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hand the auxiliary results leading to Theorem 2.1 can be employed to obtain results on the optimal speed of the random walk under the random potential ξ (see Corollary 2.3
We also discuss applications of these bounds to the central limit theorem, simple random sampling, Poisson- Charlier approximation and geometric approximation using
We prove an almost sure limit theorem on the exact convergence rate of the maximum of standardized gaussian random walk increments.. On a conjecture of R´
Keywords: arithmetic progression; random subset; Chen-Stein method; dependency graph; extreme type limit
Keywords: Malliavin calculus, Clark-Ocone formula, Brownian local time, Knight theorem, central limit theorem, Tanaka
Taking advantage of this decompo- sition we apply a theorem of Barbour and Xia [ 1 ] on translated compound Poisson approximation in total variation distance to the distributions
Keywords: Brownian motion, random time change, exit boundary, local time, additive func- tional, stochastic differential equation, Khas’minskii’s lemma, spectrally negative
Zeitouni, Limit theorems for one- dimensional transient random walks in Markov environments, to appear in Ann. Solomon, Random walks in random
