{"id":"https://openalex.org/W2028459208","doi":"https://doi.org/10.1155/2012/436531","title":"Extended Precise Large Deviations of Random Sums in the Presence of END Structure and Consistent Variation","display_name":"Extended Precise Large Deviations of Random Sums in the Presence of END Structure and Consistent Variation","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2028459208","doi":"https://doi.org/10.1155/2012/436531","mag":"2028459208"},"language":"en","primary_location":{"id":"doi:10.1155/2012/436531","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/436531","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/436531.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2012/436531.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100374843","display_name":"Shijie Wang","orcid":"https://orcid.org/0000-0002-1550-9200"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shijie Wang","raw_affiliation_strings":["School of Mathematic Sciences, Anhui University, Hefei, Anhui 230601"],"affiliations":[{"raw_affiliation_string":"School of Mathematic Sciences, Anhui University, Hefei, Anhui 230601","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100720710","display_name":"Wensheng Wang","orcid":"https://orcid.org/0000-0002-1768-1995"},"institutions":[{"id":"https://openalex.org/I163151501","display_name":"Hangzhou Normal University","ror":"https://ror.org/014v1mr15","country_code":"CN","type":"education","lineage":["https://openalex.org/I163151501"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wensheng Wang","raw_affiliation_strings":["Department of Mathematics, Hangzhou Normal University, Hangzhou 310036"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hangzhou Normal University, Hangzhou 310036","institution_ids":["https://openalex.org/I163151501"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100374843"],"corresponding_institution_ids":["https://openalex.org/I143868143"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":1.6559,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.84937821,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2012","issue":"1","first_page":null,"last_page":null},"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":0.9923999905586243,"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/T12011","display_name":"Insurance, Mortality, Demography, Risk Management","score":0.9883000254631042,"subfield":{"id":"https://openalex.org/subfields/3317","display_name":"Demography"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/variation","display_name":"Variation (astronomy)","score":0.6621095538139343},{"id":"https://openalex.org/keywords/large-deviations-theory","display_name":"Large deviations theory","score":0.647994875907898},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5751399397850037},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5022947788238525},{"id":"https://openalex.org/keywords/zh\u00e0ng","display_name":"Zh\u00e0ng","score":0.482793927192688},{"id":"https://openalex.org/keywords/chen","display_name":"Chen","score":0.4772093892097473},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3253825902938843},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.30929118394851685},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14094460010528564}],"concepts":[{"id":"https://openalex.org/C2778334786","wikidata":"https://www.wikidata.org/wiki/Q1586270","display_name":"Variation (astronomy)","level":2,"score":0.6621095538139343},{"id":"https://openalex.org/C75438885","wikidata":"https://www.wikidata.org/wiki/Q3403615","display_name":"Large deviations theory","level":2,"score":0.647994875907898},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5751399397850037},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5022947788238525},{"id":"https://openalex.org/C2777045944","wikidata":"https://www.wikidata.org/wiki/Q12170198","display_name":"Zh\u00e0ng","level":3,"score":0.482793927192688},{"id":"https://openalex.org/C2776085556","wikidata":"https://www.wikidata.org/wiki/Q183361","display_name":"Chen","level":2,"score":0.4772093892097473},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3253825902938843},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.30929118394851685},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14094460010528564},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C191935318","wikidata":"https://www.wikidata.org/wiki/Q148","display_name":"China","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2012/436531","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/436531","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/436531.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1355495074","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1355495074","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:436531","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2012/436531.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:14201d002e454c4e9624b45fc6c0dd6c","is_oa":true,"landing_page_url":"https://doaj.org/article/14201d002e454c4e9624b45fc6c0dd6c","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/436531","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/436531","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/436531.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4399999976158142,"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth"}],"awards":[{"id":"https://openalex.org/G2619189829","display_name":null,"funder_award_id":"2011SQRL012ZD","funder_id":"https://openalex.org/F4320321435","funder_display_name":"Anhui University"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4648473786","display_name":null,"funder_award_id":"2011SQRL012ZD","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6910121385","display_name":null,"funder_award_id":"2009QN020B","funder_id":"https://openalex.org/F4320321435","funder_display_name":"Anhui University"},{"id":"https://openalex.org/G7407689685","display_name":null,"funder_award_id":"11071076","funder_id":"https://openalex.org/F4320321435","funder_display_name":"Anhui University"},{"id":"https://openalex.org/G7608752429","display_name":null,"funder_award_id":"Talent","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G807070257","display_name":null,"funder_award_id":"211 Project","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8569467630","display_name":null,"funder_award_id":"11071076","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8963442870","display_name":null,"funder_award_id":"2009QN020B","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/F4320321435","display_name":"Anhui University","ror":"https://ror.org/05th6yx34"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2028459208.pdf","grobid_xml":"https://content.openalex.org/works/W2028459208.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1965951725","https://openalex.org/W1969865602","https://openalex.org/W1981608976","https://openalex.org/W1996672362","https://openalex.org/W2008809748","https://openalex.org/W2010074743","https://openalex.org/W2019470284","https://openalex.org/W2027348105","https://openalex.org/W2040378909","https://openalex.org/W2045643950","https://openalex.org/W2060722073","https://openalex.org/W2086005600","https://openalex.org/W2142226753"],"related_works":["https://openalex.org/W2364559953","https://openalex.org/W2375840727","https://openalex.org/W2792944589","https://openalex.org/W2384986722","https://openalex.org/W3210957918","https://openalex.org/W2352935415","https://openalex.org/W614733869","https://openalex.org/W2137556991","https://openalex.org/W2981922349","https://openalex.org/W3104380573"],"abstract_inverted_index":{"The":[0,38],"study":[1],"of":[2,6,24,30,43,59,64],"precise":[3,21,56],"large":[4,22,57],"deviations":[5,23,58],"random":[7,25],"sums":[8,26],"is":[9],"an":[10,54],"important":[11],"topic":[12],"in":[13,27],"insurance":[14],"and":[15,33,45,48],"finance.":[16],"In":[17],"this":[18],"paper,":[19],"extended":[20],"the":[28,60],"presence":[29],"END":[31],"structure":[32],"consistent":[34],"variation":[35],"are":[36,68],"investigated.":[37],"obtained":[39],"results":[40],"extend":[41],"those":[42],"Chen":[44,49],"Zhang":[46],"(2007)":[47],"et":[50],"al.":[51],"(2011).":[52],"As":[53],"application,":[55],"prospective\u2010":[61],"loss":[62],"process":[63],"a":[65],"quasirenewal":[66],"model":[67],"considered.":[69]},"counts_by_year":[{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2025-10-10T00:00:00"}