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A Mecke-type characterization of the Dirichlet–Ferguson measure
Electronic Communications in Probability, Volume: 28, Issue: none
Swansea University Author:
Eugene Lytvynov
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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 |
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ISSN: | 1083-589X |
Published: |
Institute of Mathematical Statistics
2023
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Online Access: |
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URI: | https://cronfa.swan.ac.uk/Record/cronfa63328 |
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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. |
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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 |