Strong approximation for RCA(1) time series with applications
In this paper, we derive a strong invariance principle for the partial sums of RCA(1) random variables. An application yields asymptotic tests for a change in the mean of the observations both for sequential and a posteriori procedures based on CUSUMs.
Volume (Year): 68 (2004)
Issue (Month): 4 (July)
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- Aue, Alexander & Horváth, Lajos, 2004. "Delay time in sequential detection of change," Statistics & Probability Letters, Elsevier, vol. 67(3), pages 221-231, April.
- Chu, Chia-Shang James & Stinchcombe, Maxwell & White, Halbert, 1996. "Monitoring Structural Change," Econometrica, Econometric Society, vol. 64(5), pages 1045-65, September.
- Lajos Horváth, 1997. "Detection of Changes in Linear Sequences," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 49(2), pages 271-283, June.
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