{"id":"https://openalex.org/W7127916368","doi":"https://doi.org/10.1080/00029890.2025.2594389","title":"Does the Convex Order Between the Distributions of Linear Functionals Imply the Convex Order Between the Probability Distributions Over \u211d <i> <sup>d</sup> </i> ?","display_name":"Does the Convex Order Between the Distributions of Linear Functionals Imply the Convex Order Between the Probability Distributions Over \u211d <i> <sup>d</sup> </i> ?","publication_year":2026,"publication_date":"2026-02-05","ids":{"openalex":"https://openalex.org/W7127916368","doi":"https://doi.org/10.1080/00029890.2025.2594389"},"language":"en","primary_location":{"id":"doi:10.1080/00029890.2025.2594389","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2025.2594389","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","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/A5058378725","display_name":"Iosif Pinelis","orcid":"https://orcid.org/0000-0003-4742-5789"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Iosif Pinelis","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-4742-5789","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5058378725"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12877175,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"133","issue":"3","first_page":"281","last_page":"284"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.10989999771118164,"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/T11716","display_name":"Random Matrices and Applications","score":0.10989999771118164,"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/T11720","display_name":"Probability and Risk Models","score":0.09529999643564224,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.06319999694824219,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/regular-polygon","display_name":"Regular polygon","score":0.6389999985694885},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.6238999962806702},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.6040999889373779},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5958999991416931},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.5676000118255615},{"id":"https://openalex.org/keywords/proper-convex-function","display_name":"Proper convex function","score":0.5024999976158142},{"id":"https://openalex.org/keywords/logarithmically-convex-function","display_name":"Logarithmically convex function","score":0.47850000858306885},{"id":"https://openalex.org/keywords/probability-measure","display_name":"Probability measure","score":0.4684999883174896},{"id":"https://openalex.org/keywords/k-distribution","display_name":"K-distribution","score":0.4521999955177307}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.745199978351593},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6389999985694885},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.6238999962806702},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.6040999889373779},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5958999991416931},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.5676000118255615},{"id":"https://openalex.org/C50862404","wikidata":"https://www.wikidata.org/wiki/Q3075259","display_name":"Proper convex function","level":5,"score":0.5024999976158142},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48019999265670776},{"id":"https://openalex.org/C136719777","wikidata":"https://www.wikidata.org/wiki/Q3610230","display_name":"Logarithmically convex function","level":5,"score":0.47850000858306885},{"id":"https://openalex.org/C21031990","wikidata":"https://www.wikidata.org/wiki/Q355020","display_name":"Probability measure","level":2,"score":0.4684999883174896},{"id":"https://openalex.org/C128963836","wikidata":"https://www.wikidata.org/wiki/Q6322815","display_name":"K-distribution","level":3,"score":0.4521999955177307},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.44029998779296875},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.4343000054359436},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.414000004529953},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.36629998683929443},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36489999294281006},{"id":"https://openalex.org/C115483411","wikidata":"https://www.wikidata.org/wiki/Q3075186","display_name":"Convex conjugate","level":5,"score":0.34369999170303345},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.337799996137619},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3312000036239624},{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.3188999891281128},{"id":"https://openalex.org/C44082924","wikidata":"https://www.wikidata.org/wiki/Q1767128","display_name":"Order statistic","level":2,"score":0.31529998779296875},{"id":"https://openalex.org/C158557763","wikidata":"https://www.wikidata.org/wiki/Q5166603","display_name":"Convolution of probability distributions","level":4,"score":0.2809000015258789},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.26899999380111694},{"id":"https://openalex.org/C18912344","wikidata":"https://www.wikidata.org/wiki/Q866810","display_name":"Generalized inverse Gaussian distribution","level":5,"score":0.2578999996185303},{"id":"https://openalex.org/C122203268","wikidata":"https://www.wikidata.org/wiki/Q5862903","display_name":"Probability theory","level":2,"score":0.2529999911785126},{"id":"https://openalex.org/C6018138","wikidata":"https://www.wikidata.org/wiki/Q332715","display_name":"Absolutely convex set","level":5,"score":0.25290000438690186},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.25119999051094055}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00029890.2025.2594389","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2025.2594389","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","raw_type":"journal-article"},{"id":"pmh:oai:digitalcommons.mtu.edu:michigantech-p2-3461","is_oa":false,"landing_page_url":"https://digitalcommons.mtu.edu/michigantech-p2/2400","pdf_url":null,"source":{"id":"https://openalex.org/S4377196391","display_name":"Digital Commons - Michigan Tech (Michigan Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I11957088","host_organization_name":"Michigan Technological University","host_organization_lineage":["https://openalex.org/I11957088"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Michigan Tech Publications","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4728754460811615,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1995118028","https://openalex.org/W2050495532","https://openalex.org/W2065861083","https://openalex.org/W2106516108","https://openalex.org/W2395979345","https://openalex.org/W4245777296","https://openalex.org/W4292070096"],"related_works":[],"abstract_inverted_index":{"It":[0],"is":[1,44],"shown":[2],"that":[3,35],"the":[4,8,16,20,32,47,73],"convex":[5,17,63,79],"order":[6,18],"between":[7,19],"distributions":[9,22,49],"of":[10,50,75,78,82],"linear":[11,51,83],"functionals":[12,84],"does":[13],"not":[14,61],"imply":[15],"probability":[21,37],"over":[23],"Rd":[24,66],"if":[25],"d\u22652.":[26],"This":[27],"stands":[28],"in":[29,39],"contrast":[30],"with":[31],"well-known":[33],"fact":[34],"any":[36,42,59],"distribution":[38],"Rd,":[40],"for":[41,58],"d\u22651,":[43],"determined":[45],"by":[46],"corresponding":[48],"functionals.":[52],"By":[53],"duality,":[54],"it":[55],"follows":[56],"that,":[57],"d\u22652,":[60],"all":[62],"functions":[64,80],"from":[65],"to":[67],"R":[68],"can":[69],"be":[70],"represented":[71],"as":[72],"limits":[74],"sums":[76],"\u2211i=1kgi\u00b0li":[77],"gi":[81],"li":[85],"on":[86],"Rd.":[87]},"counts_by_year":[],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2026-02-07T00:00:00"}
