7.7k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
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7 papers · 2 filters
An application of multivariate total positivity to peacocks
Antoine Marie Bogso
We use multivariate total positivity theory to exhibit new families of peacocks. As the authors of \cite{HPRY}, our guiding example is the result of Carr-Ewald-Xiao \cite{CEX}. We…
MRL order, log-concavity and an application to peacocks
Antoine Marie Bogso
We provide an equivalent log-concavity condition to the mean residual life (MRL) ordering for real-valued processes. This result, combined with classical properties of total positi…
Central limit theorem for supercritical binary homogeneous Crump-Mode-Jagers processes
Benoît Henry
We consider a supercritical general branching population where the lifetimes of individuals are i.i.d. with arbitrary distribution and each individual gives birth to new individual…
Quasi-stationary distribution for multi-dimensional birth and death processes conditioned to survival of all coordinates
Nicolas Champagnat, Denis Villemonais
This article studies the quasi-stationary behaviour of multidimensional birth and death processes, modeling the interaction between several species, absorbed when one of the coordi…
Stochastic equation of fragmentation and branching processes related to avalanches
Lucian Beznea, Madalina Deaconu, Oana Lupascu
We give a stochastic model for the fragmentation phase of a snow avalanche. We construct a fragmentation-branching process related to the avalanches, on the set of all fragmentatio…
An asymptotic shape theorem for additive random linear growth models
Aurelia Deshayes, Pierrick Siest
In this paper, we define a class of additive random growth models whose growth is at least and at most linear and prove an asymptotic shape theorem for these models. This proof gen…
Multivariate central limit theorems for averages of fractional Volterra processes and applications to parameter estimation
Ivan Nourdin, David Nualart, Rola Zintout
The purpose of this paper is to establish the multivariate normal convergence for the average of certain Volterra processes constructed from a fractional Brownian motion with Hurst…