{"id":"https://openalex.org/W7130350986","doi":"https://doi.org/10.1287/deca.2025.0466","title":"Asymptotic Fractional Degree Stochastic Dominance for Lognormal Prospects","display_name":"Asymptotic Fractional Degree Stochastic Dominance for Lognormal Prospects","publication_year":2026,"publication_date":"2026-02-18","ids":{"openalex":"https://openalex.org/W7130350986","doi":"https://doi.org/10.1287/deca.2025.0466"},"language":"en","primary_location":{"id":"doi:10.1287/deca.2025.0466","is_oa":false,"landing_page_url":"https://doi.org/10.1287/deca.2025.0466","pdf_url":null,"source":{"id":"https://openalex.org/S33235364","display_name":"Decision Analysis","issn_l":"1545-8490","issn":["1545-8490","1545-8504"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315699","host_organization_name":"Institute for Operations Research and the Management Sciences","host_organization_lineage":["https://openalex.org/P4310315699"],"host_organization_lineage_names":["Institute for Operations Research and the Management Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Decision Analysis","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/A5075624339","display_name":"Jiehua Xie","orcid":null},"institutions":[{"id":"https://openalex.org/I3131412887","display_name":"Jiangxi University of Technology","ror":"https://ror.org/05k2j8e48","country_code":"CN","type":"education","lineage":["https://openalex.org/I3131412887"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiehua Xie","raw_affiliation_strings":["School of Business Administration, Jiangxi University of Water Resources and Electric Power, Nanchang, Jiangxi 330013, P.R. China"],"raw_orcid":"https://orcid.org/0000-0002-1596-596X","affiliations":[{"raw_affiliation_string":"School of Business Administration, Jiangxi University of Water Resources and Electric Power, Nanchang, Jiangxi 330013, P.R. China","institution_ids":["https://openalex.org/I3131412887"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5126299659","display_name":"Wei Zou","orcid":null},"institutions":[{"id":"https://openalex.org/I4210117772","display_name":"Jiangxi Provincial Institute of Water Sciences","ror":"https://ror.org/02dnmrq53","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210117772"]},{"id":"https://openalex.org/I4510145","display_name":"Jiangxi University of Science and Technology","ror":"https://ror.org/03q0t9252","country_code":"CN","type":"education","lineage":["https://openalex.org/I4510145"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Zou","raw_affiliation_strings":["School of Science, Jiangxi University of Water Resources and Electric Power, Nanchang, Jiangxi 330013, P.R. China"],"raw_orcid":"https://orcid.org/0009-0002-5790-2032","affiliations":[{"raw_affiliation_string":"School of Science, Jiangxi University of Water Resources and Electric Power, Nanchang, Jiangxi 330013, P.R. China","institution_ids":["https://openalex.org/I4510145","https://openalex.org/I4210117772"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20375946,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"23","issue":"2","first_page":"114","last_page":"128"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.8144000172615051,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.8144000172615051,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.09000000357627869,"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/T10315","display_name":"Decision-Making and Behavioral Economics","score":0.0272000003606081,"subfield":{"id":"https://openalex.org/subfields/1800","display_name":"General Decision Sciences"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stochastic-dominance","display_name":"Stochastic dominance","score":0.8689000010490417},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.4343000054359436},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.42890000343322754},{"id":"https://openalex.org/keywords/dominance","display_name":"Dominance (genetics)","score":0.40400001406669617},{"id":"https://openalex.org/keywords/asymptotic-analysis","display_name":"Asymptotic analysis","score":0.38999998569488525},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.36340001225471497},{"id":"https://openalex.org/keywords/stochastic-modelling","display_name":"Stochastic modelling","score":0.3361999988555908}],"concepts":[{"id":"https://openalex.org/C33252445","wikidata":"https://www.wikidata.org/wiki/Q3713315","display_name":"Stochastic dominance","level":2,"score":0.8689000010490417},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7276999950408936},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48249998688697815},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4350999891757965},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.4343000054359436},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.42890000343322754},{"id":"https://openalex.org/C151913843","wikidata":"https://www.wikidata.org/wiki/Q3454555","display_name":"Dominance (genetics)","level":3,"score":0.40400001406669617},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4000000059604645},{"id":"https://openalex.org/C119047807","wikidata":"https://www.wikidata.org/wiki/Q752718","display_name":"Asymptotic analysis","level":2,"score":0.38999998569488525},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.36340001225471497},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.35740000009536743},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.3361999988555908},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.32839998602867126},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.30410000681877136},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.2973000109195709},{"id":"https://openalex.org/C11683690","wikidata":"https://www.wikidata.org/wiki/Q752726","display_name":"Asymptotic expansion","level":2,"score":0.2971000075340271},{"id":"https://openalex.org/C151620405","wikidata":"https://www.wikidata.org/wiki/Q826116","display_name":"Log-normal distribution","level":2,"score":0.28130000829696655},{"id":"https://openalex.org/C65778772","wikidata":"https://www.wikidata.org/wiki/Q12345341","display_name":"Asymptotic distribution","level":3,"score":0.2721000015735626},{"id":"https://openalex.org/C205706631","wikidata":"https://www.wikidata.org/wiki/Q2319304","display_name":"Expected utility hypothesis","level":2,"score":0.2660999894142151},{"id":"https://openalex.org/C84839998","wikidata":"https://www.wikidata.org/wiki/Q5249245","display_name":"Decision rule","level":2,"score":0.25279998779296875}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1287/deca.2025.0466","is_oa":false,"landing_page_url":"https://doi.org/10.1287/deca.2025.0466","pdf_url":null,"source":{"id":"https://openalex.org/S33235364","display_name":"Decision Analysis","issn_l":"1545-8490","issn":["1545-8490","1545-8504"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315699","host_organization_name":"Institute for Operations Research and the Management Sciences","host_organization_lineage":["https://openalex.org/P4310315699"],"host_organization_lineage_names":["Institute for Operations Research and the Management Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Decision Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7695130705833435,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W1501279792","https://openalex.org/W1967067168","https://openalex.org/W1982042814","https://openalex.org/W1993962350","https://openalex.org/W2019025561","https://openalex.org/W2060744101","https://openalex.org/W2062389098","https://openalex.org/W2064970393","https://openalex.org/W2071110789","https://openalex.org/W2093479969","https://openalex.org/W2100513203","https://openalex.org/W2125120413","https://openalex.org/W2137689207","https://openalex.org/W2145224101","https://openalex.org/W2145825528","https://openalex.org/W2145964516","https://openalex.org/W2145977195","https://openalex.org/W2151388084","https://openalex.org/W2160010213","https://openalex.org/W2161691912","https://openalex.org/W2195128254","https://openalex.org/W2241472803","https://openalex.org/W2557558739","https://openalex.org/W2591322695","https://openalex.org/W2906913962","https://openalex.org/W2953526723","https://openalex.org/W2970475915","https://openalex.org/W3011865677","https://openalex.org/W3011941905","https://openalex.org/W3012080916","https://openalex.org/W3023970436","https://openalex.org/W3121958765","https://openalex.org/W3122079455","https://openalex.org/W3122534813","https://openalex.org/W3124199429","https://openalex.org/W3180236477","https://openalex.org/W4205443003","https://openalex.org/W4220849380","https://openalex.org/W4220899102","https://openalex.org/W4243522648","https://openalex.org/W4297284538","https://openalex.org/W4323315862","https://openalex.org/W4376646767","https://openalex.org/W4387140319","https://openalex.org/W4389516476","https://openalex.org/W4402482990","https://openalex.org/W4403063414","https://openalex.org/W4403370597","https://openalex.org/W4403978961","https://openalex.org/W4407003578","https://openalex.org/W4407755925","https://openalex.org/W4413196068"],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1,77],"paper,":[2],"we":[3,79,127],"propose":[4],"a":[5,13,129,161],"continuum":[6],"of":[7,50,65,84,99,107,131,182,190,224,233],"asymptotic":[8,32,85,108,132,141,155,191,204],"stochastic":[9,36,88,111,135,144,158,192],"dominance":[10,37,159,193],"criteria":[11,28],"as":[12,139],"novel":[14],"rule":[15],"for":[16,165],"comparing":[17],"and":[18,34,39,90,146,228,238],"ranking":[19,166],"prospects":[20,167],"in":[21,168,211],"long":[22,169],"term":[23,170],"decision-making":[24,171],"contexts.":[25,172],"The":[26,153],"new":[27],"encompass":[29],"the":[30,41,48,82,97,105,186,200,219,229],"established":[31],"first-degree":[33],"second-degree":[35],"criteria,":[38],"between":[40],"two":[42],"integer":[43],"degrees,":[44],"they":[45],"effectively":[46,209],"characterize":[47],"preferences":[49],"decision":[51,118,183],"makers":[52,184],"who":[53],"are":[54,125],"predominantly":[55],"risk":[56],"averse":[57],"but":[58],"do":[59],"not":[60],"categorically":[61],"dislike":[62],"all":[63],"forms":[64],"risk,":[66],"that":[67,122,199],"is,":[68],"those":[69],"whose":[70],"utility":[71,120],"functions":[72,121],"exhibit":[73],"local":[74],"convexities.":[75],"To":[76],"end,":[78],"first":[80],"introduce":[81,128],"concept":[83],"fractional":[86,109,133,142,156,205],"degree":[87,110,134,143,157,206],"dominance,":[89,112,136,145],"then":[91],"derive":[92,147],"its":[93,148],"equivalent":[94,150,187],"conditions":[95,189],"under":[96,113],"assumption":[98],"lognormal":[100],"distributions.":[101],"Furthermore,":[102],"to":[103,138],"enhance":[104],"tractability":[106],"an":[114],"additional":[115],"condition":[116],"on":[117,179],"makers\u2019":[119],"marginal":[123,180],"utilities":[124,181],"finite,":[126],"variant":[130],"referred":[137],"operational":[140],"corresponding":[149],"distributional":[151,188],"characterizations.":[152],"(operational)":[154,203],"offers":[160],"more":[162],"comprehensive":[163],"criterion":[164],"This":[173,214],"study":[174],"elucidates":[175],"how":[176],"various":[177],"constraints":[178],"shape":[185],"criteria.":[194],"Empirical":[195],"examples":[196],"also":[197],"illustrate":[198],"newly":[201],"proposed":[202],"can":[207],"be":[208],"utilized":[210],"practice.":[212],"Funding:":[213],"work":[215],"was":[216],"supported":[217],"by":[218],"National":[220],"Natural":[221,230],"Science":[222,231],"Foundation":[223,232],"China":[225],"[Grant":[226],"72271113]":[227],"Jiangxi":[234],"Province":[235],"[Grants":[236],"20232ACB201003":[237],"20232BAB201022].":[239]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-02-19T00:00:00"}
