@article {STMAZ.06001798, author = {Jin, Hao and Tian, Zheng and Yang, Yunfeng}, title = {Modified testing for structural changes in autoregressive processes.}, year = {2011}, journal = {Journal of Mathematical Research \& Exposition}, volume = {31}, number = {1}, issn = {1000-341X}, pages = {79-90}, publisher = {Dalian University of Science and Technology, Dalian}, doi = {10.3770/j.issn:1000-341X.2011.01.009}, abstract = {Summary: We consider the problem of detecting structural changes in autoregressive processes including AR($p$) process. For performing a test, we employ the conventional residual CUSUM of squares test (RCUSQ) statistic. The RCUSQ test is based on the subsampling method introduced by {\it A. Jach} and {\it P. Kokoszka} [Methodol. Comput. Appl. Probab. 6, No. 1, 73--97 (2004; Zbl 1045.62086)]. It is shown that under regularity conditions the asymptotic distribution of the test statistic is a function of a standard Brownian bridge. Simulation results for AR(1) processes and an example of real data analysis are provided for illustration.}, msc2010 = {62M10 (62M07 65C60 62F03)}, identifier = {1233.62156}, }