2 citations · 2 across the 4 of their papers we have counts for
5 papers
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…
New insights on the minimal random walk
Bernard Bercu, Víctor Hugo Vázquez Guevara
The aim of this paper is to deepen the analysis of the asymptotic behavior of the so-called minimal random walk (MRW) using a new martingale approach. The MRW is a discrete-time ra…