{"id":"https://openalex.org/W2011976556","doi":"https://doi.org/10.3390/e14050966","title":"Some Further Results on the Minimum Error Entropy Estimation","display_name":"Some Further Results on the Minimum Error Entropy Estimation","publication_year":2012,"publication_date":"2012-05-21","ids":{"openalex":"https://openalex.org/W2011976556","doi":"https://doi.org/10.3390/e14050966","mag":"2011976556"},"language":"en","primary_location":{"id":"doi:10.3390/e14050966","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e14050966","pdf_url":"https://www.mdpi.com/1099-4300/14/5/966/pdf?version=1424784849","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/1099-4300/14/5/966/pdf?version=1424784849","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077852542","display_name":"Badong Chen","orcid":"https://orcid.org/0000-0003-1710-3818"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]},{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN","US"],"is_corresponding":true,"raw_author_name":"Badong Chen","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL 32611, USA","Department of Precision Instruments and Mechanology, Tsinghua University, Beijing, 100084, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL 32611, USA","institution_ids":["https://openalex.org/I33213144"]},{"raw_affiliation_string":"Department of Precision Instruments and Mechanology, Tsinghua University, Beijing, 100084, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019504861","display_name":"Jos\u00e9 C. Pr\u0131\u0301ncipe","orcid":"https://orcid.org/0000-0002-3449-3531"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jose C. Principe","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL 32611, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL 32611, USA","institution_ids":["https://openalex.org/I33213144"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5077852542"],"corresponding_institution_ids":["https://openalex.org/I33213144","https://openalex.org/I99065089"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":2.7236,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.92541751,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"14","issue":"5","first_page":"966","last_page":"977"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9980000257492065,"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/T11236","display_name":"Control Systems and Identification","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.7701783180236816},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7004415988922119},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5657498240470886},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.5613690614700317},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5393317937850952},{"id":"https://openalex.org/keywords/entropy-estimation","display_name":"Entropy estimation","score":0.5351817011833191},{"id":"https://openalex.org/keywords/maximum-entropy-probability-distribution","display_name":"Maximum entropy probability distribution","score":0.5346454977989197},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.5237700343132019},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4521189332008362},{"id":"https://openalex.org/keywords/bias-of-an-estimator","display_name":"Bias of an estimator","score":0.4518052637577057},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3494373559951782},{"id":"https://openalex.org/keywords/minimum-variance-unbiased-estimator","display_name":"Minimum-variance unbiased estimator","score":0.32817381620407104}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7701783180236816},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7004415988922119},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5657498240470886},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.5613690614700317},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5393317937850952},{"id":"https://openalex.org/C95546049","wikidata":"https://www.wikidata.org/wiki/Q1345207","display_name":"Entropy estimation","level":3,"score":0.5351817011833191},{"id":"https://openalex.org/C60507348","wikidata":"https://www.wikidata.org/wiki/Q6795892","display_name":"Maximum entropy probability distribution","level":3,"score":0.5346454977989197},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.5237700343132019},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4521189332008362},{"id":"https://openalex.org/C191393472","wikidata":"https://www.wikidata.org/wiki/Q15222032","display_name":"Bias of an estimator","level":4,"score":0.4518052637577057},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3494373559951782},{"id":"https://openalex.org/C165646398","wikidata":"https://www.wikidata.org/wiki/Q3755281","display_name":"Minimum-variance unbiased estimator","level":3,"score":0.32817381620407104},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/e14050966","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e14050966","pdf_url":"https://www.mdpi.com/1099-4300/14/5/966/pdf?version=1424784849","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:c18044a3a5dc4afd87deb717b03b3d08","is_oa":true,"landing_page_url":"https://doaj.org/article/c18044a3a5dc4afd87deb717b03b3d08","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 14, Iss 5, Pp 966-977 (2012)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/14/5/966/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e14050966","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 14; Issue 5; Pages: 966-977","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e14050966","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e14050966","pdf_url":"https://www.mdpi.com/1099-4300/14/5/966/pdf?version=1424784849","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/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2011976556.pdf"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W565868953","https://openalex.org/W994102297","https://openalex.org/W1497576442","https://openalex.org/W1965027861","https://openalex.org/W1972927542","https://openalex.org/W1978003802","https://openalex.org/W1990632278","https://openalex.org/W2001655174","https://openalex.org/W2045551057","https://openalex.org/W2048449370","https://openalex.org/W2066079011","https://openalex.org/W2068708092","https://openalex.org/W2097521973","https://openalex.org/W2100604686","https://openalex.org/W2107154726","https://openalex.org/W2132637751","https://openalex.org/W2142951803","https://openalex.org/W2148058527","https://openalex.org/W2154866245","https://openalex.org/W2156093299","https://openalex.org/W2179121856","https://openalex.org/W2395855665","https://openalex.org/W4230367971","https://openalex.org/W6711939863"],"related_works":["https://openalex.org/W2349547417","https://openalex.org/W4237435333","https://openalex.org/W4210503132","https://openalex.org/W2999390738","https://openalex.org/W2023699039","https://openalex.org/W2352602506","https://openalex.org/W4220863428","https://openalex.org/W2138355589","https://openalex.org/W1607067789","https://openalex.org/W2037392957"],"abstract_inverted_index":{"The":[0,76],"minimum":[1,88],"error":[2,143],"entropy":[3,52,89],"(MEE)":[4],"criterion":[5,32],"has":[6],"been":[7,62],"receiving":[8],"increasing":[9],"attention":[10],"due":[11],"to":[12,98,134,147],"its":[13],"promising":[14],"perspectives":[15],"for":[16],"applications":[17],"in":[18],"signal":[19],"processing":[20],"and":[21,95,103],"machine":[22],"learning.":[23],"In":[24,64],"the":[25,30,36,50,73,87,107,115,120,129,142],"context":[26],"of":[27,38,90,93],"Bayesian":[28],"estimation,":[29],"MEE":[31,74,121,130],"is":[33,53,145],"concerned":[34],"with":[35],"estimation":[37],"a":[39,83,91,99],"certain":[40],"random":[41,46],"variable":[42],"based":[43],"on":[44,58,72,86],"another":[45],"variable,":[47],"so":[48],"that":[49,105,128],"error\u2019s":[51],"minimized.":[54],"Several":[55],"theoretical":[56],"results":[57,71],"this":[59,65],"topic":[60],"have":[61],"reported.":[63],"work,":[66],"we":[67,81,124],"present":[68],"some":[69],"further":[70],"estimation.":[75],"contributions":[77],"are":[78,110],"twofold:":[79],"(1)":[80],"extend":[82],"recent":[84],"result":[85],"mixture":[92],"unimodal":[94],"symmetric":[96],"distributions":[97,109],"more":[100],"general":[101],"case,":[102],"prove":[104],"if":[106,141],"conditional":[108],"generalized":[111],"uniformly":[112],"dominated":[113],"(GUD),":[114],"dominant":[116],"alignment":[117],"will":[118],"be":[119,138],"estimator;":[122],"(2)":[123],"show":[125],"by":[126],"examples":[127],"estimator":[131],"(not":[132],"limited":[133],"singular":[135],"cases)":[136],"may":[137],"non-unique":[139],"even":[140],"distribution":[144],"restricted":[146],"zero-mean":[148],"(unbiased).":[149]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-22T09:01:20.584952","created_date":"2025-10-10T00:00:00"}
