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K-sample subsampling in general spaces: The case of independent time series

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  • Politis, Dimitris N.
  • Romano, Joseph P.

Abstract

The problem of subsampling in two-sample and K-sample settings is addressed where both the data and the statistics of interest take values in general spaces. We focus on the case where each sample is a stationary time series, and construct subsampling confidence intervals and hypothesis tests with asymptotic validity. Some examples are also given, and the problem of optimal block size choice is discussed.

Suggested Citation

  • Politis, Dimitris N. & Romano, Joseph P., 2010. "K-sample subsampling in general spaces: The case of independent time series," Journal of Multivariate Analysis, Elsevier, vol. 101(2), pages 316-326, February.
    • Handle: RePEc:eee:jmvana:v:101:y:2010:i:2:p:316-326
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    References listed on IDEAS

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    1. Dimitris Politis & Halbert White, 2004. "Automatic Block-Length Selection for the Dependent Bootstrap," Econometric Reviews, Taylor & Francis Journals, vol. 23(1), pages 53-70.
    2. Alonso, Andres M. & Maharaj, Elizabeth A., 2006. "Comparison of time series using subsampling," Computational Statistics & Data Analysis, Elsevier, vol. 50(10), pages 2589-2599, June.
    3. Politis, Dimitris N. & Romano, Joseph P. & Wolf, Michael, 1999. "On the asymptotic theory of subsampling," DES - Working Papers. Statistics and Econometrics. WS 6334, Universidad Carlos III de Madrid. Departamento de Estadística.
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    Cited by:

    1. Paul Doukhan & Silika Prohl & Christian Robert, 2011. "Rejoinder on: Subsampling weakly dependent time series and application to extremes," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 20(3), pages 499-502, November.
    2. Carlos Velasco, 2011. "Comments on: Subsampling weakly dependent time series and application to extremes," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 20(3), pages 480-482, November.

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