Translator Disclaimer
December 2008 On the equivalence of some eternal additive coalescents
Anne-Laure Basdevant
Ann. Inst. H. Poincaré Probab. Statist. 44(6): 1020-1037 (December 2008). DOI: 10.1214/07-AIHP154

Abstract

In this paper, we study additive coalescents. Using their representation as fragmentation processes, we prove that the law of a large class of eternal additive coalescents is absolutely continuous with respect to the law of the standard additive coalescent on any bounded time interval.

Nous étudions dans ce papier les coalescents additifs. En utilisant leur représentation en tant que processus de fragmentation, nous prouvons que certains coalescents additifs éternels ont une loi absolument continue par rapport à la loi du coalescent additif standard sur n’importe quel intervalle de temps borné inférieurement.

Citation

Download Citation

Anne-Laure Basdevant. "On the equivalence of some eternal additive coalescents." Ann. Inst. H. Poincaré Probab. Statist. 44 (6) 1020 - 1037, December 2008. https://doi.org/10.1214/07-AIHP154

Information

Published: December 2008
First available in Project Euclid: 21 November 2008

zbMATH: 1203.60108
MathSciNet: MR2469333
Digital Object Identifier: 10.1214/07-AIHP154

Subjects:
Primary: 60G09, 60J25

Rights: Copyright © 2008 Institut Henri Poincaré

JOURNAL ARTICLE
18 PAGES


SHARE
Vol.44 • No. 6 • December 2008
Back to Top