The Gini mean difference and variance

Roberta La Haye () and Petr Zizler
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Roberta La Haye: Mount Royal University
Petr Zizler: Mount Royal University

METRON, 2019, vol. 77, issue 1, No 3, 43-52

Abstract: 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.

Keywords: Gini mean difference; Standard deviation; Variance; Gini index (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (7)

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DOI: 10.1007/s40300-019-00149-2

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