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math.PR2012

On Ornstein-Uhlenbeck driven by Ornstein-Uhlenbeck processes

Bernard Bercu, Frederic Proia, Nicolas Savy

We investigate the asymptotic behavior of the maximum likelihood estimators of the unknown parameters of positive recurrent Ornstein-Uhlenbeck processes driven by Ornstein-Uhlenbec…

math.PR2012

Modeling a Case of Herding Behavior in a Multi-Player Game

Guy Fayolle, Jean-Marc Lasgouttes

The system mentioned in the title belongs to the family of the so-called massively multi-player online social games (MMOSG). It features a scoring system for the elements of the ga…

math.PR2012★ 5 cited

A stochastic analysis of resource sharing with logarithmic weights

Philippe Robert, Amandine Véber

The paper investigates the properties of a class of resource allocation algorithms for communication networks: if a node of this network has requests to transmit, then it recei…

math.PR2012

Approximation of stationary solutions to SDEs driven by multiplicative fractional noise

Serge Cohen, Fabien Panloup, Samy Tindel

In a previous paper, we studied the ergodic properties of an Euler scheme of a stochastic differential equation with a Gaussian additive noise in order to approximate the stationar…

math.PR2012★ 9 cited

On a class of self-similar processes with stationary increments in higher order Wiener chaoses

Benjamin Arras

We study a class of self-similar processes with stationary increments belonging to higher order Wiener chaoses which are similar to Hermite processes. We obtain an almost sure wave…

math.PR2012★ 16 cited

Optimal scaling for the transient phase of the random walk Metropolis algorithm: The mean-field limit

Benjamin Jourdain, Tony Lelièvre, Błażej Miasojedow

We consider the random walk Metropolis algorithm on with Gaussian proposals, and when the target probability measure is the -fold product of a one-dimensional law…