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
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
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