12 citations · 15 across the 10 of their papers we have counts for
5 papers · 1 filter
Inference of Flow Statistics via Packet Sampling in the Internet
Yousra Chabchoub, Christine Fricker, Fabrice Guillemin +1
We show in this note that by deterministic packet sampling, the tail of the distribution of the original flow size can be obtained by rescaling that of the sampled flow size. To re…
Perturbation analysis of an M/M/1 queue in a diffusion random environment
Christine Fricker, Fabrice Guillemin, Philippe Robert
We study in this paper an queue whose server rate depends upon the state of an independent Ornstein-Uhlenbeck diffusion process so that its value at time is $μ…
An identification problem in an urn and ball model with heavy tailed distributions
Christine Fricker, Fabrice Guillemin, Philippe Robert
We consider in this paper an urn and ball problem with replacement, where balls are with different colors and are drawn uniformly from a unique urn. The numbers of balls with a giv…
Occupancy Schemes Associated to Yule Processes
Philippe Robert, Florian Simatos
An occupancy problem with an infinite number of bins and a random probability vector for the locations of the balls is considered. The respective sizes of bins are related to the s…
A Queueing System for Modeling a File Sharing Principle
Florian Simatos, Philippe Robert, Fabrice Guillemin
We investigate in this paper the performance of a simple file sharing principle. For this purpose, we consider a system composed of N peers becoming active at exponential random ti…