Abstract
Alternative boundaries for the common Recursive (or Standard) CUSUM test and the OLS-based CUSUM test for structural change are suggested and their properties are examined by simulation of expectedp values. The poor power of the tests for early and late structural changes can be improved for the OLS-based version, whereas this weakness of the Recursive CUSUM test cannot be overcome by the new boundaries.
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Brown, R. L., Durbin, J. and Evans, J. M. (1975), “Techniques for Testing the Constancy of Regression Relationships over Time,”Journal of the Royal Statistical Society, B37, 149–163.
Durbin, J. (1971), “Boundary-Crossing Probabilities for the Brownian Motion and Poisson Process and Techniques for Computing the Power of the Kolmogorov-Smirnov Test,”Journal of Applied Probability, 8, 431–453.
Krämer, W., Ploberger, W. and Alt, R. (1988), “Testing for Structural Change in Dynamic Models,”Econometrica, 56, 1355–1369.
Krämer, W. and Schotman, P. (1992), “Range vs. Maximum in the OLS-based Version of the CUSUM Test,”Economics Letters, 40, 379–381.
Krämer, W. and Sonnberger, H. (1986),The Linear Regression Model Under Test, Heidelberg: Physica-Verlag.
Kuan, C.-M. and Hornik, K. (1995), “The Generalized Fluctuation Test: A Unifying View,”Econometric Reviews, 14, 135–161.
Ploberger, W. and Krämer, W. (1992), “The CUSUM Test With OLS Residuals,”Econometrica, 60, 271–285.
Pötzelberger, K. and Wang, L. (2001), “Boundary Crossing Probability for Brownian Motion,”Journal of Applied Probability, 38, 152–164.
Sackrowitz, H. and Samuel-Cahn, E. (1999), “P Values as Random Variables—ExpectedP Values,”The American Statistician, 53, 326–331.
Wang, L. and Pötzelberger, K. (1997), “Boundary Crossing Probability for Brownian Motion and General Boundaries,”Journal of Applied Probability, 34, 54–65.
Zeileis, A., Leisch, F., Hornik, K., and Kleiber, C. (2002), “strucchange: An R Package for Testing for Structural Change in Linear Regression Models,”Journal of Statistical Software, 7, 1–38.
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Research supported by the Austrian Science Foundation (FWF) under grant SFB#010 (‘Adaptive Information Systems and Modeling in Economics and Management Science’).
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Zeileis, A. Alternative boundaries for CUSUM tests. Statistical Papers 45, 123–131 (2004). https://doi.org/10.1007/BF02778274
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DOI: https://doi.org/10.1007/BF02778274