{"id":"https://openalex.org/W4390613788","doi":"https://doi.org/10.1137/22m1539514","title":"On a Conjecture of Feige for Discrete Log-Concave Distributions","display_name":"On a Conjecture of Feige for Discrete Log-Concave Distributions","publication_year":2024,"publication_date":"2024-01-05","ids":{"openalex":"https://openalex.org/W4390613788","doi":"https://doi.org/10.1137/22m1539514"},"language":"en","primary_location":{"id":"doi:10.1137/22m1539514","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1539514","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002980218","display_name":"Abdulmajeed Alqasem","orcid":null},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Abdulmajeed Alqasem","raw_affiliation_strings":["Department of Mathematics, University of Florida, Gainesville, FL 32611 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Florida, Gainesville, FL 32611 USA","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061996204","display_name":"Heshan Aravinda","orcid":"https://orcid.org/0000-0002-8952-7532"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Heshan Aravinda","raw_affiliation_strings":["Department of Mathematics, University of Florida, Gainesville, FL 32611 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Florida, Gainesville, FL 32611 USA","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062208766","display_name":"Arnaud Marsiglietti","orcid":"https://orcid.org/0000-0002-7459-0547"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arnaud Marsiglietti","raw_affiliation_strings":["Corresponding author. Department of Mathematics, University of Florida, Gainesville, FL 32611 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Corresponding author. Department of Mathematics, University of Florida, Gainesville, FL 32611 USA","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051190796","display_name":"James Melbourne","orcid":"https://orcid.org/0000-0002-1263-0961"},"institutions":[{"id":"https://openalex.org/I4210118279","display_name":"Mathematics Research Center","ror":null,"country_code":"MX","type":null,"lineage":["https://openalex.org/I4210118279"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"James Melbourne","raw_affiliation_strings":["Probabilidad y Estad\u00edstica, Centro de Investigaci\u00f3n en Matem\u00e1ticas (CIMAT), Guanajuato, Gto 36023, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Probabilidad y Estad\u00edstica, Centro de Investigaci\u00f3n en Matem\u00e1ticas (CIMAT), Guanajuato, Gto 36023, M\u00e9xico","institution_ids":["https://openalex.org/I4210118279"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8734,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.61758144,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"38","issue":"1","first_page":"93","last_page":"102"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9973000288009644,"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":0.9973000288009644,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9927999973297119,"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/conjecture","display_name":"Conjecture","score":0.8979657888412476},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8814399838447571},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.719555139541626},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.562477171421051},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.511926531791687},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4741063714027405},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1774638295173645},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.056239157915115356}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.8979657888412476},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8814399838447571},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.719555139541626},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.562477171421051},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.511926531791687},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4741063714027405},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1774638295173645},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.056239157915115356},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1539514","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1539514","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4000000059604645}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1467728061","https://openalex.org/W1971662030","https://openalex.org/W1973271905","https://openalex.org/W1994987445","https://openalex.org/W2015509409","https://openalex.org/W2017943326","https://openalex.org/W2025223969","https://openalex.org/W2049731483","https://openalex.org/W2076304889","https://openalex.org/W2081235981","https://openalex.org/W2110806960","https://openalex.org/W2111604338","https://openalex.org/W2152296645","https://openalex.org/W2165067615","https://openalex.org/W2170179457","https://openalex.org/W2606500702","https://openalex.org/W2899011165","https://openalex.org/W2911075563","https://openalex.org/W2963763760","https://openalex.org/W2963941954","https://openalex.org/W2964127965","https://openalex.org/W3021019285","https://openalex.org/W3086756434","https://openalex.org/W3104192606","https://openalex.org/W3105995724","https://openalex.org/W3135278457","https://openalex.org/W3157375027","https://openalex.org/W4250083519","https://openalex.org/W4254218383","https://openalex.org/W4293004844"],"related_works":["https://openalex.org/W3194471551","https://openalex.org/W4375956809","https://openalex.org/W1581373162","https://openalex.org/W2784911598","https://openalex.org/W4297950433","https://openalex.org/W4287023968","https://openalex.org/W4288279572","https://openalex.org/W1973978937","https://openalex.org/W4286909116","https://openalex.org/W4292635168"],"abstract_inverted_index":{".A":[0],"remarkable":[1],"conjecture":[2,49],"of":[3,17,53,84],"Feige":[4],"[SIAM":[5],"J.":[6],"Comput.,":[7],"35":[8],"(2006),":[9],"pp.":[10],"964\u2013984]":[11],"asserts":[12],"that":[13,68],"for":[14,50],"any":[15],"collection":[16],"\\(n\\)":[18],"independent":[19,77],"nonnegative":[20],"random":[21,85],"variables":[22],"\\(X_1,":[23],"X_2,":[24],"\\dots,":[25],"X_n\\),":[26],"each":[27],"with":[28,80],"expectation":[29],"at":[30],"most":[31],"1,":[32],"\\(\\mathbb{P}(X":[33],"\\lt":[34],"\\mathbb{E}[X]+1)":[35],"\\geq":[36],"\\frac{1}{e}\\),":[37],"where":[38],"\\(X":[39],"=":[40],"\\sum_{i=1}^n":[41],"X_i\\).":[42],"In":[43],"this":[44,48],"paper,":[45],"we":[46,59,66],"investigate":[47],"the":[51,69],"class":[52],"discrete":[54,78],"log-concave":[55,79],"probability":[56],"distributions,":[57],"and":[58],"prove":[60],"a":[61],"strengthened":[62],"version.":[63],"More":[64],"specifically,":[65],"show":[67],"conjectured":[70],"bound":[71],"\\(1/e\\)":[72],"holds":[73],"when":[74],"\\(X_i\\)'s":[75],"are":[76],"arbitrary":[81],"expectation.KeywordsFeige's":[82],"conjecturesum":[83],"variablessmall":[86],"deviationslog-concaveMSC":[87],"codes60C0560E1552A40":[88]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
