Willert, Juliane (2009): Mean Shift detection under long-range dependencies with ART.
Preview |
PDF
MPRA_paper_17874.pdf Download (62kB) | Preview |
Abstract
Atheoretical regression trees (ART) are applied to detect changes in the mean of a stationary long memory time series when location and number are unknown. It is shown that the BIC, which is almost always used as a pruning method, does not operate well in the long memory framework. A new method is developed to determine the number of mean shifts. A Monte Carlo Study and an application is given to show the performance of the method.
Item Type: | MPRA Paper |
---|---|
Original Title: | Mean Shift detection under long-range dependencies with ART |
Language: | English |
Keywords: | long memory, mean shift, regression tree, ART, BIC |
Subjects: | C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C14 - Semiparametric and Nonparametric Methods: General C - Mathematical and Quantitative Methods > C2 - Single Equation Models ; Single Variables > C22 - Time-Series Models ; Dynamic Quantile Regressions ; Dynamic Treatment Effect Models ; Diffusion Processes |
Item ID: | 17874 |
Depositing User: | Juliane Willert |
Date Deposited: | 16 Oct 2009 06:56 |
Last Modified: | 26 Sep 2019 23:27 |
References: | Breiman, L., Friedman, J.H., Olshen, R.A. and Stone, C.J. (1993): Classification and Regression Trees. Chapman & Hall, New York. 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 B 37, 149 - 163. Cappelli, C. and Reale, M. (2005): ''Detecting Changes in Mean Levels with Atheoretical Regression Trees.'' Research Report UCMSD 2005/2, Department of Mathematics and Statistics, University of Canterbury. Chow, G.C. (1960): ''Tests of equality between sets of coefficients in two linear regressions.'' Econometrica 28, 591 - 605. Corvoisier, S. and Mojon, B. (2005): ''Breaks in the Mean of Inflation: How they happen and what to do with them.'' ECB Working Paper No. 451. da Rosa, J.C., Veiga, A. and Medeiros, M.C. (2008): ''Tree-Structured Smooth Transition Regression Models Based on CART Algorithm.'' Journal of Computational Statistics and Data Analysis 52, 2469 - 2488. Diebold, F.X., Inoue, A. (2001): ''Long memory and regime switching.'' Journal of Econometrics 105, 131 - 159. Granger, C., Hyung, N. (1999): ''Occasional Structural Breaks and Long Memory.'' University of California, San Diego, Discussion Paper 99.14. Hsu, C.-C. (2005): ''Long memory or structural changes: An empirical examination on inflation rates.'' Economics Letters 88, 289 - 294. Kokoszka, P. and Leipus, R. (2002): ''Detection and estimation of changes in regime'' In: Long-range Dependence: Theory and Applications by P. Doukhan, G. Oppenheim and M. S. Taqqu, eds. Birkhauser, Boston, 325 - 337. Ploberger, W. and Krämer, W. (1992): ''The CUSUM test with OLS residuals.'' Econometrica 60(2), 271 - 285. R Development Core Team (2008): ''R: A language and environment for statistical computing.'' Available at www.r-project.org. Rea, W.S. (2008): ''The Application of Atheoretical Regression Trees to Problems in Time Series Analysis.'' PhD Thesis. Department of Mathematics and Statistics, University of Canterbury. Rea, W.S., Reale, M., Cappelli, C. and Brown, J.A. (2008): ''Identification of Changes in Mean with Regression Trees: An Application to Market Research.'' Econometric Reviews. forthcoming. Sibbertsen, P. (2004): ''Long-memory versus structural change: An overview.'' Statistical Papers 45, 465 - 515. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/17874 |