期刊
METRON-INTERNATIONAL JOURNAL OF STATISTICS
卷 77, 期 1, 页码 43-52出版社
SPRINGER-VERLAG ITALIA SRL
DOI: 10.1007/s40300-019-00149-2
关键词
Gini mean difference; Standard deviation; Variance; Gini index
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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