English

The measurability of hitting times

Probability 2023-06-28 v3

Abstract

Under very general conditions the hitting time of a set by a stochastic process is a stopping time. We give a new simple proof of this fact. The section theorems for optional and predictable sets are easy corollaries of the proof.

Keywords

Cite

@article{arxiv.1001.3619,
  title  = {The measurability of hitting times},
  author = {Richard F. Bass},
  journal= {arXiv preprint arXiv:1001.3619},
  year   = {2023}
}

Comments

This is a post-publication version that has a correction incorporated