Geodesic
Ranked fragmentations
ESAIM: Probability and Statistics, Tome 6 (2002), pp. 157-175 Cet article a éte moissonné depuis la source Numdam

Voir la notice de l'article

In this paper we define and study self-similar ranked fragmentations. We first show that any ranked fragmentation is the image of some partition-valued fragmentation, and that there is in fact a one-to-one correspondence between the laws of these two types of fragmentations. We then give an explicit construction of homogeneous ranked fragmentations in terms of Poisson point processes. Finally we use this construction and classical results on records of Poisson point processes to study the small-time behavior of a ranked fragmentation.

DOI : 10.1051/ps:2002009
Classification : 60J25, 60G09
Keywords: fragmentation, self-similar, subordinator, exchangeable partitions, record process 
@article{PS_2002__6__157_0,
     author = {Berestycki, Julien},
     title = {Ranked fragmentations},
     journal = {ESAIM: Probability and Statistics},
     pages = {157--175},
     year = {2002},
     publisher = {EDP-Sciences},
     volume = {6},
     doi = {10.1051/ps:2002009},
     mrnumber = {1943145},
     zbl = {1001.60078},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ps:2002009/}
}
TY  - JOUR
AU  - Berestycki, Julien
TI  - Ranked fragmentations
JO  - ESAIM: Probability and Statistics
PY  - 2002
SP  - 157
EP  - 175
VL  - 6
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/ps:2002009/
DO  - 10.1051/ps:2002009
LA  - en
ID  - PS_2002__6__157_0
ER  - 
%0 Journal Article
%A Berestycki, Julien
%T Ranked fragmentations
%J ESAIM: Probability and Statistics
%D 2002
%P 157-175
%V 6
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/ps:2002009/
%R 10.1051/ps:2002009
%G en
%F PS_2002__6__157_0
Berestycki, Julien. Ranked fragmentations. ESAIM: Probability and Statistics, Tome 6 (2002), pp. 157-175. doi: 10.1051/ps:2002009

Cité par Sources :