RT Journal Article
T1 A generalization of local divergence measures
A1 Bertoluzza, Carlo
A1 Miranda Menéndez, Pedro
A1 Gil, Pedro
AB In this paper we propose a generalization of the concept of the local property for divergence measures. These new measures will be called g-local divergence measures, and we study some of their properties. Once this family is defined, a characterization based on Ling's theorem is given. From this result, we obtain the general form of g-local divergence measures as a function of the divergence in each element of the reference set; this study is divided in three parts according to the cardinality of the reference set: finite, infinite countable or non-countable. Finally, we study the problem of componible divergence measures as a dual concept of g-local divergence measures.
PB Elsevier Science INC
SN 0888-613X
YR 2005
FD 2005-11
LK https://hdl.handle.net/20.500.14352/50189
UL https://hdl.handle.net/20.500.14352/50189
LA eng
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NO DGES
NO Fundación Banco Herrero
NO INFM Section of Pavia
DS Docta Complutense
RD 19 may 2024