@article{955ac8ba30e4462196f7f57d1d654a4e,
title = "On the efficiency of Gini's mean difference",
abstract = "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.",
keywords = "math.ST, stat.TH, 62G35, 62G05, 62G20, influence function, mean deviation, median absolute deviation, normal mixture distribution, residue theorem, robustness ",
author = "Carina Gerstenberger and Daniel Vogel",
note = "18 pages, 3 figures, 8 tables Acknowledgments 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 D{\"u}rre, 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. ",
year = "2015",
month = nov,
doi = "10.1007/s10260-015-0315-x",
language = "English",
volume = "24",
pages = "569--596",
journal = "Statistical Methods & Applications",
issn = "1618-2510",
publisher = "Physica-Verlag",
number = "4",
}