Exchangeable random partitions from max-infinitely-divisible distributions

Stilian Stoev and Yizao Wang

Statistics & Probability Letters, 2019, vol. 146, issue C, 50-56

Abstract: The hitting partitions are random partitions that arise from the investigation of so-called hitting scenarios of max-infinitely-divisible (max-i.d.) distributions. We study a class of max-i.d. laws with exchangeable hitting partitions obtained by size-biased sampling from the jumps of a Lévy subordinator. We obtain explicit formulae for the distributions of these partitions in the case of the multivariate α-logistic and another family of exchangeable max-i.d. distributions. Specifically, the hitting partitions for these two cases are shown to coincide with the well-known Poisson–Dirichlet partitions PD(α,0),α∈(0,1) and PD(0,θ),θ>0.

Keywords: Exchangeable random partition; Multivariate max-infinitely-divisible distribution; Poisson–Dirichlet distribution; Paintbox partition (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167715218303559
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:146:y:2019:i:c:p:50-56

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

DOI: 10.1016/j.spl.2018.11.008

Access Statistics for this article

Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul

More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().