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Reduced Branching Processes with Very Heavy Tails
| Content Provider | Scilit |
|---|---|
| Author | Lagerås, Andreas N. Sagitov, Serik |
| Copyright Year | 2008 |
| Description | The reduced Markov branching process is a stochastic model for the genealogy of an unstructured biological population. Its limit behavior in the critical case is well studied for the Zolotarev-Slack regularity parameter α ∈ (0, 1]. We turn to the case of very heavy-tailed reproduction distribution α = 0 assuming that Zubkov's regularity condition holds with parameter β ∈ (0, ∞). Our main result gives a new asymptotic pattern for the reduced branching process conditioned on nonextinction during a long time interval. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/9F10B1AF7BC5BFFBF600C4AD1C05CC8F/S0021900200004058a.pdf/div-class-title-reduced-branching-processes-with-very-heavy-tails-div.pdf |
| Ending Page | 200 |
| Page Count | 11 |
| Starting Page | 190 |
| ISSN | 00219002 |
| e-ISSN | 14756072 |
| DOI | 10.1017/s0021900200004058 |
| Journal | Journal of applied probability |
| Issue Number | 01 |
| Volume Number | 45 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2008-03-01 |
| Access Restriction | Open |
| Subject Keyword | Journal of applied probability Mathematical Physics Reduced Branching Process Critical Branching Process Heavy Tail Regular Variation |
| Content Type | Text |
| Resource Type | Article |
| Subject | Statistics and Probability Statistics, Probability and Uncertainty |
