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Strong approximation for RCA(1) time series with applications

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  • Aue, Alexander

Abstract

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.

Suggested Citation

  • Aue, Alexander, 2004. "Strong approximation for RCA(1) time series with applications," Statistics & Probability Letters, Elsevier, vol. 68(4), pages 369-382, July.
  • Handle: RePEc:eee:stapro:v:68:y:2004:i:4:p:369-382
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    References listed on IDEAS

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    1. 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.
    2. Chu, Chia-Shang James & Stinchcombe, Maxwell & White, Halbert, 1996. "Monitoring Structural Change," Econometrica, Econometric Society, vol. 64(5), pages 1045-1065, September.
    3. Aue, Alexander & Horváth, Lajos, 2004. "Delay time in sequential detection of change," Statistics & Probability Letters, Elsevier, vol. 67(3), pages 221-231, April.
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    Cited by:

    1. Mihalache, Stefan, 2012. "Strong approximations and sequential change-point analysis for diffusion processes," Statistics & Probability Letters, Elsevier, vol. 82(3), pages 464-472.
    2. Joanna Górka, 2008. "Description of the Kurtosis of Distributions by Selected Models with Sign Function," Dynamic Econometric Models, Uniwersytet Mikolaja Kopernika, vol. 8, pages 119-128.
    3. Joanna Górka, 2009. "Application of the Family of Sign RCA Models for Obtaining the Selected Risk Measures," Dynamic Econometric Models, Uniwersytet Mikolaja Kopernika, vol. 9, pages 39-50.

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