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Birth-Death Processes with Two-type Catastrophes
Version 1
: Received: 7 April 2024 / Approved: 8 April 2024 / Online: 8 April 2024 (16:02:38 CEST)
A peer-reviewed article of this Preprint also exists.
Li, J. Birth–Death Processes with Two-Type Catastrophes. Mathematics 2024, 12, 1468. Li, J. Birth–Death Processes with Two-Type Catastrophes. Mathematics 2024, 12, 1468.
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
Birth-death process; Catastrophe; Laplace transform; Probability density function
Subject
Computer Science and Mathematics, Probability and Statistics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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