Birth-Death processes with two-type catastrophes
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866929305178603520 |
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| author | Li, Junping |
| author_facet | Li, Junping |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04984 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Birth-Death processes with two-type catastrophes Li, Junping Probability 60J27 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. |
| title | Birth-Death processes with two-type catastrophes |
| topic | Probability 60J27 |
| url | https://arxiv.org/abs/2404.04984 |