. repec:cup:etheor:v:13:y:1997:i:3:p:315-52 is not listed on IDEAS
  17. Jushan Bai & Pierre Perron, 1998. "Estimating and Testing Linear Models with Multiple Structural Changes," Econometrica, Econometric Society, vol. 66(1), pages 47-78, January.
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  18. Hidalgo, Javier & Robinson, Peter M., 1996. "Testing for structural change in a long-memory environment," Journal of Econometrics, Elsevier, vol. 70(1), pages 159-174, January. [Downloadable!] (restricted)
  19. Nunes, Luis C. & Newbold, Paul & Chung-Ming Kuan, 1996. "Spurious number of breaks," Economics Letters, Elsevier, vol. 50(2), pages 175-178, February. [Downloadable!] (restricted)
  20. Ait-Sahalia, Yacine, 1996. "Testing Continuous-Time Models of the Spot Interest Rate," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 9(2), pages 385-426. [Downloadable!] (restricted)
    Other versions:
  21. Bai, Jushan, 1999. "Likelihood ratio tests for multiple structural changes," Journal of Econometrics, Elsevier, vol. 91(2), pages 299-323, August. [Downloadable!] (restricted)
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Benoît Mojon, 2005. "When did unsystematic monetary policy have an effect on inflation?," Working Paper Series 559, European Central Bank. [Downloadable!]
  2. Laurent Bilke, 2005. "Break in the mean and persistence of inflation - a sectoral analysis of French CPI," Working Paper Series 463, European Central Bank. [Downloadable!]
  3. Oleg Glouchakov, 2006. "Joint change point estimation in regression coeffcients and variances of the errors of a linear model," Working Papers 2006_3, York University, Department of Economics. [Downloadable!]
  4. M. Angeles Carnero & Daniel Peña & Esther Ruiz, 2003. "Detecting Level Shifts In The Presence Of Conditional Heteroscedasticity," Statistics and Econometrics Working Papers ws036313, Universidad Carlos III, Departamento de Estadística y Econometría. [Downloadable!]
    Other versions:
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