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Squared skewness minus kurtosis bounded by 186/125 for unimodal distributions

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  • Klaassen, Chris A. J.
  • Mokveld, Philip J.
  • van Es, Bert

Abstract

The sharp inequality for squared skewness minus kurtosis is derived for the class of unimodal distributions.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:50:y:2000:i:2:p:131-135
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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.
    2. 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.
    3. Gupta, A. K. & Móri, T. F. & Székely, G. J., 1994. "Testing for Poissonity-normality vs. other infinite divisibility," Statistics & Probability Letters, Elsevier, vol. 19(3), pages 245-248, February.
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    Cited by:

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    2. Silvano Vergura & Mario Carpentieri, 2017. "Statistics to Detect Low-Intensity Anomalies in PV Systems," Energies, MDPI, vol. 11(1), pages 1-12, December.
    3. Kerman, Sean C. & McDonald, James B., 2013. "Skewness–kurtosis bounds for the skewed generalized T and related distributions," Statistics & Probability Letters, Elsevier, vol. 83(9), pages 2129-2134.
    4. Ogasawara, Haruhiko, 2017. "Extensions of Pearson’s inequality between skewness and kurtosis to multivariate cases," Statistics & Probability Letters, Elsevier, vol. 130(C), pages 12-16.
    5. Silvano Vergura, 2018. "A Statistical Tool to Detect and Locate Abnormal Operating Conditions in Photovoltaic Systems," Sustainability, MDPI, vol. 10(3), pages 1-15, February.
    6. Silvano Vergura, 2018. "Hypothesis Tests-Based Analysis for Anomaly Detection in Photovoltaic Systems in the Absence of Environmental Parameters," Energies, MDPI, vol. 11(3), pages 1-18, February.

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