Article ID Journal Published Year Pages File Type
1153121 Statistics & Probability Letters 2009 8 Pages PDF
Abstract
This paper extends the results of M-estimation in [Koul, H.L., Qian, L., Surgailis, D., 2003. Asymptotics of M-estimators in two-phase linear regression models. Stochastic Processes and their Applications, 103, 123-154] to a general nonlinear random design regression model with multiple change-points at unknown times. The M-estimator of locations of breaks and of regression parameters are consistent. Convergence rate and asymptotic distribution are obtained.
Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
Authors
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