{"id":"https://openalex.org/W2328600520","doi":"https://doi.org/10.14736/kyb-2016-1-0052","title":"Strong Convergence for weighed sums of negatively superadditive dependent random variables","display_name":"Strong Convergence for weighed sums of negatively superadditive dependent random variables","publication_year":2016,"publication_date":"2016-03-20","ids":{"openalex":"https://openalex.org/W2328600520","doi":"https://doi.org/10.14736/kyb-2016-1-0052","mag":"2328600520"},"language":"en","primary_location":{"id":"doi:10.14736/kyb-2016-1-0052","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2016-1-0052","pdf_url":"https://www.kybernetika.cz/content/2016/1/52/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.kybernetika.cz/content/2016/1/52/paper.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100370053","display_name":"Zhiyong Chen","orcid":"https://orcid.org/0000-0002-2033-4249"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Zhiyong Chen","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036173436","display_name":"Haibin Wang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Haibin Wang","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100633773","display_name":"Xuejun Wang","orcid":"https://orcid.org/0000-0001-9990-1391"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xuejun Wang","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5044344798","display_name":"Shuhe Hu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shuhe Hu","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100370053"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02823862,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"52","last_page":"65"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11720","display_name":"Probability and Risk Models","score":0.9937999844551086,"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":0.9937999844551086,"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9477999806404114,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/superadditivity","display_name":"Superadditivity","score":0.9789001941680908},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.8911733031272888},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7168127298355103},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.6859697699546814},{"id":"https://openalex.org/keywords/convergence-of-random-variables","display_name":"Convergence of random variables","score":0.4921490550041199},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4800606667995453},{"id":"https://openalex.org/keywords/law-of-large-numbers","display_name":"Law of large numbers","score":0.47295066714286804},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.34593793749809265},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32904189825057983},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.20164847373962402},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.04945927858352661}],"concepts":[{"id":"https://openalex.org/C20017120","wikidata":"https://www.wikidata.org/wiki/Q922087","display_name":"Superadditivity","level":2,"score":0.9789001941680908},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.8911733031272888},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7168127298355103},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.6859697699546814},{"id":"https://openalex.org/C95763700","wikidata":"https://www.wikidata.org/wiki/Q578985","display_name":"Convergence of random variables","level":3,"score":0.4921490550041199},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4800606667995453},{"id":"https://openalex.org/C185767445","wikidata":"https://www.wikidata.org/wiki/Q207952","display_name":"Law of large numbers","level":3,"score":0.47295066714286804},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.34593793749809265},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32904189825057983},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.20164847373962402},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.04945927858352661},{"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:10.14736/kyb-2016-1-0052","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2016-1-0052","pdf_url":"https://www.kybernetika.cz/content/2016/1/52/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},{"id":"pmh:oai:oai.dml.cz:10338.dmlcz/144862","is_oa":true,"landing_page_url":"http://hdl.handle.net/10338.dmlcz/144862","pdf_url":"http://dml.cz/bitstream/handle/10338.dmlcz/144862/Kybernetika_52-2016-1_4.pdf","source":{"id":"https://openalex.org/S4406922294","display_name":"Czech digital mathematics library","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":null,"raw_type":"text:not_categorized"}],"best_oa_location":{"id":"doi:10.14736/kyb-2016-1-0052","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2016-1-0052","pdf_url":"https://www.kybernetika.cz/content/2016/1/52/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.550000011920929,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"},{"score":0.4399999976158142,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G197772616","display_name":null,"funder_award_id":"11501004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4385445291","display_name":null,"funder_award_id":"11471272","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5090796622","display_name":null,"funder_award_id":"11171001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8007819821","display_name":null,"funder_award_id":"11501005","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G848941701","display_name":null,"funder_award_id":"11201001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321878","display_name":"Natural Science Foundation of Fujian Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2328600520.pdf","grobid_xml":"https://content.openalex.org/works/W2328600520.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1963598048","https://openalex.org/W1966695467","https://openalex.org/W1973218580","https://openalex.org/W1981604690","https://openalex.org/W1984416451","https://openalex.org/W1991265199","https://openalex.org/W2006090261","https://openalex.org/W2012175651","https://openalex.org/W2014482732","https://openalex.org/W2042006039","https://openalex.org/W2042373586","https://openalex.org/W2043137569","https://openalex.org/W2055252265","https://openalex.org/W2055995995","https://openalex.org/W2058752494","https://openalex.org/W2061197393","https://openalex.org/W2067354276","https://openalex.org/W2078337030","https://openalex.org/W2079944051","https://openalex.org/W2082299999","https://openalex.org/W2084712988","https://openalex.org/W2113505881","https://openalex.org/W2117822048","https://openalex.org/W2119825421","https://openalex.org/W2157910168","https://openalex.org/W2166005001","https://openalex.org/W2368596734"],"related_works":["https://openalex.org/W2404513779","https://openalex.org/W2011535285","https://openalex.org/W3151748636","https://openalex.org/W1758880537","https://openalex.org/W2917004389","https://openalex.org/W2008809748","https://openalex.org/W2064362460","https://openalex.org/W1521061676","https://openalex.org/W3141390136","https://openalex.org/W2318856760"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,27,43],"strong":[4],"law":[5],"of":[6,12,30,45],"large":[7],"numbers":[8],"for":[9,35],"weighted":[10],"sums":[11],"negatively":[13],"superadditive":[14],"dependent":[15],"(NSD,":[16],"in":[17],"short)":[18],"random":[19,40,47],"variables":[20,41],"is":[21],"obtained,":[22],"which":[23],"generalizes":[24],"and":[25,32,37],"improves":[26],"corresponding":[28],"one":[29],"Bai":[31],"Cheng":[33],"([2])":[34],"independent":[36],"identically":[38],"distributed":[39],"to":[42],"case":[44],"NSD":[46],"variables.":[48]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}