The number of non-singleton blocks in Lambda-coalescents with dust
Probability
2011-11-08 v1
Abstract
In this article we state and prove a dichotomy, which is satisfied by the number of non-singleton blocks in Lambda-coalescents which have a dust component. The dichotomy is of a similar type to two well known results, also dichotomies in the behaviour of the Lambda-coalescent, of Pitman (1999) and Schweinsberg (2000). The three dichotomies combine together to give a complete picture of the qualitative behaviour of the singleton/non-singleton blocks of the Lambda-coalescent.
Keywords
Cite
@article{arxiv.1111.1660,
title = {The number of non-singleton blocks in Lambda-coalescents with dust},
author = {Nic Freeman},
journal= {arXiv preprint arXiv:1111.1660},
year = {2011}
}
Comments
21 pages, 5 figures