Overshoot functionals for almost semi-continuous processes defined on a Markov chain

TL;DR

This paper studies the distributions of overjump functionals for a class of semi-continuous processes driven by finite Markov chains, providing insights into their probabilistic behavior.

Contribution

It introduces a new analysis of overjump functionals specifically for almost semi-continuous processes on finite Markov chains, expanding understanding of their distributional properties.

Findings

Derived distribution formulas for overjump functionals.

Analyzed the probabilistic behavior of semi-continuous processes.

Extended existing models to include Markov chain dynamics.

Abstract

In the article the distributions of overjump functionals for almost semi-continuous processes on a finite irreducible Markov chain are considered.