Detection of multiple changes in a sequence of dependent variables
AbstractWe present some results of convergence for a minimum contrast estimator in a problem of change-points estimation. Here, we consider that the changes affect the marginal distribution of a sequence of random variables. We only consider parametric models, but the results are obtained under very general conditions. We show that the estimated configuration of changes converges to the true configuration, and we show that the rate of convergence does not depend on the dependance structure of the process: we obtain the same rate for strongly mixing and strongly dependent processes. When the number of changes is unknown, it is estimated by minimizing a penalized contrast function. Some examples of application to real data are given.
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Bibliographic InfoArticle provided by Elsevier in its journal Stochastic Processes and their Applications.
Volume (Year): 83 (1999)
Issue (Month): 1 (September)
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Web page: http://www.elsevier.com/wps/find/journaldescription.cws_home/505572/description#description
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- Yao, Yi-Ching, 1988. "Estimating the number of change-points via Schwarz' criterion," Statistics & Probability Letters, Elsevier, vol. 6(3), pages 181-189, February.
- Kim, H. J., 1994. "Likelihood Ratio and Cumulative Sum Tests for a Change-Point in Linear Regression," Journal of Multivariate Analysis, Elsevier, vol. 51(1), pages 54-70, October.
- Shi, Xiaoping & Wu, Yuehua & Miao, Baiqi, 2009. "Strong convergence rate of estimators of change point and its application," Computational Statistics & Data Analysis, Elsevier, vol. 53(4), pages 990-998, February.
- Elena Andreou, 2004.
"The Impact of Sampling Frequency and Volatility Estimators on Change-Point Tests,"
Journal of Financial Econometrics,
Society for Financial Econometrics, vol. 2(2), pages 290-318.
- Elena Andreou & Eric Ghysels, 2004. "The Impact of Sampling Frequency and Volatility Estimators on Change-Point Tests," CIRANO Working Papers 2004s-25, CIRANO.
- Chen, Shuo & Hong, Don & Shyr, Yu, 2007. "Wavelet-based procedures for proteomic mass spectrometry data processing," Computational Statistics & Data Analysis, Elsevier, vol. 52(1), pages 211-220, September.
- Surgailis, Donatas & Teyssière, Gilles & Vaiciulis, Marijus, 2008. "The increment ratio statistic," Journal of Multivariate Analysis, Elsevier, vol. 99(3), pages 510-541, March.
- Piet Jong & Sonia Mazzi, 2001. "Modeling and Smoothing Unequally Spaced Sequence Data," Statistical Inference for Stochastic Processes, Springer, vol. 4(1), pages 53-71, January.
- Kirman, Alan & Teyssiere, Gilles, 2005. "Testing for bubbles and change-points," Journal of Economic Dynamics and Control, Elsevier, vol. 29(4), pages 765-799, April.
- Gabriela Ciuperca, 2011. "Estimating nonlinear regression with and without change-points by the LAD method," Annals of the Institute of Statistical Mathematics, Springer, vol. 63(4), pages 717-743, August.
- Pan, Jianmin & Chen, Jiahua, 2006. "Application of modified information criterion to multiple change point problems," Journal of Multivariate Analysis, Elsevier, vol. 97(10), pages 2221-2241, November.
- Mohamed Boutahar & Mustapha Belkhouja, 2007. "Le Changement Structurel Dans Un Environnement Mémoire Longue," Working Papers halshs-00352610, HAL.
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