Navigation auf zora.uzh.ch
Bertoin, Jean (2001). Eternal additive coalescents and certain bridges with exchangeable increments. The Annals of Probability, 29(1):344-360.
Aldous and Pitman have studied the asymptotic behavior of the additive coalescent processes using a nested family random forests derived by logging certain inhomogeneous continuum random trees. Here we propose a different approach based on partitions of the unit interval induced by certain bridges with exchangeable increments. The analysis is made simple by an interpretation in terms of an aggregating server system.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistics and Probability
Social Sciences & Humanities > Statistics, Probability and Uncertainty |
| Uncontrolled Keywords: | Additive coalescent, fragmentation, bridge with exchangeable increments |
| Language: | English |
| Date: | 2001 |
| Deposited On: | 24 Jul 2013 08:18 |
| Last Modified: | 09 Jan 2025 02:42 |
| Publisher: | Institute of Mathematical Statistics |
| ISSN: | 0091-1798 |
| OA Status: | Hybrid |
| Free access at: | Publisher DOI. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.1214/aop/1008956333 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=1825153 http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1019.60072 |
Bertoin, Jean