114 citations · 229 across the 36 of their papers we have counts for
23 papers · 1 filter
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…
Trimmed Lévy Processes and their Extremal Components
Yuguang Ipsen, Ross Maller, Sidney Resnick
We analyse a trimmed stochastic process of the form , where is a driftless subordinator on with its jumps…
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…
Ratios of Ordered Points of Point Processes with Regularly Varying Intensity Measures
Yuguang Ipsen, Ross Maller, Sidney Resnick
We study limiting properties of ratios of ordered points of point processes whose intensity measures have regularly varying tails, giving a systematic treatment which points the wa…
Processes of rth Largest
Boris Buchmann, Ross Maller, Sidney Resnick
For integers , we treat the th largest of a sample of size as an -valued stochastic process in which we denote . We show th…