Zobrazeno 1 - 10
of 88
pro vyhledávání: '"60F15, 60F05"'
We consider random walks in dynamic random environments and propose a criterion which, if satisfied, allows to decompose the random walk trajectory into i.i.d. increments, and ultimately to prove limit theorems. The criterion involves the constructio
Externí odkaz:
http://arxiv.org/abs/2409.12515
Autor:
Xu, Mingzhou
In this paper, the complete moment convergence for the partial sums of moving average processes $\{X_n=\sum_{i=-\infty}^{\infty}a_iY_{i+n},n\ge 1\}$ is proved under some proper conditions, where $\{Y_i,-\infty
Externí odkaz:
http://arxiv.org/abs/2403.19209
Autor:
Xu, Mingzhou, Kong, Xuhang
In this article, the complete moment convergence for the partial sum of moving average processes $\{X_n=\sum_{i=-\infty}^{\infty}a_iY_{i+n},n\ge 1\}$ is estabished under some proper conditions, where $\{Y_i,-\infty
Externí odkaz:
http://arxiv.org/abs/2403.18304
Autor:
Zhang, Li-Xin
Let $\{X_n;n\ge 1\}$ be a sequence of independent and identically distributed random variables in a regular sub-linear expectation space $(\Omega,\mathscr{H},\widehat{\mathbb E})$ with the finite Choquet expectation, upper mean $\overline{\mu} $ and
Externí odkaz:
http://arxiv.org/abs/2311.11100
Autor:
Ribeiro, Rodrigo
In this paper, we study a class of random walks that build their own tree. At each step, the walker attaches a random number of leaves to its current position. The model can be seen as a subclass of the Random Walk in Changing Environments (RWCE) int
Externí odkaz:
http://arxiv.org/abs/2310.19190
Autor:
Dahiya, Yogesh, Sahasrabudhe, Neeraja
Consider a finite undirected graph and place an urn with balls of two colours at each vertex. At every discrete time step, for each urn, a fixed number of balls are drawn from that same urn with probability $p$, and from a randomly chosen neighbour o
Externí odkaz:
http://arxiv.org/abs/2308.12528
Autor:
Ren, Yan-Xia, Yang, Ting
In this paper we consider a large class of super-Brownian motions in $\mathbb{R}$ with spatially dependent branching mechanisms. We establish the almost sure growth rate of the mass located outside a time-dependent interval $(-\delta t,\delta t)$ for
Externí odkaz:
http://arxiv.org/abs/2306.08828
Publikováno v:
Acta Math. Hungar. 171, 124-175 (2023)
We consider power means of independent and identically distributed (i.i.d.) non-integrable random variables. The power mean is an example of a homogeneous quasi-arithmetic mean. Under certain conditions, several limit theorems hold for the power mean
Externí odkaz:
http://arxiv.org/abs/2207.09694
Autor:
Giuliano, Rita, Hadjikyriakou, Milto
In this work, we study convergence in probability and almost sure convergence for weighted partial sums of random variables that are related to the class of generalized Oppenheim expansions. It is worth noting that the random variables under study ha
Externí odkaz:
http://arxiv.org/abs/2207.09683