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The Gini mean difference and variance

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Abstract

A quick, alternate proof is given for a previously known inequality relating the standard deviation and the Gini mean difference. The inequality is sharpened and generalized to higher, even moments. Further inequalities are derived that involve the standard deviation, higher Ginis and order statistics.

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Authors and Affiliations

  1. Mount Royal University, 4825 Mount Royal Gate SW, Calgary, AB, T3E 6K6, Canada

    Roberta La Haye & Petr Zizler

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  1. Roberta La Haye
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  2. Petr Zizler
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Correspondence to Roberta La Haye.

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La Haye, R., Zizler, P. The Gini mean difference and variance. METRON 77, 43–52 (2019). https://doi.org/10.1007/s40300-019-00149-2

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  • DOI: https://doi.org/10.1007/s40300-019-00149-2

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