English

On a representation of partially-distinguishable populations

Probability 2019-12-02 v3

Abstract

A representation of heterogeneous stochastic populations that are composed of sub-populations with different levels of distinguishability is introduced together with an analysis of its properties. It is demonstrated that any instance of this representation where individuals are independent can be related to a point process on the set of probability measures on the individual state space. The introduction of the proposed representation is fully constructive which ensures the meaningfulness of the approach.

Keywords

Cite

@article{arxiv.1608.00723,
  title  = {On a representation of partially-distinguishable populations},
  author = {Jeremie Houssineau and Daniel E. Clark},
  journal= {arXiv preprint arXiv:1608.00723},
  year   = {2019}
}