On a class of critical Markov branching processes with non-homogeneous Poisson immigration.
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| Title: | On a class of critical Markov branching processes with non-homogeneous Poisson immigration. |
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| Authors: | Mitov, Kosto V.1 (AUTHOR) kmitov@yahoo.com, Yanev, Nikolay M.2 (AUTHOR) |
| Source: | Stochastic Models. 2025, Vol. 41 Issue 4, p610-623. 14p. |
| Subjects: | Branching processes, Stochastic processes, Asymptotic distribution, Asymptotic expansions, Distribution (Probability theory) |
| Abstract: | The article studies a class of critical Markov branching processes with infinite variance of the offspring distribution. The processes admit also an immigration component at the jump-points of a non-homogeneous Poisson process, assuming that the mean number of immigrants is infinite and the intensity of the Poisson process converges to a constant. The asymptotic behavior of the probability for non-visiting zero is obtained. Proper limit distributions are proved, under suitable normalization of the sample paths, depending on the offspring distribution and the distribution of the immigrants. [ABSTRACT FROM AUTHOR] |
| Copyright of Stochastic Models is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 188804880 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: On a class of critical Markov branching processes with non-homogeneous Poisson immigration. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Mitov%2C+Kosto+V%2E%22">Mitov, Kosto V.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> kmitov@yahoo.com</i><br /><searchLink fieldCode="AR" term="%22Yanev%2C+Nikolay+M%2E%22">Yanev, Nikolay M.</searchLink><relatesTo>2</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Stochastic+Models%22">Stochastic Models</searchLink>. 2025, Vol. 41 Issue 4, p610-623. 14p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Branching+processes%22">Branching processes</searchLink><br /><searchLink fieldCode="DE" term="%22Stochastic+processes%22">Stochastic processes</searchLink><br /><searchLink fieldCode="DE" term="%22Asymptotic+distribution%22">Asymptotic distribution</searchLink><br /><searchLink fieldCode="DE" term="%22Asymptotic+expansions%22">Asymptotic expansions</searchLink><br /><searchLink fieldCode="DE" term="%22Distribution+%28Probability+theory%29%22">Distribution (Probability theory)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The article studies a class of critical Markov branching processes with infinite variance of the offspring distribution. The processes admit also an immigration component at the jump-points of a non-homogeneous Poisson process, assuming that the mean number of immigrants is infinite and the intensity of the Poisson process converges to a constant. The asymptotic behavior of the probability for non-visiting zero is obtained. Proper limit distributions are proved, under suitable normalization of the sample paths, depending on the offspring distribution and the distribution of the immigrants. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Stochastic Models is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=188804880 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1080/15326349.2025.2492034 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 14 StartPage: 610 Subjects: – SubjectFull: Branching processes Type: general – SubjectFull: Stochastic processes Type: general – SubjectFull: Asymptotic distribution Type: general – SubjectFull: Asymptotic expansions Type: general – SubjectFull: Distribution (Probability theory) Type: general Titles: – TitleFull: On a class of critical Markov branching processes with non-homogeneous Poisson immigration. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Mitov, Kosto V. – PersonEntity: Name: NameFull: Yanev, Nikolay M. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 10 Text: 2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 15326349 Numbering: – Type: volume Value: 41 – Type: issue Value: 4 Titles: – TitleFull: Stochastic Models Type: main |
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