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pro vyhledávání: '"Guevara, Víctor Hugo Vázquez"'
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 generalization of the recently proposed quadratic strong laws. In addition
Externí odkaz:
http://arxiv.org/abs/2404.16800
We present a complete characterization of the asymptotic behaviour of a correlated Bernoulli sequence { which depends on the parameter $\theta \in [0,1]$. A martingale theory based approach will allow} us to prove versions of the law of large numbers
Externí odkaz:
http://arxiv.org/abs/2404.07370
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 regimes (diffusive, critical and superdiffusive). This allows us to prove ve
Externí odkaz:
http://arxiv.org/abs/2402.08033
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 random walk with infinite memory that has three regimes depending on the
Externí odkaz:
http://arxiv.org/abs/2112.09321
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