On the efficiency of Gini's mean difference

Carina Gerstenberger (Corresponding Author), Daniel Vogel

Research output: Contribution to journalArticlepeer-review

29 Citations (Scopus)
4 Downloads (Pure)


We examine the efficiency of the mean deviation and Gini's mean difference (the mean of all pairwise distances). Our findings support the viewpoint that Gini's mean difference combines the advantages of the mean deviation and the standard deviation.
Original languageEnglish
Pages (from-to)569-596
Number of pages28
JournalStatistical Methods & Applications
Issue number4
Early online date7 May 2015
Publication statusPublished - Nov 2015

Bibliographical note

18 pages, 3 figures, 8 tables

We are indebted to Herold Dehling for introducing us to the theory of U-statistics, to Roland Fried for introducing us to robust statistics, and to Alexander Dürre, who has demonstrated the benefit of complex analysis for solving statistical problems. Both authors were supported in part by the Collaborative Research Centre 823 Statistical modelling of nonlinear dynamic processes.


  • math.ST
  • stat.TH
  • 62G35, 62G05, 62G20
  • influence function
  • mean deviation
  • median absolute deviation
  • normal mixture distribution
  • residue theorem
  • robustness


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