{"id":"https://openalex.org/W2052977484","doi":"https://doi.org/10.1137/1031004","title":"Some Results on Maximum Entropy Distributions for Parameters Known to Lie in Finite Intervals","display_name":"Some Results on Maximum Entropy Distributions for Parameters Known to Lie in Finite Intervals","publication_year":1989,"publication_date":"1989-03-01","ids":{"openalex":"https://openalex.org/W2052977484","doi":"https://doi.org/10.1137/1031004","mag":"2052977484"},"language":"en","primary_location":{"id":"doi:10.1137/1031004","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1031004","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"SIAM Review","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/A5039655443","display_name":"Firdaus E. Udwadia","orcid":"https://orcid.org/0000-0003-1055-4165"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Firdaus E. Udwadia","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5039655443"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.23985765,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"31","issue":"1","first_page":"103","last_page":"109"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9733999967575073,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9733999967575073,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"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/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.7212380766868591},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.7036568522453308},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7006542086601257},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6718735098838806},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5481423139572144},{"id":"https://openalex.org/keywords/maximum-entropy-probability-distribution","display_name":"Maximum entropy probability distribution","score":0.5329269766807556},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5289119482040405},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.5014824867248535},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.4773450195789337},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.38242003321647644},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.34175562858581543},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1130945086479187},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08507895469665527},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.05869677662849426}],"concepts":[{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.7212380766868591},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.7036568522453308},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7006542086601257},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6718735098838806},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5481423139572144},{"id":"https://openalex.org/C60507348","wikidata":"https://www.wikidata.org/wiki/Q6795892","display_name":"Maximum entropy probability distribution","level":3,"score":0.5329269766807556},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5289119482040405},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.5014824867248535},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.4773450195789337},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.38242003321647644},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.34175562858581543},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1130945086479187},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08507895469665527},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.05869677662849426},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/1031004","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1031004","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"SIAM Review","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1995875735","https://openalex.org/W2798453649","https://openalex.org/W2993383518"],"related_works":["https://openalex.org/W2034921015","https://openalex.org/W2064875109","https://openalex.org/W59993211","https://openalex.org/W2889261288","https://openalex.org/W4385752617","https://openalex.org/W2042719478","https://openalex.org/W2068679119","https://openalex.org/W2351977092","https://openalex.org/W2048700611","https://openalex.org/W2742795413"],"abstract_inverted_index":{"his":[0],"paper":[1,28],"deals":[2],"with":[3,56],"maximum":[4],"entropy":[5],"distributions":[6,34,111],"for":[7,118],"uncertain":[8,47,69],"parameters":[9],"that":[10,30],"lie":[11],"between":[12],"two":[13],"finite":[14],"values.":[15],"Such":[16],"parameter":[17,70,87],"uncertainties":[18],"often":[19],"arise":[20],"in":[21,57,66],"the":[22,37,40,46,64,68,77,82,86,91,93,97,100,109],"modeling":[23],"of":[24,39,85,96,108],"physical":[25],"systems.":[26],"The":[27,106],"shows":[29],"these":[31,119],"maximally":[32],"unpresulrlptive":[33],"depend":[35],"on":[36],"nature":[38,107],"a":[41,74],"priori":[42],"information":[43],"available":[44],"about":[45],"parameter.":[48],"In":[49],"particular,":[50],"three":[51,120],"commonly":[52],"occurring":[53],"situations":[54,121],"met":[55],"engineering":[58],"systems":[59],"are":[60,103,122],"considered:":[61],"(1)":[62],"only":[63],"interval":[65,78],"which":[67],"lies":[71],"is":[72,88,112],"known":[73],"priori;":[75],"(2)":[76],"as":[79,81],"well":[80],"mean":[83,94],"value":[84,95],"known;":[89],"(3)":[90],"interval,":[92],"parameter,":[98],"and":[99,114],"parameter\u2019s":[101],"variance":[102],"all":[104],"known.":[105],"probability":[110],"determined":[113],"closed":[115],"form":[116],"solutions":[117],"provided.":[123]},"counts_by_year":[{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}