{"id":"https://openalex.org/W2022755592","doi":"https://doi.org/10.1007/pl00009504","title":"Asymptotic Behavior of a Set-Statistic","display_name":"Asymptotic Behavior of a Set-Statistic","publication_year":2000,"publication_date":"2000-03-01","ids":{"openalex":"https://openalex.org/W2022755592","doi":"https://doi.org/10.1007/pl00009504","mag":"2022755592"},"language":"en","primary_location":{"id":"doi:10.1007/pl00009504","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009504","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009504.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/PL00009504.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024491455","display_name":"Marco Bonetti","orcid":"https://orcid.org/0000-0003-2304-4180"},"institutions":[{"id":"https://openalex.org/I4210117453","display_name":"Dana-Farber Cancer Institute","ror":"https://ror.org/02jzgtq86","country_code":"US","type":"facility","lineage":["https://openalex.org/I4210117453"]},{"id":"https://openalex.org/I4210134579","display_name":"Dana-Farber/Harvard Cancer Center","ror":"https://ror.org/03pvyf116","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I136199984","https://openalex.org/I4210117453","https://openalex.org/I4210134579"]},{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"M. Bonetti","raw_affiliation_strings":["Department of Biostatistics, Harvard School of Public Health  and  Dana-Farber Cancer Institute,  655 Huntington Ave., Boston, MA 02115, USA  bonetti@jimmy.harvard.edu \n, , , , , , US","Department of Biostatistics, Harvard School of Public Health and Dana-Farber Cancer Institute, 655 Huntington Ave., Boston, MA 02115, USA bonetti@jimmy.harvard.edu , US"],"affiliations":[{"raw_affiliation_string":"Department of Biostatistics, Harvard School of Public Health  and  Dana-Farber Cancer Institute,  655 Huntington Ave., Boston, MA 02115, USA  bonetti@jimmy.harvard.edu \n, , , , , , US","institution_ids":["https://openalex.org/I4210117453","https://openalex.org/I4210134579"]},{"raw_affiliation_string":"Department of Biostatistics, Harvard School of Public Health and Dana-Farber Cancer Institute, 655 Huntington Ave., Boston, MA 02115, USA bonetti@jimmy.harvard.edu , US","institution_ids":["https://openalex.org/I136199984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111766371","display_name":"R. A. Vitale","orcid":null},"institutions":[{"id":"https://openalex.org/I140172145","display_name":"University of Connecticut","ror":"https://ror.org/02der9h97","country_code":"US","type":"education","lineage":["https://openalex.org/I140172145"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. A. Vitale","raw_affiliation_strings":["Department of Statistics, University of Connecticut,   Storrs, CT 06269-3120, USA  rvitale@uconnvm.uconn.edu, , , , , , US","Department of Statistics, University of Connecticut, Storrs, CT 06269-3120, USA rvitale@uconnvm.uconn.edu, US"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, University of Connecticut,   Storrs, CT 06269-3120, USA  rvitale@uconnvm.uconn.edu, , , , , , US","institution_ids":["https://openalex.org/I140172145"]},{"raw_affiliation_string":"Department of Statistics, University of Connecticut, Storrs, CT 06269-3120, USA rvitale@uconnvm.uconn.edu, US","institution_ids":["https://openalex.org/I140172145"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5024491455"],"corresponding_institution_ids":["https://openalex.org/I136199984","https://openalex.org/I4210117453","https://openalex.org/I4210134579"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.5842,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.64600026,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"23","issue":"3","first_page":"333","last_page":"365"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12508","display_name":"Functional Equations Stability Results","score":0.9348999857902527,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9225000143051147,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8782997727394104},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.7888265252113342},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6821983456611633},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5613890290260315},{"id":"https://openalex.org/keywords/convex-body","display_name":"Convex body","score":0.5308371782302856},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5161657929420471},{"id":"https://openalex.org/keywords/central-limit-theorem","display_name":"Central limit theorem","score":0.5110967755317688},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4854331612586975},{"id":"https://openalex.org/keywords/asymptotic-distribution","display_name":"Asymptotic distribution","score":0.47294875979423523},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.46629709005355835},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4656231105327606},{"id":"https://openalex.org/keywords/facet","display_name":"Facet (psychology)","score":0.4547812044620514},{"id":"https://openalex.org/keywords/convex-polytope","display_name":"Convex polytope","score":0.44889500737190247},{"id":"https://openalex.org/keywords/limit-point","display_name":"Limit point","score":0.4212781488895416},{"id":"https://openalex.org/keywords/minkowski-space","display_name":"Minkowski space","score":0.41104623675346375},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.33617717027664185},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20234650373458862},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.1469757854938507},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13968926668167114},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12826132774353027},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.10296669602394104},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.08807677030563354}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8782997727394104},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.7888265252113342},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6821983456611633},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5613890290260315},{"id":"https://openalex.org/C134912446","wikidata":"https://www.wikidata.org/wiki/Q5166516","display_name":"Convex body","level":4,"score":0.5308371782302856},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5161657929420471},{"id":"https://openalex.org/C166785042","wikidata":"https://www.wikidata.org/wiki/Q190391","display_name":"Central limit theorem","level":2,"score":0.5110967755317688},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4854331612586975},{"id":"https://openalex.org/C65778772","wikidata":"https://www.wikidata.org/wiki/Q12345341","display_name":"Asymptotic distribution","level":3,"score":0.47294875979423523},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.46629709005355835},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4656231105327606},{"id":"https://openalex.org/C43122875","wikidata":"https://www.wikidata.org/wiki/Q5428522","display_name":"Facet (psychology)","level":4,"score":0.4547812044620514},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.44889500737190247},{"id":"https://openalex.org/C63548660","wikidata":"https://www.wikidata.org/wiki/Q858223","display_name":"Limit point","level":2,"score":0.4212781488895416},{"id":"https://openalex.org/C79464548","wikidata":"https://www.wikidata.org/wiki/Q464794","display_name":"Minkowski space","level":2,"score":0.41104623675346375},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.33617717027664185},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20234650373458862},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.1469757854938507},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13968926668167114},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12826132774353027},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.10296669602394104},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.08807677030563354},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C187288502","wikidata":"https://www.wikidata.org/wiki/Q641118","display_name":"Personality","level":2,"score":0.0},{"id":"https://openalex.org/C2865642","wikidata":"https://www.wikidata.org/wiki/Q378132","display_name":"Big Five personality traits","level":3,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/pl00009504","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009504","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009504.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/pl00009504","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009504","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009504.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2022755592.pdf","grobid_xml":"https://content.openalex.org/works/W2022755592.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W29355052","https://openalex.org/W151154172","https://openalex.org/W1460189015","https://openalex.org/W1571966798","https://openalex.org/W1634431074","https://openalex.org/W2003491311","https://openalex.org/W2014578618","https://openalex.org/W2051754942","https://openalex.org/W2052188233","https://openalex.org/W2168813162","https://openalex.org/W2493957022","https://openalex.org/W6634423931","https://openalex.org/W6663468635","https://openalex.org/W6723388184","https://openalex.org/W6736667684","https://openalex.org/W6777555855","https://openalex.org/W7011693338"],"related_works":["https://openalex.org/W4288640859","https://openalex.org/W1490572398","https://openalex.org/W2325630180","https://openalex.org/W2910483300","https://openalex.org/W3204036718","https://openalex.org/W1980134612","https://openalex.org/W2321465376","https://openalex.org/W2038488337","https://openalex.org/W2300145982","https://openalex.org/W2371177213"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}