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Sharp inequalities between skewness and kurtosis for unimodal distributions

Author

Listed:
  • Teuscher, F.
  • Guiard, V.

Abstract

The sharp upper bound of the kurtosis [gamma]2 is derived for unimodal standardized distributions with skewness [gamma]1 and support [a, b].

Suggested Citation

  • Teuscher, F. & Guiard, V., 1995. "Sharp inequalities between skewness and kurtosis for unimodal distributions," Statistics & Probability Letters, Elsevier, vol. 22(3), pages 257-260, February.
    • Handle: RePEc:eee:stapro:v:22:y:1995:i:3:p:257-260
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    References listed on IDEAS

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    1. Rohatgi, Vijay K. & Székely, Gábor J., 1989. "Sharp inequalities between skewness and kurtosis," Statistics & Probability Letters, Elsevier, vol. 8(4), pages 297-299, September.
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    Cited by:

    1. Luigi Acerbi & Sethu Vijayakumar & Daniel M Wolpert, 2014. "On the Origins of Suboptimality in Human Probabilistic Inference," PLOS Computational Biology, Public Library of Science, vol. 10(6), pages 1-23, June.
    2. Klaassen, Chris A. J. & Mokveld, Philip J. & van Es, Bert, 2000. "Squared skewness minus kurtosis bounded by 186/125 for unimodal distributions," Statistics & Probability Letters, Elsevier, vol. 50(2), pages 131-135, November.

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