23 citations · 49 across the 36 of their papers we have counts for
6 papers · 1 filter
Emergence of Multivariate Extremes in Multilayer Inhomogeneous Random Graphs
Daniel Cirkovic, Tiandong Wang, Daren B. H. Cline
In this paper, we propose a multilayer inhomogeneous random graph model (MIRG), whose layers may consist of both single-edge and multi-edge graphs. In the single layer case, it has…
A Directed Preferential Attachment Model with Poisson Measurement
Tiandong Wang, Sidney I. Resnick
When modeling a directed social network, one choice is to use the traditional preferential attachment model, which generates power-law tail distributions. In a traditional directed…
Degree Growth Rates and Index Estimation in a Directed Preferential Attachment Model
Tiandong Wang, Sidney I. Resnick
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, de…
Consistency of Hill Estimators in a Linear Preferential Attachment Model
Tiandong Wang, Sidney Resnick
Preferential attachment is widely used to model power-law behavior of degree distributions in both directed and undirected networks. Practical analyses on the tail exponent of the…
Multivariate Regular Variation of Discrete Mass Functions with Applications to Preferential Attachment Networks
Tiandong Wang, Sidney I. Resnick
Regular variation of a multivariate measure with a Lebesgue density implies the regular variation of its density provided the density satisfies some regularity conditions. Unlike t…
Asymptotic Normality of In- and Out-Degree Counts in a Preferential Attachment Model
Tiandong Wang, Sidney I. Resnick
Preferential attachment in a directed scale-free graph is widely used to model the evolution of social networks. Statistical analyses of social networks often relies on node based…