info:eu-repo/semantics/article
Nonparametric statistics of dynamic networks with distinguishable nodes
Fecha
2017-09Registro en:
Fraiman Borrazás, Daniel Edmundo; Fraiman, Nicolas; Fraiman, Ricardo; Nonparametric statistics of dynamic networks with distinguishable nodes; Springer; Test; 26; 3; 9-2017; 546-573
1133-0686
1863-8260
CONICET Digital
CONICET
Autor
Fraiman Borrazás, Daniel Edmundo
Fraiman, Nicolas
Fraiman, Ricardo
Resumen
The study of random graphs and networks had an explosive development in the last couple of decades. Meanwhile, techniques for the statistical analysis of sequences of networks were less developed. In this paper, we focus on networks sequences with a fixed number of labeled nodes and study some statistical problems in a nonparametric framework. We introduce natural notions of center and a depth function for networks that evolve in time. We develop several statistical techniques including testing, supervised and unsupervised classification, and some notions of principal component sets in the space of networks. Some examples and asymptotic results are given, as well as two real data examples.