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A Mecke-type characterization of the Dirichlet–Ferguson measure

Lorenzo Dello Schiavo, Eugene Lytvynov Orcid Logo

Electronic Communications in Probability, Volume: 28, Issue: none

Swansea University Author: Eugene Lytvynov Orcid Logo

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DOI (Published version): 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 haracterization in analogy with the Mecke identity for Poisson point processes.

Published in: Electronic Communications in Probability
ISSN: 1083-589X
Published: Institute of Mathematical Statistics 2023
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URI: https://cronfa.swan.ac.uk/Record/cronfa63328
Abstract: We prove a characterization of the Dirichlet–Ferguson measure over an arbitrary finite diffuse measure space. We provide an interpretation of this haracterization in analogy with the Mecke identity for Poisson point processes.
Keywords: Dirichlet distribution , Dirichlet–Ferguson measure , gamma measure , Mecke identity
College: Faculty of Science and Engineering
Funders: 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.
Issue: none

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