{"id":"https://openalex.org/W1993887668","doi":"https://doi.org/10.1109/isit.2010.5513445","title":"Joint range of f-divergences","display_name":"Joint range of f-divergences","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W1993887668","doi":"https://doi.org/10.1109/isit.2010.5513445","mag":"1993887668"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2010.5513445","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2010.5513445","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Information Theory","raw_type":"proceedings-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/A5021606672","display_name":"Peter Harremo\u00ebs","orcid":"https://orcid.org/0000-0002-0441-6690"},"institutions":[{"id":"https://openalex.org/I4210143031","display_name":"Niels Brock","ror":"https://ror.org/03gzqe894","country_code":"DK","type":"education","lineage":["https://openalex.org/I4210143031"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"Peter Harremoes","raw_affiliation_strings":["Copenhagen Business College, Copenhagen, Denmark","Copenhagen Business College, Denmark"],"affiliations":[{"raw_affiliation_string":"Copenhagen Business College, Copenhagen, Denmark","institution_ids":["https://openalex.org/I4210143031"]},{"raw_affiliation_string":"Copenhagen Business College, Denmark","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5114033257","display_name":"Igor Vajda","orcid":null},"institutions":[{"id":"https://openalex.org/I4210119419","display_name":"Czech Academy of Sciences, Institute of Information Theory and Automation","ror":"https://ror.org/03h1hsz49","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210119419"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Igor Vajda","raw_affiliation_strings":["Institute of Information and Automation, Prague, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Institute of Information and Automation, Prague, Czech Republic","institution_ids":["https://openalex.org/I4210119419"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5021606672"],"corresponding_institution_ids":["https://openalex.org/I4210143031"],"apc_list":null,"apc_paid":null,"fwci":0.4623,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63348607,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1345","last_page":"1349"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.998199999332428,"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":0.998199999332428,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9962999820709229,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9796000123023987,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.8976848721504211},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.7135873436927795},{"id":"https://openalex.org/keywords/goodness-of-fit","display_name":"Goodness of fit","score":0.69685959815979},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.6686345338821411},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.5355707406997681},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5124736428260803},{"id":"https://openalex.org/keywords/joint","display_name":"Joint (building)","score":0.43062523007392883},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4141392409801483},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3753432631492615},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3403899073600769},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07052397727966309}],"concepts":[{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.8976848721504211},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.7135873436927795},{"id":"https://openalex.org/C132480984","wikidata":"https://www.wikidata.org/wiki/Q2034239","display_name":"Goodness of fit","level":2,"score":0.69685959815979},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.6686345338821411},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.5355707406997681},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5124736428260803},{"id":"https://openalex.org/C18555067","wikidata":"https://www.wikidata.org/wiki/Q8375051","display_name":"Joint (building)","level":2,"score":0.43062523007392883},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4141392409801483},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3753432631492615},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3403899073600769},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07052397727966309},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C170154142","wikidata":"https://www.wikidata.org/wiki/Q150737","display_name":"Architectural engineering","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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2010.5513445","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2010.5513445","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6499999761581421,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W152055444","https://openalex.org/W638747377","https://openalex.org/W1561681248","https://openalex.org/W2033435695","https://openalex.org/W2034306513","https://openalex.org/W2051657238","https://openalex.org/W2081985429","https://openalex.org/W2107676886","https://openalex.org/W2131940723","https://openalex.org/W2146111332","https://openalex.org/W2149306165","https://openalex.org/W2169851375","https://openalex.org/W4294841944","https://openalex.org/W6620537803"],"related_works":["https://openalex.org/W2105321464","https://openalex.org/W3204542232","https://openalex.org/W2887774187","https://openalex.org/W982127401","https://openalex.org/W2388220555","https://openalex.org/W3048739257","https://openalex.org/W1665563134","https://openalex.org/W2963604926","https://openalex.org/W1616881371","https://openalex.org/W1520875569"],"abstract_inverted_index":{"Many":[0],"of":[1,9,23,39,47,65,70,73,95],"the":[2,10,36,61,67],"divergence":[3,86],"measures":[4],"used":[5,43],"in":[6,21,32,79,105],"statistics":[7],"are":[8,28,51,77],"f-divergence":[11,20],"type.":[12],"Often":[13],"one":[14,19],"is":[15,87],"interested":[16],"inequalities":[17,27],"for":[18,29,44,92],"terms":[22],"another":[24,98],"f-divergence.":[25],"Such":[26],"instance":[30],"needed":[31],"order":[33],"to":[34],"calculate":[35],"relative":[37],"efficiency":[38],"two":[40],"f-divergences":[41],"when":[42],"testing":[45,93],"goodness":[46,94],"fit":[48,96],"but":[49,100],"there":[50],"many":[52],"other":[53],"applications.":[54],"In":[55],"this":[56,106],"paper":[57],"we":[58],"shall":[59],"study":[60],"more":[62,89],"general":[63,81],"problem":[64],"determining":[66,80],"joint":[68],"range":[69],"any":[71],"pair":[72],"f-divergences.":[74],"The":[75],"results":[76],"useful":[78],"conditions":[82],"under":[83],"which":[84],"information":[85],"a":[88],"efficient":[90],"statistic":[91],"than":[97],"f-divergence,":[99],"will":[101],"not":[102],"be":[103],"discussed":[104],"short":[107],"paper.":[108]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}