Results 31 to 40 of about 1,623,067 (304)
Random walk on random walks: low densities [PDF]
, 2017 We consider a random walker in a dynamic random environment given by a system of independent simple symmetric random walks. We obtain ballisticity results under two types of perturbations: low particle density, and strong local drift on particles ...
Blondel, Oriane +4 more
core +3 more sources
Doob's Type Inequality and Strong Law of Large Numbers for Demimartingales
Journal of Inequalities and Applications, 2010 We establish some maximal inequalities for demimartingales which generalize the result of Wang (2004). The maximal inequality for demimartingales is used as a key inequality to establish other results including Doob's type maximal inequality, strong ...
Yang Wenzhi +3 more
doaj +1 more source
Strong Law of Large Numbers for Solutions of Non-Autonomous Stochastic Differential Equations
Наукові вісті Національного технічного університету України "Київський політехнічний інститут", 2017 Background. Asymptotic behavior at infinity of non-autonomous stochastic differential equation solutions is studied in the paper. Objective. The aim of the work is to find sufficient conditions for the strong law of large numbers for a random process ...
Oleg I. Klesov +2 more
doaj +1 more source
AIMS MathematicsIn the framework of sublinear expectations, we prove the Marcinkiewicz-Zygmund type weak law of large numbers for an array of row-wise weakly negatively dependent (WND) random variables.
Yuyan Wei +3 more
doaj +1 more source
Some strong limit theorems for nonhomogeneous Markov chains indexed by controlled trees
Journal of Inequalities and Applications, 2016 In this paper, a kind of infinite, local finite tree T, named a controlled tree, is introduced. Some strong limit properties, such as the strong law of large numbers and the asymptotic equipartition property, for nonhomogeneous Markov chains indexed by T,
Weicai Peng +4 more
doaj +1 more source
AIMS Mathematics, 2023 The focus of our work is to investigate exponential inequalities for extended negatively dependent (END) random variables in sub-linear expectations. Through these exponential inequalities, we were able to establish the strong law of large numbers with ...
Haiye Liang, Feng Sun
doaj +1 more source
Some almost sure results for unbounded functions of intermittent maps and their associated Markov chains [PDF]
, 2009 We consider a large class of piecewise expanding maps T of [0,1] with a neutral fixed point, and their associated Markov chain Y_i whose transition kernel is the Perron-Frobenius operator of T with respect to the absolutely continuous invariant ...
Dedecker, Jerome +2 more
core +7 more sources
Strong laws for weighted sums of random variables satisfying generalized Rosenthal type inequalities
Journal of Inequalities and Applications, 2020 Let 1 ≤ p < 2 $1\le ...
Yanchun Yi, Pingyan Chen, Soo Hak Sung
doaj +1 more source
Moment conditions in strong laws of large numbers for multiple sums and random measures
, 2017 The validity of the strong law of large numbers for multiple sums $S_n$ of independent identically distributed random variables $Z_k$, $k\leq n$, with $r$-dimensional indices is equivalent to the integrability of $|Z|(\log^+|Z|)^{r-1}$, where $Z$ is the ...
Brunk +23 more
core +1 more source
Complete convergence of randomly weighted END sequences and its application
Journal of Inequalities and Applications, 2017 We investigate the complete convergence of partial sums of randomly weighted extended negatively dependent (END) random variables. Some results of complete moment convergence, complete convergence and the strong law of large numbers for this dependent ...
Penghua Li, Xiaoqin Li, Kehan Wu
doaj +1 more source