Extreme value statistics provides accurate estimates for the small occurrence probabilities of
rare events. While theory and statistical tools for univariate extremes are well developed …

The mechanisms of network generation have undergone extensive analysis and found
broad applications in various real‐world scenarios. Among the fruitful literature on network …

A network evolution with predicted tail and extremal indices of PageRank and the Max-
Linear Model used as node influence indices in random graphs is considered. The tail index …

Reciprocity in social networks is a measure of information exchange between two
individuals, and indicates interaction patterns between pairs of users. A recent study finds …

Preferential attachment is widely used to model power-law behavior of degree distributions
in both directed and undirected networks. In a directed preferential attachment model …

Preferential attachment is widely used to model power-law behavior of degree distributions
in both directed and undirected networks. Statistical estimates of the tail exponent of the …

Let $\mathbf {X}(n)\in\mathbb {R}^ d $ be a sequence of random vectors, where $
n\in\mathbb {N} $ and $ d= d (n) $. Under certain weakly dependence conditions, we prove …

Random graphs are subject to the heterogeneities of the distributions of node indices and
their dependence structures. Superstar nodes to which a large proportion of nodes attach in …

Assortativity coefficients are important metrics to analyze both directed and undirected
networks. In general, it is not guaranteed that the fitted model will always agree with the …

When modeling a directed social network, one choice is to use the traditional preferential
attachment model, which generates power-law tail distributions. In traditional directed …