An Omnibus Test to Detect Time-Heterogeneity in Time Series
This paper focuses on a procedure to test for structural changes in the first two moments of a time series, when no information about the process driving the breaks is available. We model the series as a finite-order auto-regressive process plus an orthogonal Bernstein polynomial to capture heterogeneity. Testing for the null of time-invariance is then achieved by testing the order of the polynomial, using either an information criterion, or a restriction test. The procedure is an omnibus test in the sense that it covers both the pure discrete structural changes and some continuous changes models. To some extent, our paper can be seen as an extension of Heracleous et al. (Econom Rev 27:363-384, 2008).
|Date of creation:||Oct 2011|
|Date of revision:|
|Publication status:||Published in Documents de travail du Centre d'Economie de la Sorbonne 2010.98 - ISSN : 1955-611X - Version ori.. 2011|
|Note:||View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00560221v2|
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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.:
- Francis X. Diebold & Atsushi Inoue, 2000.
"Long Memory and Regime Switching,"
NBER Technical Working Papers
0264, National Bureau of Economic Research, Inc.
- Andreas Koutris & Maria Heracleous & Aris Spanos, 2008. "Testing for Nonstationarity Using Maximum Entropy Resampling: A Misspecification Testing Perspective," Econometric Reviews, Taylor & Francis Journals, vol. 27(4-6), pages 363-384.
- Perron, Pierre, 1989.
"The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis,"
Econometric Society, vol. 57(6), pages 1361-1401, November.
- Perron, P, 1988. "The Great Crash, The Oil Price Shock And The Unit Root Hypothesis," Papers 338, Princeton, Department of Economics - Econometric Research Program.
- Andrews, Donald W K, 1993.
"Tests for Parameter Instability and Structural Change with Unknown Change Point,"
Econometric Society, vol. 61(4), pages 821-56, July.
- Donald W.K. Andrews, 1990. "Tests for Parameter Instability and Structural Change with Unknown Change Point," Cowles Foundation Discussion Papers 943, Cowles Foundation for Research in Economics, Yale University.
- Lanouar Charfeddine & Dominique Guegan, 2007.
"Which is the best model for the US inflation rate : a structural changes model or a long memory process ?,"
Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers)
- Charfeddine Lanouar & Guégan Dominique, 2011. "Which is the Best Model for the US Inflation Rate: A Structural Change Model or a Long Memory Process?," The IUP Journal of Applied Economics, IUP Publications, vol. 0(1), pages 5-25, January.
- Dominique Guegan & Lanouar Charfeddine, 2015. "Which is the best model for the US inflation rate: a structural changes model or a long memory process," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00645841, HAL.
- Hansen, Bruce E., 2000.
"Testing for structural change in conditional models,"
Journal of Econometrics,
Elsevier, vol. 97(1), pages 93-115, July.
- Bruce E. Hansen, 1998. "Testing for Structural Change in Conditional Models," Boston College Working Papers in Economics 310., Boston College Department of Economics.
- Tom Doan, . "RATS programs to replicate structural break test with Hansen's fixed regressor bootstrap," Statistical Software Components RTZ00089, Boston College Department of Economics.
- Tom Doan, . "REGHBREAK: RATS procedure to perform structural break test with bootstrapped p-values," Statistical Software Components RTS00176, Boston College Department of Economics.
- Andrews, Donald W. K. & Lee, Inpyo & Ploberger, Werner, 1996.
"Optimal changepoint tests for normal linear regression,"
Journal of Econometrics,
Elsevier, vol. 70(1), pages 9-38, January.
- Donald W.K. Andrews & Inpyo Lee & Werner Ploberger, 1992. "Optimal Changepoint Tests for Normal Linear Regression," Cowles Foundation Discussion Papers 1016, Cowles Foundation for Research in Economics, Yale University.
- Engle, Robert F & Smith, Aaron, 1998.
"Stochastic Permanent Breaks,"
University of California at San Diego, Economics Working Paper Series
qt99v0s0zx, Department of Economics, UC San Diego.
- Catalin Starica & Clive Granger, 2004.
"Non-stationarities in stock returns,"
- Lanouar Charfeddine & Dominique Guégan, 2007. "Which is the best model for the US inflation rate : a structural changes model or a long memory," Documents de travail du Centre d'Economie de la Sorbonne b07061, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
- Bai, Jushan, 1999. "Likelihood ratio tests for multiple structural changes," Journal of Econometrics, Elsevier, vol. 91(2), pages 299-323, August.
- Hamilton, James D., 1990. "Analysis of time series subject to changes in regime," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 39-70.
- Spanos,Aris, 1999. "Probability Theory and Statistical Inference," Cambridge Books, Cambridge University Press, number 9780521424080, September.
- BAI, Jushan & PERRON, Pierre, 1998.
"Computation and Analysis of Multiple Structural-Change Models,"
Cahiers de recherche
9807, Universite de Montreal, Departement de sciences economiques.
- Jushan Bai & Pierre Perron, 2003. "Computation and analysis of multiple structural change models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(1), pages 1-22.
- Vinod, H. D., 2004. "Ranking mutual funds using unconventional utility theory and stochastic dominance," Journal of Empirical Finance, Elsevier, vol. 11(3), pages 353-377, June.
- Altissimo, Filippo & Corradi, Valentina, 2003. "Strong rules for detecting the number of breaks in a time series," Journal of Econometrics, Elsevier, vol. 117(2), pages 207-244, December.
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