12 citations · 13 across the 6 of their papers we have counts for
6 papers
Expectation-Maximization algorithm to estimate the forcing parameter of a nonlinear McKean-Vlasov diffusion
Eduardo Gutierrez-Turner, Kerlyns Martinez, Hector Olivero
In this article, we address the problem of estimating a forcing parameter in a stochastic differential equation inspired by a model that describes instantaneous turbulent kinetic e…
Simple repair policies and decompositions for semi-coherent systems with simultaneous failures
Guido Lagos, Jorge Navarro, Hector Olivero
We consider semi-coherent binary systems that are subject to simultaneous failures of its components. These are systems whose components can be either working or failed; the system…
Age-structured stochastic populations under dynamic harvesters' behavior: well-posedness, asymptotic stability and numerically-amenable approximations
M. Isidora Ávila-Thieme, Kerlyns Martínez, Héctor Olivero +2
In this paper we study a model of age-structured ecological populations in continuous interaction with a community of harvesters. We propose an individual-based model for this feed…
Wright--Fisher kernels: from linear to non-linear dynamics, ergodicity and McKean--Vlasov scaling limits
Fernando Cordero, Christian Jorquera, Héctor Olivero +1
We study the evolution of a pathogen with two allelic types infecting a population of hosts, where within-host type frequencies evolve in discrete time. Our framework is built on a…
A hypothesis test for the domain of attraction of a random variable
Héctor Olivero, Denis Talay
In this work we address the problem of detecting whether a sampled probability distribution of a random variable has infinite first moment. This issue is notably important when…
Synchronization of stochastic mean field networks of Hodgkin-Huxley neurons with noisy channels
Mireille Bossy, Joaquin Fontbona, Hector Olivero
In this work we are interested in a mathematical model of the collective behavior of a fully connected network of finitely many neurons, when their number and when time go to infin…