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On the distribution of the clipping median under a mixture model

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  • Steland, Ansgar
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    Abstract

    Motivated by applications in image processing, quality control, and econometrics we derive the exact distribution function of the clipping median estimator which is designed to provide simultaneously robust smooth and jump-preserving reconstructions. We allow for a mixture model which is of special interest for applications in pixel-wise object detection. To construct statistical tests for pixel classification, we propose to rely on estimated p-values. Simulations suggest that the resulting approximations are reliable.

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    File URL: http://www.sciencedirect.com/science/article/B6V1D-4DSPVPV-1/2/32689e9d812ecf55677c654fc4a2ce4e
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    Bibliographic Info

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

    Volume (Year): 71 (2005)
    Issue (Month): 1 (January)
    Pages: 1-13

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    Handle: RePEc:eee:stapro:v:71:y:2005:i:1:p:1-13

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    Related research

    Keywords: Change point Econometrics Nonparametric regression Image processing Jump-preserving estimation Edge detection Robust statistics;

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    1. Ansgar Steland, 2004. "Sequential control of time series by functionals of kernal-weighted empirical processes under local alternatives," Metrika, Springer, vol. 60(3), pages 229-249, November.
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