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The Shorth Plot

Author

Listed:
  • Einmahl, J.H.J.

    (Tilburg University, Center For Economic Research)

  • Gantner, M.

    (Tilburg University, Center For Economic Research)

  • Sawitzki, G.

Abstract

The shorth plot is a tool to investigate probability mass concentration. It is a graphical representation of the length of the shorth, the shortest interval covering a certain fraction of the distribution, localized by forcing the intervals considered to contain a given point x. It is easy to compute, avoids bandwidth selection problems, and allows scanning for local as well as for global features of the probability distribution. The good performance of the shorth plot is demonstrated through simulations and real data examples. These data as well as an R-package for computation of the shorth plot are available online.
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Suggested Citation

  • Einmahl, J.H.J. & Gantner, M. & Sawitzki, G., 2008. "The Shorth Plot," Discussion Paper 2008-24, Tilburg University, Center for Economic Research.
    • Handle: RePEc:tiu:tiucen:10b5cfb5-c502-46dc-8e51-5481cf47f6d9
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    File URL: https://pure.uvt.nl/ws/portalfiles/portal/954560/2008-24.pdf
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    References listed on IDEAS

    as
    1. Einmahl, J. H.J. & Mason, D.M., 1992. "Generalized quantile processes," Other publications TiSEM b2a76bac-045d-457f-869f-d, Tilburg University, School of Economics and Management.
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    Citations

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    Cited by:

    1. Einmahl, John & Segers, Johan, 2020. "Empirical Tail Copulas for Functional Data," Other publications TiSEM edc722e6-cc70-4221-87a2-8, Tilburg University, School of Economics and Management.
    2. John H. J. Einmahl & Laurens Haan & Chen Zhou, 2016. "Statistics of heteroscedastic extremes," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 78(1), pages 31-51, January.
    3. Aigner, Maximilian & Chavez-Demoulin, Valérie & Guillou, Armelle, 2022. "Measuring and comparing risks of different types," Insurance: Mathematics and Economics, Elsevier, vol. 102(C), pages 1-21.

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    More about this item

    Keywords

    Data analysis; distribution diagnostics; functional central limit theorem; probability mass concentration;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General

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