{"id":"https://openalex.org/W4401073936","doi":"https://doi.org/10.3390/axioms13080511","title":"Advancing the Analysis of Extended Negative Dependence Random Variables: A New Concentration Inequality and Its Applications for Linear Models","display_name":"Advancing the Analysis of Extended Negative Dependence Random Variables: A New Concentration Inequality and Its Applications for Linear Models","publication_year":2024,"publication_date":"2024-07-29","ids":{"openalex":"https://openalex.org/W4401073936","doi":"https://doi.org/10.3390/axioms13080511"},"language":"en","primary_location":{"id":"doi:10.3390/axioms13080511","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13080511","pdf_url":"https://www.mdpi.com/2075-1680/13/8/511/pdf?version=1722244417","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/13/8/511/pdf?version=1722244417","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036984726","display_name":"Zouaoui Chikr Elmezouar","orcid":"https://orcid.org/0000-0001-7621-6711"},"institutions":[{"id":"https://openalex.org/I82952536","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30","country_code":"SA","type":"education","lineage":["https://openalex.org/I82952536"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Zouaoui Chikr Elmezouar","raw_affiliation_strings":["Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0001-7621-6711","affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia","institution_ids":["https://openalex.org/I82952536"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040602817","display_name":"Abderrahmane Belguerna","orcid":"https://orcid.org/0000-0002-1666-1044"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Abderrahmane Belguerna","raw_affiliation_strings":["Department of Mathematics, Sciences Institute, S.A University Center, P.O. Box 66, Naama 45000, Algeria"],"raw_orcid":"https://orcid.org/0000-0002-1666-1044","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sciences Institute, S.A University Center, P.O. Box 66, Naama 45000, Algeria","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5093063563","display_name":"Hamza Daoudi","orcid":"https://orcid.org/0000-0001-5479-9346"},"institutions":[{"id":"https://openalex.org/I143936627","display_name":"University of Bechar","ror":"https://ror.org/035145p50","country_code":"DZ","type":"education","lineage":["https://openalex.org/I143936627"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Hamza Daoudi","raw_affiliation_strings":["Department of Electrical Engineering, College of Technology, Tahri Mohamed University, Al-Qanadisa Road, P.O. Box 417, Bechar 08000, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, College of Technology, Tahri Mohamed University, Al-Qanadisa Road, P.O. Box 417, Bechar 08000, Algeria","institution_ids":["https://openalex.org/I143936627"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041542650","display_name":"Fatimah Alshahrani","orcid":"https://orcid.org/0000-0003-1306-7688"},"institutions":[{"id":"https://openalex.org/I106778892","display_name":"Princess Nourah bint Abdulrahman University","ror":"https://ror.org/05b0cyh02","country_code":"SA","type":"education","lineage":["https://openalex.org/I106778892"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Fatimah Alshahrani","raw_affiliation_strings":["Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0003-1306-7688","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia","institution_ids":["https://openalex.org/I106778892"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067700752","display_name":"Zoubeyr Kaddour","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zoubeyr Kaddour","raw_affiliation_strings":["Department of Mathematics, Sciences Institute, S.A University Center, P.O. Box 66, Naama 45000, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sciences Institute, S.A University Center, P.O. Box 66, Naama 45000, Algeria","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5040602817"],"corresponding_institution_ids":[],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.4484,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.66179102,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"13","issue":"8","first_page":"511","last_page":"511"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11720","display_name":"Probability and Risk Models","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11720","display_name":"Probability and Risk Models","score":0.9998000264167786,"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/T10282","display_name":"Financial Risk and Volatility Modeling","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/convergence","display_name":"Convergence (economics)","score":0.7069182395935059},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.609839141368866},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.6080080270767212},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.5628523826599121},{"id":"https://openalex.org/keywords/variables","display_name":"Variables","score":0.5000836849212646},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.4901772141456604},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46022161841392517},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4155842959880829},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36975544691085815},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1994701325893402},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.17339876294136047},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07336273789405823}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7069182395935059},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.609839141368866},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.6080080270767212},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.5628523826599121},{"id":"https://openalex.org/C27574286","wikidata":"https://www.wikidata.org/wiki/Q320723","display_name":"Variables","level":2,"score":0.5000836849212646},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.4901772141456604},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46022161841392517},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4155842959880829},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36975544691085815},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1994701325893402},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.17339876294136047},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07336273789405823},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms13080511","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13080511","pdf_url":"https://www.mdpi.com/2075-1680/13/8/511/pdf?version=1722244417","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:65063dd2c8134a2f944438f1fdae256f","is_oa":false,"landing_page_url":"https://doaj.org/article/65063dd2c8134a2f944438f1fdae256f","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 13, Iss 8, p 511 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms13080511","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13080511","pdf_url":"https://www.mdpi.com/2075-1680/13/8/511/pdf?version=1722244417","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4401073936.pdf"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1966695467","https://openalex.org/W1978989404","https://openalex.org/W2008809748","https://openalex.org/W2028864442","https://openalex.org/W2040378909","https://openalex.org/W2060599345","https://openalex.org/W2061945704","https://openalex.org/W2065219958","https://openalex.org/W2097684976","https://openalex.org/W2126797434","https://openalex.org/W2128731322","https://openalex.org/W2596037702","https://openalex.org/W2732003756","https://openalex.org/W2789896288","https://openalex.org/W4232359765","https://openalex.org/W4245577611","https://openalex.org/W4250954493","https://openalex.org/W4285036800"],"related_works":["https://openalex.org/W1517908938","https://openalex.org/W2047131671","https://openalex.org/W3007838749","https://openalex.org/W2181432034","https://openalex.org/W4237951173","https://openalex.org/W2892807868","https://openalex.org/W4385826423","https://openalex.org/W3043435145","https://openalex.org/W4311072340","https://openalex.org/W4375841781"],"abstract_inverted_index":{"This":[0,39],"paper":[1],"introduces":[2],"an":[3],"innovative":[4],"concentration":[5],"inequality":[6,25],"for":[7,55],"Extended":[8],"Negative":[9],"Dependence":[10],"(END)":[11],"random":[12],"variables,":[13,49],"providing":[14],"new":[15],"insights":[16],"into":[17],"their":[18,56],"almost":[19],"complete":[20],"convergence.":[21],"We":[22],"apply":[23],"this":[24],"to":[26,61],"analyze":[27],"END":[28,48,70],"variable":[29,82],"sequences,":[30],"particularly":[31],"focusing":[32],"on":[33],"the":[34,42,51,63],"first-order":[35],"auto-regressive":[36],"(AR(1))":[37],"model.":[38],"application":[40],"highlights":[41],"dynamics":[43],"and":[44,66,77],"convergence":[45],"properties":[46],"of":[47,69],"expanding":[50],"analytical":[52],"tools":[53],"available":[54],"study.":[57],"Our":[58],"findings":[59],"contribute":[60],"both":[62],"theoretical":[64],"understanding":[65,81],"practical":[67],"applications":[68],"variables":[71],"in":[72],"fields":[73],"such":[74],"as":[75],"finance":[76],"machine":[78],"learning,":[79],"where":[80],"dependencies":[83],"is":[84],"crucial.":[85]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}