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Approximations of weighted empirical and quantile processes

Author

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  • Csörgóo, Miklós
  • Horváth, Lajos

Abstract

We give a simple and direct proof for weighted approximations of empirical and quantile processes in terms of the same sequence of Brownian bridges.

Suggested Citation

  • Csörgóo, Miklós & Horváth, Lajos, 1986. "Approximations of weighted empirical and quantile processes," Statistics & Probability Letters, Elsevier, vol. 4(6), pages 275-280, October.
    • Handle: RePEc:eee:stapro:v:4:y:1986:i:6:p:275-280
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    Citations

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    Cited by:

    1. de Haan, L. & Pereira, T. Themido, 1999. "Estimating the index of a stable distribution," Statistics & Probability Letters, Elsevier, vol. 41(1), pages 39-55, January.
    2. Leonard, Tom, 1996. "On exchangeable sampling distributions for uncontrolled data," Statistics & Probability Letters, Elsevier, vol. 26(1), pages 1-6, January.
    3. Beirlant, J. & Bouquiaux, C. & Werker, B.J.M., 2006. "Semiparametric lower bounds for tail-index estimation," Other publications TiSEM 4f434455-72a7-4b68-b972-d, Tilburg University, School of Economics and Management.
    4. Lan Xue & Jing Wang, 2010. "Distribution function estimation by constrained polynomial spline regression," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 22(4), pages 443-457.

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