{"article_processing_charge":"No","has_accepted_license":"1","day":"05","isi":1,"language":[{"iso":"eng"}],"license":"https://creativecommons.org/licenses/by/4.0/","date_created":"2023-06-18T22:00:48Z","abstract":[{"text":"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.","lang":"eng"}],"acknowledgement":"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.","file_date_updated":"2023-06-19T09:37:40Z","doi":"10.1214/23-ECP528","file":[{"date_updated":"2023-06-19T09:37:40Z","file_size":271434,"date_created":"2023-06-19T09:37:40Z","creator":"dernst","relation":"main_file","access_level":"open_access","checksum":"4a543fe4b3f9e747cc52167c17bfb524","file_id":"13152","content_type":"application/pdf","file_name":"2023_ElectronCommProbability_Schiavo.pdf","success":1}],"publisher":"Institute of Mathematical Statistics","oa":1,"type":"journal_article","author":[{"orcid":"0000-0002-9881-6870","full_name":"Dello Schiavo, Lorenzo","last_name":"Dello Schiavo","id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","first_name":"Lorenzo"},{"full_name":"Lytvynov, Eugene","first_name":"Eugene","last_name":"Lytvynov"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"publication_identifier":{"eissn":["1083-589X"]},"intvolume":" 28","date_published":"2023-05-05T00:00:00Z","date_updated":"2023-12-13T11:24:57Z","quality_controlled":"1","publication_status":"published","scopus_import":"1","year":"2023","article_type":"original","project":[{"grant_number":"E208","_id":"34dbf174-11ca-11ed-8bc3-afe9d43d4b9c","name":"Configuration Spaces over Non-Smooth Spaces"}],"volume":28,"ddc":["510"],"publication":"Electronic Communications in Probability","status":"public","oa_version":"Published Version","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"A Mecke-type characterization of the Dirichlet–Ferguson measure","external_id":{"isi":["001042025400001"]},"department":[{"_id":"JaMa"}],"page":"1-12","month":"05","citation":{"apa":"Dello Schiavo, L., & Lytvynov, E. (2023). A Mecke-type characterization of the Dirichlet–Ferguson measure. Electronic Communications in Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/23-ECP528","mla":"Dello Schiavo, Lorenzo, and Eugene Lytvynov. “A Mecke-Type Characterization of the Dirichlet–Ferguson Measure.” Electronic Communications in Probability, vol. 28, Institute of Mathematical Statistics, 2023, pp. 1–12, doi:10.1214/23-ECP528.","ieee":"L. Dello Schiavo and E. Lytvynov, “A Mecke-type characterization of the Dirichlet–Ferguson measure,” Electronic Communications in Probability, vol. 28. Institute of Mathematical Statistics, pp. 1–12, 2023.","ama":"Dello Schiavo L, Lytvynov E. A Mecke-type characterization of the Dirichlet–Ferguson measure. Electronic Communications in Probability. 2023;28:1-12. doi:10.1214/23-ECP528","ista":"Dello Schiavo L, Lytvynov E. 2023. A Mecke-type characterization of the Dirichlet–Ferguson measure. Electronic Communications in Probability. 28, 1–12.","chicago":"Dello Schiavo, Lorenzo, and Eugene Lytvynov. “A Mecke-Type Characterization of the Dirichlet–Ferguson Measure.” Electronic Communications in Probability. Institute of Mathematical Statistics, 2023. https://doi.org/10.1214/23-ECP528.","short":"L. Dello Schiavo, E. Lytvynov, Electronic Communications in Probability 28 (2023) 1–12."},"_id":"13145"}