{"id":"https://openalex.org/W2024112283","doi":"https://doi.org/10.1017/s0963548311000095","title":"Negative Dependence and Srinivasan's Sampling Process","display_name":"Negative Dependence and Srinivasan's Sampling Process","publication_year":2011,"publication_date":"2011-02-22","ids":{"openalex":"https://openalex.org/W2024112283","doi":"https://doi.org/10.1017/s0963548311000095","mag":"2024112283"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548311000095","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548311000095","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/E1EE578DAD6C99B4CAAE5A5CDE57344F/S0963548311000095a.pdf/div-class-title-negative-dependence-and-srinivasan-s-sampling-process-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/E1EE578DAD6C99B4CAAE5A5CDE57344F/S0963548311000095a.pdf/div-class-title-negative-dependence-and-srinivasan-s-sampling-process-div.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050466853","display_name":"Josh Brown Kramer","orcid":null},"institutions":[{"id":"https://openalex.org/I184616310","display_name":"Illinois Wesleyan University","ror":"https://ror.org/021aqk126","country_code":"US","type":"education","lineage":["https://openalex.org/I184616310"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"JOSH BROWN KRAMER","raw_affiliation_strings":["Department of Mathematics and Computer Science Department, Illinois Wesleyan University, Bloomington, IL, USA (e-mail:","Department of mathematics and computer science department, illinois wesleyan university, bloomington, il, usa (e-mail: jbrownkr@iwu.edu)#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science Department, Illinois Wesleyan University, Bloomington, IL, USA (e-mail:","institution_ids":["https://openalex.org/I184616310"]},{"raw_affiliation_string":"Department of mathematics and computer science department, illinois wesleyan university, bloomington, il, usa (e-mail: jbrownkr@iwu.edu)#TAB#","institution_ids":["https://openalex.org/I184616310"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010808215","display_name":"Jonathan Cutler","orcid":null},"institutions":[{"id":"https://openalex.org/I166088655","display_name":"Montclair State University","ror":"https://ror.org/01nxc2t48","country_code":"US","type":"education","lineage":["https://openalex.org/I166088655"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"JONATHAN CUTLER","raw_affiliation_strings":["Department of Mathematical Sciences, Montclair State University, Montclair, NJ, USA (e-mail:","Department of mathematical sciences, montclair state university, montclair, nj, usa (e-mail: jonathan.cutler@montclair.edu)#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Montclair State University, Montclair, NJ, USA (e-mail:","institution_ids":["https://openalex.org/I166088655"]},{"raw_affiliation_string":"Department of mathematical sciences, montclair state university, montclair, nj, usa (e-mail: jonathan.cutler@montclair.edu)#TAB#","institution_ids":["https://openalex.org/I166088655"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032520716","display_name":"A. J. Radcliffe","orcid":"https://orcid.org/0000-0002-8817-0383"},"institutions":[{"id":"https://openalex.org/I114395901","display_name":"University of Nebraska\u2013Lincoln","ror":"https://ror.org/043mer456","country_code":"US","type":"education","lineage":["https://openalex.org/I114395901"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. J. RADCLIFFE","raw_affiliation_strings":["Department of Mathematics, University of Nebraska\u2013Lincoln, Lincoln, NE, USA (e-mail:","Department of mathematics, university of nebraska\u2013lincoln, lincoln, ne, usa (e-mail: aradcliffe1@math.unl.edu)#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Nebraska\u2013Lincoln, Lincoln, NE, USA (e-mail:","institution_ids":["https://openalex.org/I114395901"]},{"raw_affiliation_string":"Department of mathematics, university of nebraska\u2013lincoln, lincoln, ne, usa (e-mail: aradcliffe1@math.unl.edu)#TAB#","institution_ids":["https://openalex.org/I114395901"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5584,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.70027559,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"20","issue":"3","first_page":"347","last_page":"361"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9957000017166138,"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"}},"topics":[{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9957000017166138,"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"}},{"id":"https://openalex.org/T11720","display_name":"Probability and Risk Models","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6639173030853271},{"id":"https://openalex.org/keywords/association","display_name":"Association (psychology)","score":0.5688626170158386},{"id":"https://openalex.org/keywords/argument","display_name":"Argument (complex analysis)","score":0.5206950306892395},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.47522762417793274},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.468227356672287},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35762646794319153},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3279433846473694},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3277432918548584},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2476445436477661},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11659029126167297},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.09866228699684143},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.07025611400604248},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.06047096848487854}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6639173030853271},{"id":"https://openalex.org/C142853389","wikidata":"https://www.wikidata.org/wiki/Q744778","display_name":"Association (psychology)","level":2,"score":0.5688626170158386},{"id":"https://openalex.org/C98184364","wikidata":"https://www.wikidata.org/wiki/Q1780131","display_name":"Argument (complex analysis)","level":2,"score":0.5206950306892395},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.47522762417793274},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.468227356672287},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35762646794319153},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3279433846473694},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3277432918548584},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2476445436477661},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11659029126167297},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.09866228699684143},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.07025611400604248},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.06047096848487854},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1017/s0963548311000095","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548311000095","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/E1EE578DAD6C99B4CAAE5A5CDE57344F/S0963548311000095a.pdf/div-class-title-negative-dependence-and-srinivasan-s-sampling-process-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.187.1567","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.187.1567","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.unl.edu/%7Earadcliffe1/Papers/Tournament.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1017/s0963548311000095","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548311000095","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/E1EE578DAD6C99B4CAAE5A5CDE57344F/S0963548311000095a.pdf/div-class-title-negative-dependence-and-srinivasan-s-sampling-process-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2024112283.pdf","grobid_xml":"https://content.openalex.org/works/W2024112283.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W1966695467","https://openalex.org/W1997988698","https://openalex.org/W2039800039","https://openalex.org/W2045164194","https://openalex.org/W2081185834","https://openalex.org/W2129355511","https://openalex.org/W2144407406","https://openalex.org/W2145617053","https://openalex.org/W2166935116","https://openalex.org/W2295578127","https://openalex.org/W2949117595","https://openalex.org/W4244913486"],"related_works":["https://openalex.org/W1978042415","https://openalex.org/W3086542228","https://openalex.org/W2017331178","https://openalex.org/W2976797620","https://openalex.org/W2260035625","https://openalex.org/W1989920940","https://openalex.org/W2030105136","https://openalex.org/W1560139384","https://openalex.org/W4249580765","https://openalex.org/W2007735529"],"abstract_inverted_index":{"Dubhashi,":[0,4,86],"Jonasson":[1,5,87],"and":[2,6,47,69,88,97,116],"Ranjan":[3,7],"(2007)":[8],"study":[9],"the":[10,44],"negative":[11,40,76,114,119,133],"dependence":[12],"properties":[13],"of":[14,24,56,85,95,126],"Srinivasan's":[15],"sampling":[16],"processes":[17,20],"(SSPs),":[18],"random":[19],"which":[21],"sample":[22],"sets":[23],"a":[25,48,53,66],"fixed":[26],"size":[27],"with":[28],"prescribed":[29],"marginals.":[30],"In":[31],"particular":[32],"they":[33,73],"prove":[34,71],"that":[35,58,72,84,102,111,129],"linear":[36],"SSPs":[37,57,62],"have":[38,65,74,113,132],"conditional":[39,75,118],"association,":[41,115],"by":[42],"using":[43],"Feder\u2013Mihail":[45],"theorem":[46],"coupling":[49],"argument.":[50],"We":[51,90,109,121],"consider":[52],"broader":[54],"class":[55],"we":[59,70],"call":[60],"tournament":[61],"(TSSPs).":[63],"These":[64],"tree-like":[67],"structure":[68],"association.":[77,120,134],"Our":[78],"approach":[79],"is":[80],"completely":[81],"different":[82],"from":[83],"Ranjan.":[89],"give":[91,123],"an":[92,124,127],"abstract":[93],"characterization":[94],"TSSPs,":[96],"use":[98],"this":[99],"to":[100],"deduce":[101],"certain":[103],"conditioned":[104],"TSSPs":[105,112],"are":[106],"themselves":[107],"TSSPs.":[108],"show":[110],"hence":[117],"also":[122],"example":[125],"SSP":[128],"does":[130],"not":[131]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
