{"id":"https://openalex.org/W1968379110","doi":"https://doi.org/10.3390/e16021123","title":"A Relationship between the Ordinary Maximum Entropy Method and the Method of Maximum Entropy in the Mean","display_name":"A Relationship between the Ordinary Maximum Entropy Method and the Method of Maximum Entropy in the Mean","publication_year":2014,"publication_date":"2014-02-24","ids":{"openalex":"https://openalex.org/W1968379110","doi":"https://doi.org/10.3390/e16021123","mag":"1968379110"},"language":"en","primary_location":{"id":"doi:10.3390/e16021123","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e16021123","pdf_url":"https://www.mdpi.com/1099-4300/16/2/1123/pdf?version=1424785317","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/16/2/1123/pdf?version=1424785317","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026656556","display_name":"Henryk Gzyl","orcid":"https://orcid.org/0000-0002-3781-8848"},"institutions":[{"id":"https://openalex.org/I4210153497","display_name":"Institute of Advanced Studies in Administration","ror":"https://ror.org/0580grj78","country_code":"VE","type":"education","lineage":["https://openalex.org/I4210153497"]}],"countries":["VE"],"is_corresponding":true,"raw_author_name":"Henryk Gzyl","raw_affiliation_strings":["Centro de Finanzas, IESA, Ave. Iesa, San Bernardino, Caracas 1010, Venezuela"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centro de Finanzas, IESA, Ave. Iesa, San Bernardino, Caracas 1010, Venezuela","institution_ids":["https://openalex.org/I4210153497"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042104024","display_name":"Enrique ter Horst","orcid":"https://orcid.org/0000-0001-5153-1475"},"institutions":[{"id":"https://openalex.org/I4210092237","display_name":"Colegio de Estudios Superiores de Administraci\u00f3n","ror":"https://ror.org/00gm52g34","country_code":"CO","type":"education","lineage":["https://openalex.org/I4210092237"]},{"id":"https://openalex.org/I4210153497","display_name":"Institute of Advanced Studies in Administration","ror":"https://ror.org/0580grj78","country_code":"VE","type":"education","lineage":["https://openalex.org/I4210153497"]}],"countries":["CO","VE"],"is_corresponding":false,"raw_author_name":"Enrique Ter Horst","raw_affiliation_strings":["Centro de Finanzas, IESA, Ave. Iesa, San Bernardino, Caracas 1010, Venezuela","Institute 2, CESA, Calle 35 #6-16, Bogot\u00e1, Colombia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centro de Finanzas, IESA, Ave. Iesa, San Bernardino, Caracas 1010, Venezuela","institution_ids":["https://openalex.org/I4210153497"]},{"raw_affiliation_string":"Institute 2, CESA, Calle 35 #6-16, Bogot\u00e1, Colombia","institution_ids":["https://openalex.org/I4210092237"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5026656556"],"corresponding_institution_ids":["https://openalex.org/I4210153497"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":0.6441,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.66833333,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"16","issue":"2","first_page":"1123","last_page":"1133"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.7409113645553589},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6385089159011841},{"id":"https://openalex.org/keywords/maximum-entropy-probability-distribution","display_name":"Maximum entropy probability distribution","score":0.6138339638710022},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5465625524520874},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.48807990550994873},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.45235803723335266},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4500657320022583},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44813498854637146},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.4351175129413605},{"id":"https://openalex.org/keywords/maximum-entropy-thermodynamics","display_name":"Maximum entropy thermodynamics","score":0.4281077980995178},{"id":"https://openalex.org/keywords/binary-entropy-function","display_name":"Binary entropy function","score":0.31986886262893677},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23265865445137024},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19381588697433472},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0975063145160675},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08562493324279785}],"concepts":[{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.7409113645553589},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6385089159011841},{"id":"https://openalex.org/C60507348","wikidata":"https://www.wikidata.org/wiki/Q6795892","display_name":"Maximum entropy probability distribution","level":3,"score":0.6138339638710022},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5465625524520874},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.48807990550994873},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.45235803723335266},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4500657320022583},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44813498854637146},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.4351175129413605},{"id":"https://openalex.org/C49775889","wikidata":"https://www.wikidata.org/wiki/Q6795896","display_name":"Maximum entropy thermodynamics","level":4,"score":0.4281077980995178},{"id":"https://openalex.org/C44415725","wikidata":"https://www.wikidata.org/wiki/Q4913893","display_name":"Binary entropy function","level":3,"score":0.31986886262893677},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23265865445137024},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19381588697433472},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0975063145160675},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08562493324279785},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/e16021123","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e16021123","pdf_url":"https://www.mdpi.com/1099-4300/16/2/1123/pdf?version=1424785317","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:5b5f599a19704678842cae8cf8053d48","is_oa":true,"landing_page_url":"https://doaj.org/article/5b5f599a19704678842cae8cf8053d48","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 16, Iss 2, Pp 1123-1133 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e16021123","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e16021123","pdf_url":"https://www.mdpi.com/1099-4300/16/2/1123/pdf?version=1424785317","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1968379110.pdf","grobid_xml":"https://content.openalex.org/works/W1968379110.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W622277583","https://openalex.org/W1509562192","https://openalex.org/W1967391867","https://openalex.org/W1988015651","https://openalex.org/W2031130978","https://openalex.org/W2032558547","https://openalex.org/W2034921015","https://openalex.org/W2076329173","https://openalex.org/W2078645667","https://openalex.org/W2091001482","https://openalex.org/W2123838014","https://openalex.org/W2160709761","https://openalex.org/W2165644087","https://openalex.org/W2277607583","https://openalex.org/W2524187761","https://openalex.org/W4214902569","https://openalex.org/W4252028749","https://openalex.org/W4299551239","https://openalex.org/W6672999005"],"related_works":["https://openalex.org/W2034921015","https://openalex.org/W59993211","https://openalex.org/W2064875109","https://openalex.org/W2889261288","https://openalex.org/W32935261","https://openalex.org/W2053566994","https://openalex.org/W20961974","https://openalex.org/W2030341448","https://openalex.org/W2172205801","https://openalex.org/W2243875719"],"abstract_inverted_index":{"There":[0],"are":[1],"two":[2,97],"entropy-based":[3],"methods":[4,80],"to":[5,51,64,67],"deal":[6],"with":[7,103],"linear":[8],"inverse":[9],"problems,":[10],"which":[11],"we":[12,76],"shall":[13,77,88,106],"call":[14],"the":[15,23,29,73,90,94,118],"ordinary":[16],"method":[17,24],"of":[18,25,93,99,115],"maximum":[19,26],"entropy":[20,27],"(OME)":[21],"and":[22,59,66,101],"in":[28,55,81,83],"mean":[30],"(MEM).":[31],"Not":[32],"only":[33],"doesMEM":[34],"use":[35],"OME":[36,109],"as":[37],"a":[38,56,84,112,122],"stepping":[39],"stone,":[40],"it":[41,49,62],"also":[42],"allows":[43,50,63],"for":[44],"greater":[45],"generality.":[46],"First,":[47],"because":[48,61],"include":[52],"convex":[53],"constraints":[54],"natural":[57],"way,":[58],"second,":[60],"incorporate":[65],"estimate":[68],"(additive)":[69],"measurement":[70],"errors":[71],"from":[72],"data.":[74],"Here":[75],"see":[78,107],"both":[79],"action":[82],"specific":[85],"example.":[86],"We":[87,105],"solve":[89],"discretized":[91],"version":[92],"problem":[95],"by":[96],"variants":[98],"MEM":[100],"directly":[102],"OME.":[104],"that":[108],"is":[110,121],"actually":[111],"particular":[113],"instance":[114],"MEM,":[116],"when":[117],"reference":[119],"measure":[120],"Poisson":[123],"Measure.":[124]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2026-08-10T07:06:39.071514","created_date":"2025-10-10T00:00:00"}
