{"id":"https://openalex.org/W3161843442","doi":"https://doi.org/10.1109/tit.2022.3210436","title":"Characterizing the Functional Density Power Divergence Class","display_name":"Characterizing the Functional Density Power Divergence Class","publication_year":2022,"publication_date":"2022-09-27","ids":{"openalex":"https://openalex.org/W3161843442","doi":"https://doi.org/10.1109/tit.2022.3210436","mag":"3161843442"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2022.3210436","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3210436","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","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/A5041870410","display_name":"Souvik Ray","orcid":"https://orcid.org/0000-0002-4039-9293"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Souvik Ray","raw_affiliation_strings":["Department of Statistics, Stanford University, Stanford, CA, USA"],"raw_orcid":"https://orcid.org/0000-0002-4039-9293","affiliations":[{"raw_affiliation_string":"Department of Statistics, Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025200263","display_name":"Subrata Pal","orcid":"https://orcid.org/0000-0002-3325-431X"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Subrata Pal","raw_affiliation_strings":["Department of Statistics, Iowa State University, Ames, IA, USA"],"raw_orcid":"https://orcid.org/0000-0002-3325-431X","affiliations":[{"raw_affiliation_string":"Department of Statistics, Iowa State University, Ames, IA, USA","institution_ids":["https://openalex.org/I173911158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086854983","display_name":"Sumit Kumar Kar","orcid":"https://orcid.org/0000-0002-1355-4112"},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sumit Kumar Kar","raw_affiliation_strings":["Department of Statistics and Operations Research, The University of North Carolina at Chapel Hill, Chapel Hill, NC, USA"],"raw_orcid":"https://orcid.org/0000-0002-1355-4112","affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Research, The University of North Carolina at Chapel Hill, Chapel Hill, NC, USA","institution_ids":["https://openalex.org/I114027177"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075590161","display_name":"Ayanendranath Basu","orcid":"https://orcid.org/0000-0003-1416-9109"},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Ayanendranath Basu","raw_affiliation_strings":["Interdisciplinary Statistical Research Unit, Indian Statistical Institute, Kolkata, West Bengal, India"],"raw_orcid":"https://orcid.org/0000-0003-1416-9109","affiliations":[{"raw_affiliation_string":"Interdisciplinary Statistical Research Unit, Indian Statistical Institute, Kolkata, West Bengal, India","institution_ids":["https://openalex.org/I6498739"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7356,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.69597491,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"69","issue":"2","first_page":"1141","last_page":"1146"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9980999827384949,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9980999827384949,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9979000091552734,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9805999994277954,"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/divergence","display_name":"Divergence (linguistics)","score":0.7887609004974365},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.5723103284835815},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5520317554473877},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.47643762826919556},{"id":"https://openalex.org/keywords/statistical-inference","display_name":"Statistical inference","score":0.4550744593143463},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.44292569160461426},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.4210514724254608},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35056358575820923},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3313326835632324},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3209744989871979},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2063637375831604},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11437085270881653}],"concepts":[{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.7887609004974365},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.5723103284835815},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5520317554473877},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.47643762826919556},{"id":"https://openalex.org/C134261354","wikidata":"https://www.wikidata.org/wiki/Q938438","display_name":"Statistical inference","level":2,"score":0.4550744593143463},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.44292569160461426},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.4210514724254608},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35056358575820923},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3313326835632324},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3209744989871979},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2063637375831604},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11437085270881653},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2022.3210436","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3210436","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W51895105","https://openalex.org/W1533441481","https://openalex.org/W1974927650","https://openalex.org/W2035641621","https://openalex.org/W2071513844","https://openalex.org/W2093064776","https://openalex.org/W2117890631","https://openalex.org/W2129070761","https://openalex.org/W2150070703","https://openalex.org/W2525109755","https://openalex.org/W2799472604","https://openalex.org/W2962844167","https://openalex.org/W2963184713","https://openalex.org/W2964272499","https://openalex.org/W2964336325","https://openalex.org/W2970713469","https://openalex.org/W3124702936"],"related_works":["https://openalex.org/W2105321464","https://openalex.org/W2887774187","https://openalex.org/W2388220555","https://openalex.org/W1554844486","https://openalex.org/W1520875569","https://openalex.org/W3048739257","https://openalex.org/W1665563134","https://openalex.org/W2963604926","https://openalex.org/W2199957582","https://openalex.org/W2033178790"],"abstract_inverted_index":{"Divergence":[0],"measures":[1,20,195],"have":[2,21],"a":[3,31,53],"long":[4],"association":[5],"with":[6],"statistical":[7,27,208],"inference,":[8,209],"machine":[9,210],"learning":[10,211],"and":[11,18,40,70,100,120,133,189,212],"information":[12,85,213],"theory.":[13,86,214],"The":[14,48,87,179],"density":[15,50,59,97,103,149,166,175,185],"power":[16,51,60,98,104,150,167,176,186],"divergence":[17,92,99,105,151,177,187,194],"related":[19],"produced":[22],"many":[23],"useful":[24],"(and":[25],"popular)":[26],"procedures,":[28],"which":[29,141],"provide":[30],"good":[32],"balance":[33],"between":[34],"model":[35],"efficiency":[36],"on":[37,45,95],"one":[38],"hand":[39],"outlier":[41],"stability":[42],"or":[43],"robustness":[44],"the":[46,58,90,96,101,110,148,153,165,173,192],"other.":[47],"logarithmic":[49,55,102],"divergence,":[52,61,168],"particular":[54],"transform":[56],"of":[57,89,147,164],"has":[62,77],"also":[63,78,107],"been":[64],"very":[65],"successful":[66],"in":[67,74,84,152,207],"producing":[68],"efficient":[69],"stable":[71],"inference":[72],"procedures;":[73],"addition":[75],"it":[76,131],"led":[79],"to":[80,135,170],"significant":[81],"demonstrated":[82],"applications":[83,206],"success":[88],"minimum":[91],"procedures":[93],"based":[94],"(which":[106],"go":[108],"by":[109],"names":[111],"<inline-formula":[112,121],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[113,122],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[114,123],"<tex-math":[115,124],"notation=\"LaTeX\">$\\beta":[116],"$":[117,126],"</tex-math></inline-formula>":[118,127],"-divergence":[119],"notation=\"LaTeX\">$\\gamma":[125],"-divergence,":[128],"respectively)":[129],"make":[130],"imperative":[132],"meaningful":[134],"look":[136],"for":[137,161,204],"other,":[138],"similar":[139],"divergences":[140],"may":[142,200],"be":[143,201],"obtained":[144],"as":[145,172],"transforms":[146,163],"same":[154],"spirit.":[155],"With":[156],"this":[157,183,197],"motivation":[158],"we":[159],"search":[160],"such":[162],"referred":[169],"herein":[171],"functional":[174,184],"class.":[178],"present":[180],"article":[181],"characterizes":[182],"class,":[188],"thus":[190],"identifies":[191],"available":[193],"within":[196],"construct":[198],"that":[199],"explored":[202],"further":[203],"possible":[205]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
