{"id":"https://openalex.org/W2149570649","doi":"https://doi.org/10.3390/e10030261","title":"Axiomatic Characterizations of Information Measures","display_name":"Axiomatic Characterizations of Information Measures","publication_year":2008,"publication_date":"2008-09-19","ids":{"openalex":"https://openalex.org/W2149570649","doi":"https://doi.org/10.3390/e10030261","mag":"2149570649"},"language":"en","primary_location":{"id":"doi:10.3390/e10030261","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e10030261","pdf_url":"https://www.mdpi.com/1099-4300/10/3/261/pdf?version=1424784641","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/1099-4300/10/3/261/pdf?version=1424784641","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026417214","display_name":"Imre Csisz\u00e1r","orcid":"https://orcid.org/0000-0003-1936-2012"},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"funder","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"Imre Csisz\u00e1r","raw_affiliation_strings":["R\u00e9nyi Institute of Mathematics, Hungarian Academy of Sciences, P.O.Box 127, H1364 Budapest, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"R\u00e9nyi Institute of Mathematics, Hungarian Academy of Sciences, P.O.Box 127, H1364 Budapest, Hungary","institution_ids":["https://openalex.org/I127817813","https://openalex.org/I7597260"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5026417214"],"corresponding_institution_ids":["https://openalex.org/I127817813","https://openalex.org/I7597260"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":9.5671,"has_fulltext":true,"cited_by_count":287,"citation_normalized_percentile":{"value":0.98705657,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"10","issue":"3","first_page":"261","last_page":"273"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9988999962806702,"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":0.9988999962806702,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.975600004196167,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T14394","display_name":"Cognitive Science and Education Research","score":0.9621999859809875,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/axiomatic-system","display_name":"Axiomatic system","score":0.8523318767547607},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.8185667991638184},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.6773999929428101},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.634963870048523},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.5063892602920532},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.4978952407836914},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.48806941509246826},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.48759952187538147},{"id":"https://openalex.org/keywords/relevance","display_name":"Relevance (law)","score":0.4695753753185272},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.46302926540374756},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.4361402690410614},{"id":"https://openalex.org/keywords/joint-probability-distribution","display_name":"Joint probability distribution","score":0.43146347999572754},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36012616753578186},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34527063369750977},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20060572028160095},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1713230311870575}],"concepts":[{"id":"https://openalex.org/C125773388","wikidata":"https://www.wikidata.org/wiki/Q792542","display_name":"Axiomatic system","level":3,"score":0.8523318767547607},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.8185667991638184},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.6773999929428101},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.634963870048523},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.5063892602920532},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.4978952407836914},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.48806941509246826},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.48759952187538147},{"id":"https://openalex.org/C158154518","wikidata":"https://www.wikidata.org/wiki/Q7310970","display_name":"Relevance (law)","level":2,"score":0.4695753753185272},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.46302926540374756},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.4361402690410614},{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.43146347999572754},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36012616753578186},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34527063369750977},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20060572028160095},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1713230311870575},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e10030261","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e10030261","pdf_url":"https://www.mdpi.com/1099-4300/10/3/261/pdf?version=1424784641","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:CiteSeerX.psu:10.1.1.352.2175","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.352.2175","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mdpi.com/1099-4300/10/3/261/pdf/","raw_type":"text"},{"id":"pmh:oai:doaj.org/article:38c4a8aba56c4fffa8dddae2b9366199","is_oa":true,"landing_page_url":"https://doaj.org/article/38c4a8aba56c4fffa8dddae2b9366199","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 10, Iss 3, Pp 261-273 (2008)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/10/3/261/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e10030261","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy; Volume 10; Issue 3; Pages: 261-273","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e10030261","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e10030261","pdf_url":"https://www.mdpi.com/1099-4300/10/3/261/pdf?version=1424784641","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":[{"id":"https://openalex.org/F4320321994","display_name":"Hungarian Scientific Research Fund","ror":"https://ror.org/00v349e63"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2149570649.pdf","grobid_xml":"https://content.openalex.org/works/W2149570649.grobid-xml"},"referenced_works_count":51,"referenced_works":["https://openalex.org/W132918488","https://openalex.org/W148564650","https://openalex.org/W152055444","https://openalex.org/W256798830","https://openalex.org/W975812563","https://openalex.org/W1207732756","https://openalex.org/W1515040589","https://openalex.org/W1590693676","https://openalex.org/W1593125407","https://openalex.org/W1597217469","https://openalex.org/W1965555277","https://openalex.org/W1973071586","https://openalex.org/W1983874169","https://openalex.org/W1992373581","https://openalex.org/W1992392585","https://openalex.org/W1995537923","https://openalex.org/W1995875735","https://openalex.org/W2001935257","https://openalex.org/W2012668294","https://openalex.org/W2032248907","https://openalex.org/W2032558547","https://openalex.org/W2033468335","https://openalex.org/W2039699818","https://openalex.org/W2049279961","https://openalex.org/W2052958516","https://openalex.org/W2070498460","https://openalex.org/W2077541600","https://openalex.org/W2078210981","https://openalex.org/W2081412026","https://openalex.org/W2085956070","https://openalex.org/W2099970571","https://openalex.org/W2113940092","https://openalex.org/W2122882636","https://openalex.org/W2123838014","https://openalex.org/W2147681281","https://openalex.org/W2151743006","https://openalex.org/W2154300278","https://openalex.org/W2155969596","https://openalex.org/W2156250991","https://openalex.org/W2174534725","https://openalex.org/W2263958071","https://openalex.org/W2288095892","https://openalex.org/W2327198916","https://openalex.org/W2530367107","https://openalex.org/W3110683067","https://openalex.org/W3127518054","https://openalex.org/W4252822198","https://openalex.org/W4392662616","https://openalex.org/W6648299717","https://openalex.org/W6693264812","https://openalex.org/W6786768871"],"related_works":["https://openalex.org/W2163103544","https://openalex.org/W2614538623","https://openalex.org/W2133435412","https://openalex.org/W307005845","https://openalex.org/W2167163570","https://openalex.org/W4225940264","https://openalex.org/W2950438842","https://openalex.org/W1997501514","https://openalex.org/W4300707824","https://openalex.org/W3033899355"],"abstract_inverted_index":{"Axiomatic":[0,55],"characterizations":[1],"of":[2,20,22,31,37,47,49,57,70,73],"Shannon":[3],"entropy,":[4],"Kullback":[5],"I-divergence,":[6],"and":[7,59],"some":[8],"generalized":[9],"information":[10,27,78],"measures":[11],"are":[12,16],"surveyed.":[13],"Three":[14],"directions":[15],"treated:":[17],"(A)":[18],"Characterization":[19,30],"functions":[21,33],"probability":[23],"distributions":[24],"suitable":[25],"as":[26],"measures.":[28],"(B)":[29],"set":[32],"on":[34],"the":[35,71,74],"subsets":[36],"{1;":[38],":":[39,40,41],";N}":[42],"representable":[43],"by":[44],"joint":[45],"entropies":[46],"components":[48],"an":[50],"N-dimensional":[51],"random":[52],"vector.":[53],"(C)":[54],"characterization":[56],"MaxEnt":[58],"related":[60],"inference":[61],"rules.":[62],"The":[63],"paper":[64],"concludes":[65],"with":[66],"a":[67],"brief":[68],"discussion":[69],"relevance":[72],"axiomatic":[75],"approach":[76],"for":[77],"theory.":[79]},"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":13},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":27},{"year":2020,"cited_by_count":32},{"year":2019,"cited_by_count":18},{"year":2018,"cited_by_count":30},{"year":2017,"cited_by_count":22},{"year":2016,"cited_by_count":15},{"year":2015,"cited_by_count":23},{"year":2014,"cited_by_count":15},{"year":2013,"cited_by_count":12},{"year":2012,"cited_by_count":12}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}