English

Record indices and age-ordered frequencies in Gibbs random partitions

Probability 2007-07-10 v2 Statistics Theory Statistics Theory

Abstract

The distribution of age-ordered frequencies arising from an exchangeable Gibbs partition is studied in relation with the distribution of the positions at which new mutations appear in a sample.

Keywords

Cite

@article{arxiv.math/0701897,
  title  = {Record indices and age-ordered frequencies in Gibbs random partitions},
  author = {Robert C. Griffiths and Dario Spanó},
  journal= {arXiv preprint arXiv:math/0701897},
  year   = {2007}
}

Comments

Resubmitted version, converse to main proposition proved, most proofs improved, misleading section in the introduction removed

R2 v1 2026-07-22T17:50:12.630Z