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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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URI: | https://cronfa.swan.ac.uk/Record/cronfa63328 |
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2024-07-29T14:14:37.1576186 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 MACS 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 COLLEGE NANME Mathematics and Computer Science School COLLEGE CODE MACS 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. 2024-07-29T14:14:37.1576186 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 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 |
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Faculty of Science and Engineering |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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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 |
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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 |
2023-05-06T16:13:25Z |
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1824231161252020224 |
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11.050721 |