RT info:eu-repo/semantics/bookPart
T1 Multidistances and Dispersion Measures
A1 Martínez Panero, Miguel
A1 García Lapresta, José Luis
A1 Meneses Poncio, Luis Carlos
K1 Dispersión (Matemáticas)
AB In this paper, we provide a formal notion of absolute dispersion measure thatis satisfied by some classical dispersion measures used in Statistics, such as therange, the variance, the mean deviation and the standard deviation, among others,and also by the absolute Gini index, used in Welfare Economics for measuringinequality. The notion of absolute dispersion measure shares some propertieswith the notion of multidistance introduced and analyzed by Mart´ın andMayor in several recent papers. We compare absolute dispersion measures andmultidistances and we establish that these two notions are compatible by showingsome functions that are simultaneously absolute dispersion measures andmultidistances. We also establish that remainders obtained through the dual decompositionof exponential means, introduced by Garc´ıa-Lapresta and MarquesPereira, are absolute dispersion measures up to sign
SN 978-3-319-30421-2
YR 2016
FD 2016
LK http://uvadoc.uva.es/handle/10324/21501
UL http://uvadoc.uva.es/handle/10324/21501
LA eng
NO Tomasa Calvo Sánchez, Joan Torrens Sastre (Editors). Fuzzy Logic and Information Fusion, 2016, Springer, p. 123-134 (Studies in Fuzziness and Soft Computing)
NO Producción Científica
DS UVaDOC
RD 22-nov-2024