{"id":"https://openalex.org/W1997464530","doi":"https://doi.org/10.1137/1124098","title":"Large Deviation Probabilities for Sums of Functions of Mixing Sequences","display_name":"Large Deviation Probabilities for Sums of Functions of Mixing Sequences","publication_year":1980,"publication_date":"1980-01-01","ids":{"openalex":"https://openalex.org/W1997464530","doi":"https://doi.org/10.1137/1124098","mag":"1997464530"},"language":"en","primary_location":{"id":"doi:10.1137/1124098","doi":"https://doi.org/10.1137/1124098","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1124098","pdf_url":null,"source":{"id":"https://openalex.org/S177771411","display_name":"Theory of Probability and Its Applications","issn_l":"0040-585X","issn":["0040-585X","1095-7219"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","cwts-core","jufo-1","norway-1"],"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":"Theory of Probability &amp; Its Applications","raw_type":"journal-article"},"volume":null,"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/A5068717247","display_name":"V. T. Dubrovin","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"V. T. Dubrovin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5028651810","display_name":"D. A. Moskvin","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"D. A. Moskvin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.14235098,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"24","issue":"4","first_page":"838","last_page":"845"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13500","display_name":"Probability and Statistical Research","score":0.9779999852180481,"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/T13500","display_name":"Probability and Statistical Research","score":0.9779999852180481,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.00559999980032444,"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"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.004999999888241291,"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/large-deviation-probabilities","display_name":"large deviation probabilities","score":0.9549999833106995},{"id":"https://openalex.org/keywords/mixing-sequences","display_name":"mixing sequence","score":0.8880000114440918},{"id":"https://openalex.org/keywords/weakly-dependent-random-variables","display_name":"weakly dependent random variables","score":0.8339999914169312},{"id":"https://openalex.org/keywords/central-limit-theorem","display_name":"central limit theorem","score":0.8320000171661377},{"id":"https://openalex.org/keywords/probability-inequalities","display_name":"probability inequalities","score":0.6389999985694885}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6647131443023682},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5574279427528381},{"id":"https://openalex.org/C185767445","wikidata":"https://www.wikidata.org/wiki/Q207952","display_name":"Law of large numbers","level":3,"score":0.5503904819488525},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5320528149604797},{"id":"https://openalex.org/C166785042","wikidata":"https://www.wikidata.org/wiki/Q190391","display_name":"Central limit theorem","level":2,"score":0.47102150321006775},{"id":"https://openalex.org/C2776142590","wikidata":"https://www.wikidata.org/wiki/Q1164699","display_name":"struct","level":2,"score":0.44842201471328735},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.43113481998443604},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.42871755361557007},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3668716847896576},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3598119616508484},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.3356819152832031},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3275769352912903},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2624639570713043},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18910658359527588},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18079179525375366},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1660797894001007},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/1124098","doi":"https://doi.org/10.1137/1124098","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1124098","pdf_url":null,"source":{"id":"https://openalex.org/S177771411","display_name":"Theory of Probability and Its Applications","issn_l":"0040-585X","issn":["0040-585X","1095-7219"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","cwts-core","jufo-1","norway-1"],"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":"Theory of Probability &amp; Its Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W2062850703"],"related_works":["https://openalex.org/W2083912123","https://openalex.org/W1507431990","https://openalex.org/W4226428391","https://openalex.org/W2049382011","https://openalex.org/W4200635334","https://openalex.org/W4312163552","https://openalex.org/W1987222273","https://openalex.org/W2086602917","https://openalex.org/W2325559318","https://openalex.org/W4231167465"],"abstract_inverted_index":{"Previous":[0,160],"article":[1,3,161,163],"Next":[2,162],"Large":[4,63],"Deviation":[5],"Probabilities":[6],"for":[7,43,70,186,202],"Sums":[8],"of":[9,11,45,47,72,74,108,124,171],"Functions":[10],"Mixing":[12],"SequencesV.":[13],"T.":[14,20,33,61],"Dubrovin":[15,21,34],"and":[16,22,35,80,99,105,188,204],"D.":[17,23,37],"A.":[18,24,38,97],"MoskvinV.":[19],"Moskvinhttps://doi.org/10.1137/1124098PDFBibTexSections":[25],"ToolsAdd":[26],"to":[27],"favoritesExport":[28],"CitationTrack":[29],"CitationsEmail":[30],"SectionsAbout[1]":[31],"V.":[32,60,102,120,121,138],",":[36,100],"Moskvin,":[39],"Central":[40],"limit":[41,68,126],"theorem":[42,69],"sums":[44,71],"functions":[46,73],"missing":[48],"sequences,":[49],"Theory":[50],"Prob.":[51],"Applications,":[52],"24":[53],"(1979),":[54],"560\u2013571":[55],"10.1137/1124065":[56],"0435.60025":[57],"LinkGoogle":[58],"Scholar[2]":[59],"Dubrovin,":[62],"deviations":[64],"in":[65],"a":[66],"central":[67],"weakly":[75],"dependent":[76],"random":[77,109],"variablesProbabilistic":[78],"methods":[79],"cybernetics,":[81],"No.":[82],"9":[83,132],"(Russian),":[84],"Izdat.":[85],"Kazan.":[86],"Univ.,":[87],"Kazan,":[88],"1971,":[89,114],"34\u201344,":[90],"(In":[91],"Russian.)":[92],"MR0317376":[93],"Google":[94,118,136,158],"Scholar[3]":[95],"I.":[96],"Ibragimov":[98],"Yu.":[101],"Linnik,":[103],"Independent":[104],"stationary":[106],"sequences":[107],"variables,":[110],"Wolters-Noordhoff":[111],"Publishing,":[112],"Groningen,":[113],"443\u2013":[115],"MR0322926":[116],"0219.60027":[117],"Scholar[4]":[119],"Petrov,":[122],"Generalization":[123],"Cram\u00e9r's":[125],"theorem,":[127],"Uspehi":[128],"Matem.":[129],"Nauk":[130,152],"(N.S.),":[131],"(1954),":[133],"195\u2013202":[134],"MR0065058":[135],"Scholar[5]":[137],"M.":[139],"Zolotarev,":[140],"Several":[141],"new":[142],"probabilistic":[143],"inequalities":[144],"connected":[145],"with":[146],"the":[147],"L\u00e9vy":[148],"metric,":[149],"Dokl.":[150],"Akad.":[151],"SSSR,":[153],"190":[154],"(1970),":[155],"1019\u20131021":[156],"MR0256440":[157],"Scholar":[159],"FiguresRelatedReferencesCited":[164],"byDetails":[165],"Volume":[166],"24,":[167],"Issue":[168],"4|":[169],"1980Theory":[170],"Probability":[172],"&":[173,193],"Its":[174],"Applications":[175],"History":[176],"Submitted:27":[177],"January":[178],"1977Published":[179],"online:17":[180],"July":[181],"2006":[182],"InformationCopyright":[183],"\u00a9":[184],"Society":[185],"Industrial":[187,203],"Applied":[189,205],"MathematicsPDF":[190],"Download":[191],"Article":[192],"Publication":[194],"DataArticle":[195],"DOI:10.1137/1124098Article":[196],"page":[197],"range:pp.":[198],"838-845ISSN":[199],"(print):0040-585XISSN":[200],"(online):1095-7219Publisher:Society":[201],"Mathematics":[206]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
