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On sequential detection of parameter changes in linear regression

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Author Info

  • Horváth, Lajos
  • Kokoszka, Piotr
  • Steinebach, Josef

Abstract

Horvath et al. [2004. Monitoring changes in linear models. J. Statist. Plann. Inference 126, 225-251] developed a family of monitoring procedures to detect a change in the parameters of a linear regression model. These procedures, which are akin to the schemes proposed by Chu et al. [1996. Monitoring structural change. Econometrica 64, 1045-1065], depend on a parameter . If [gamma] is close to , the detection delay is small, so it is desirable to consider the case , but an extension is not obvious. We show that it can be developed by establishing a Darling-Erdös type limit theorem.

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Bibliographic Info

Article provided by Elsevier in its journal Statistics & Probability Letters.

Volume (Year): 77 (2007)
Issue (Month): 9 (May)
Pages: 885-895

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Handle: RePEc:eee:stapro:v:77:y:2007:i:9:p:885-895

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Related research

Keywords: Darling-Erdös limit theorem Linear regression model Sequential monitoring;

References

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  1. Aue, Alexander & Horváth, Lajos, 2004. "Delay time in sequential detection of change," Statistics & Probability Letters, Elsevier, vol. 67(3), pages 221-231, April.
  2. Chu, Chia-Shang James & Stinchcombe, Maxwell & White, Halbert, 1996. "Monitoring Structural Change," Econometrica, Econometric Society, vol. 64(5), pages 1045-65, September.
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Cited by:
  1. Chen, Zhanshou & Tian, Zheng, 2010. "Modified procedures for change point monitoring in linear models," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(1), pages 62-75.

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