Birth-Death processes with two-type catastrophes
Probability
2024-04-09 v1
Abstract
This paper concentrates on the general birth-death processes with two different types of catastrophes. The Laplace transform of transition probability function for birth-death processes with two-type catastrophes are is successfully expressed with the Laplace transform of transition probability function of the birth-death processes without catastrophe. The first effective catastrophe occurrence time is considered. The Laplace transform of its probability density function, expectation and variance are obtained.
Keywords
Cite
@article{arxiv.2404.04984,
title = {Birth-Death processes with two-type catastrophes},
author = {Junping Li},
journal= {arXiv preprint arXiv:2404.04984},
year = {2024}
}
Comments
18 pages