You can manage bookmarks using lists, please log in to your user account for this.
Media type:
E-Article
Title:
ON Λ-COALESCENTS WITH DUST COMPONENT
Contributor:
GNEDIN, ALEXANDER;
IKSANOV, ALEXANDER;
MARYNYCH, ALEXANDER
Published:
Applied Probability Trust, 2011
Published in:
Journal of Applied Probability, 48 (2011) 4, Seite 1133-1151
Language:
English
ISSN:
0021-9002
Origination:
Footnote:
Description:
<p>We consider the Λ-coalescent processes with a positive frequency of singleton clusters. The class in focus covers, for instance, the beta(a, b)-coalescents with a > 1. We show that some large-sample properties of these processes can be derived by coupling the coalescent with an increasing Lévy process (subordinator), and by exploiting parallels with the theory of regenerative composition structures. In particular, we discuss the limit distributions of the absorption time and the number of collisions.</p>