5 papers · 1 filter
A stochastic model for the diffusion of competing opinions with trend-following, opposition, and indifference
Manuel González-Navarrete
We study a stochastic model for the diffusion of competing opinions in a population composed of three types of agents: trend-followers, opposers, and indifferent individuals. The d…
Functional central limit theorem for dependent models with finite memory
Víctor Hugo Vázquez Guevara, Manuel González-Navarrete
We provide complementary results for a family of models with dependence on their previous -sum. Using a martingale-based approach, we establish a functional central limit theore…
Complementary asymptotic analysis for a minimal random walk
Cristian F. Coletti, Manuel González-Navarrete, Víctor Hugo Vázquez Guevara
We discuss a complementary asymptotic analysis of the so called minimal random walk. More precisely, we present a version of the almost sure central limit theorem as well as a gene…
A complete characterization of a correlated Bernoulli process
Manuel González-Navarrete, Rodrigo Lambert, Victor Hugo Vázquez Guevara
We present a complete characterization of the asymptotic behaviour of a correlated Bernoulli sequence { which depends on the parameter . A martingale theory based appro…
On the asymptotics of a lazy reinforced random walk
Manuel González-Navarrete, Rodrigo Lambert, Víctor Hugo Vázquez Guevara
Based on a martingale theory approach, we present a complete characterization of the asymptotic behaviour of a lazy reinforced random walk (LRRW) which shows three different regime…