# Excursions of a normal random walk above a boundary

- Authors

## Abstract

An integral condition is derived that is equivalent to the condition that the expected number of excursions by a normal random walk beyond a boundary is finite. In the case where the expected number of excursions is infinite, the asymptotic size is determined relative to the number of steps. Applications are given and the behavior for a transitional family of boundaries is investigated.

## There are no comments yet on this publication. Be the first to share your thoughts.