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武汉大学学报 英文版 | Wuhan University Journal of Natural Sciences
Wan Fang
CNKI
CSCD
Wuhan University
Latest Article
Asymptotic and Bootstrap Tests for a Sequential Change-Point of Panel
Time:2019-8-28  
CHEN Zhuoheng1 , HU Yijun2
1. School of Mathematical Science, Huaqiao University, Quanzhou 362021, Fujian, China; 2. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei, China
Abstract:
We design monitoring procedures for the common change-point in a sequential panel data model. An asymptotic method and two new bootstrap methods are proposed to obtain critical values. We establish the asymptotic validity of the proposed bootstrap proce-dures. In simulation studies the empirical test size and the empirical test power values are investigated to show that the three tests are valid and have their own applications. At the same time, the estimations of an unknown change-point are obtained by using the proposed test statistic with these three methods.
Key words:change-point; bootstrap; panel data; cumulative sum estimator; mean shift
CLC number:O 212.4
References:
[1]	Chu C S J, Stinchcombe M, White H. Monitoring structural change[J]. Econometrica, 1996, 64(5): 1045-1065.
[2]	Horváth L, Hušková M, Kokoszka P, et al. Monitoring changes in linear models[J]. Journal of Statistical Planning and Inference, 2004, 126(1): 225-251.
[3]	Aue A, Berkes I, Horváth L. Strong approximation for the sums of squares of augmented GARCH sequences[J]. Ber-noulli, 2006, 12: 583-608.
[4]	Aue A, Gabrys R, Horváth L, et al. Estimation of a change-point in the mean function of functional data[J]. Journal of Multivariate Analysis, 2009, 100(10): 2254-2269.
[5]	Aue A, Horváth L, Reimherr M. Delay times of sequential procedures for multiple time series regression models[J]. Journal of Econometrics, 2009, 149(2): 174-190.
[6]	Gombay E, Serban D. Monitoring parameter change in AR(p) time series models[J]. Journal of Multivariate Analysis, 2009, 100: 715-25.
[7]	Hušková M, Kirch C. Bootstrapping sequential change-point tests for linear regression[J]. Metrika, 2012, 75(5):673-708.
[8]	Berkes I, Gombay E, Horváth L, et al. Sequential change-point detection in GARCH(p, q) models[J]. Econo-metric Theory, 2004, 20: 1140-1167.
[9]	Kirch C. Bootstrapping sequential change-point tests[J]. Se-quential Analysis, 2008, 27(3): 330-349.
[10]	Ciuperca G. Two tests for sequential detection of a change-point in a nonlinear model[J]. Journal of Statistical Planning and Inference, 2013, 143(10): 1719-1743.
[11]	Bai J S. Common breaks in means and variances for panel data[J]. Journal of Econometrics, 2010, 157(1):78-92.
[12]	Chen Z H, Hu Y J. Cumulative sum estimator for change-point in panel data[J]. Statistical Papers, 2017, 58(3): 707-728.
[13]	Hušková M, Prášková Z, Steinebach J. On the detection of changes in autoregressive time series I. Asymptotics[J]. Journal of Statistical Planning and Inference, 2007, 137: 1243-1259.
[14]	Chen Z H, Hu Y J. The asymptotic method of sequential change-point in panel data[J]. Journal of Mathematics, 2018, 38(4): 731-742(Ch).
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