First-passage times for random walks with non-identically distributed increments

Abstract

We consider random walks with independent but not necessarily identical distributed increments. Assuming that the increments satisfy the well-known Lindeberg condition, we investigate the asymptotic behaviour of first-passage times over moving boundaries. Furthermore, we prove that a properly rescaled random walk conditioned to stay above the boundary up to time $n$ converges, as $n\to \infty$, towards the Brownian meander.

References in corpus (1)

• Random walks conditioned to stay in Weyl chambers of type C and D

Cited by in corpus (1)

• First-passage time asymptotics over moving boundaries for random walk bridges