Open Access
2023 A Mecke-type characterization of the Dirichlet–Ferguson measure
Lorenzo Dello Schiavo, Eugene Lytvynov
Author Affiliations +
Electron. Commun. Probab. 28: 1-12 (2023). DOI: 10.1214/23-ECP528

Abstract

We prove a characterization of the Dirichlet–Ferguson measure over an arbitrary finite diffuse measure space. We provide an interpretation of this characterization in analogy with the Mecke identity for Poisson point processes.

Funding Statement

Research supported by the Sfb 1060 The Mathematics of Emergent Effects (University of Bonn). L.D.S. gratefully acknowledges funding of his current position by the Austrian Science Fund (FWF) through project ESPRIT 208.

Version Information

This article was first posted with the incorrect first and family names of author Lorenzo Dello Schiavo. The metadata were corrected on 10 May 2023.

Citation

Download Citation

Lorenzo Dello Schiavo. Eugene Lytvynov. "A Mecke-type characterization of the Dirichlet–Ferguson measure." Electron. Commun. Probab. 28 1 - 12, 2023. https://doi.org/10.1214/23-ECP528

Information

Received: 29 July 2022; Accepted: 28 April 2023; Published: 2023
First available in Project Euclid: 5 May 2023

MathSciNet: MR4596536
zbMATH: 07721284
Digital Object Identifier: 10.1214/23-ECP528

Subjects:
Primary: 60G57

Keywords: Dirichlet distribution , Dirichlet–Ferguson measure , gamma measure , Mecke identity

Back to Top