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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
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spelling v2 63328 2023-05-02 A Mecke-type characterization of the Dirichlet–Ferguson measure e5b4fef159d90a480b1961cef89a17b7 0000-0001-9685-7727 Eugene Lytvynov Eugene Lytvynov true false 2023-05-02 SMA 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. Journal Article Electronic Communications in Probability 28 none Institute of Mathematical Statistics 1083-589X Dirichlet distribution , Dirichlet–Ferguson measure , gamma measure , Mecke identity 6 5 2023 2023-05-06 10.1214/23-ecp528 http://dx.doi.org/10.1214/23-ecp528 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University Not Required 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. 2023-06-09T15:01:32.7338073 2023-05-02T14:13:47.6259784 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Lorenzo Dello Schiavo 1 Eugene Lytvynov 0000-0001-9685-7727 2 Under embargo Under embargo 2023-05-02T14:35:07.1662913 Output 267159 application/pdf Accepted Manuscript true 2024-04-28T00:00:00.0000000 false 63328__27558__9e5bb5647d5d486995a43cece820e416.pdf 63328.pdf 2023-05-22T13:52:01.4054693 Output 271434 application/pdf Version of Record true Rights: Creative Commons Attribution 4.0 International License. true eng http://creativecommons.org/licenses/by/4.0/
title A Mecke-type characterization of the Dirichlet–Ferguson measure
spellingShingle A Mecke-type characterization of the Dirichlet–Ferguson measure
Eugene Lytvynov
title_short A Mecke-type characterization of the Dirichlet–Ferguson measure
title_full A Mecke-type characterization of the Dirichlet–Ferguson measure
title_fullStr A Mecke-type characterization of the Dirichlet–Ferguson measure
title_full_unstemmed A Mecke-type characterization of the Dirichlet–Ferguson measure
title_sort A Mecke-type characterization of the Dirichlet–Ferguson measure
author_id_str_mv e5b4fef159d90a480b1961cef89a17b7
author_id_fullname_str_mv e5b4fef159d90a480b1961cef89a17b7_***_Eugene Lytvynov
author Eugene Lytvynov
author2 Lorenzo Dello Schiavo
Eugene Lytvynov
format Journal article
container_title Electronic Communications in Probability
container_volume 28
container_issue none
publishDate 2023
institution Swansea University
issn 1083-589X
doi_str_mv 10.1214/23-ecp528
publisher Institute of Mathematical Statistics
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
url http://dx.doi.org/10.1214/23-ecp528
document_store_str 1
active_str 0
description 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_date 2023-05-06T15:01:31Z
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score 11.013619

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