{"id":"https://openalex.org/W2083880517","doi":"https://doi.org/10.1109/cig.2010.5592695","title":"The confidence interval of entropy estimation through a noisy channel","display_name":"The confidence interval of entropy estimation through a noisy channel","publication_year":2010,"publication_date":"2010-08-01","ids":{"openalex":"https://openalex.org/W2083880517","doi":"https://doi.org/10.1109/cig.2010.5592695","mag":"2083880517"},"language":"en","primary_location":{"id":"doi:10.1109/cig.2010.5592695","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cig.2010.5592695","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE Information Theory Workshop","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/A5084495584","display_name":"Siu\u2010Wai Ho","orcid":"https://orcid.org/0000-0002-8630-494X"},"institutions":[{"id":"https://openalex.org/I170239107","display_name":"University of South Australia","ror":"https://ror.org/01p93h210","country_code":"AU","type":"education","lineage":["https://openalex.org/I170239107"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Siu-Wai Ho","raw_affiliation_strings":["Institute for Telecommunications Research, University of South Australia, Australia","Institute for Telecommunications Research, University of South Australia"],"affiliations":[{"raw_affiliation_string":"Institute for Telecommunications Research, University of South Australia, Australia","institution_ids":["https://openalex.org/I170239107"]},{"raw_affiliation_string":"Institute for Telecommunications Research, University of South Australia","institution_ids":["https://openalex.org/I170239107"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010336848","display_name":"Terence Chan","orcid":"https://orcid.org/0000-0002-6550-7203"},"institutions":[{"id":"https://openalex.org/I170239107","display_name":"University of South Australia","ror":"https://ror.org/01p93h210","country_code":"AU","type":"education","lineage":["https://openalex.org/I170239107"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Terence Chan","raw_affiliation_strings":["Institute for Telecommunications Research, University of South Australia, Australia","Institute for Telecommunications Research, University of South Australia"],"affiliations":[{"raw_affiliation_string":"Institute for Telecommunications Research, University of South Australia, Australia","institution_ids":["https://openalex.org/I170239107"]},{"raw_affiliation_string":"Institute for Telecommunications Research, University of South Australia","institution_ids":["https://openalex.org/I170239107"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072485708","display_name":"Alex Grant","orcid":"https://orcid.org/0000-0002-5345-7771"},"institutions":[{"id":"https://openalex.org/I170239107","display_name":"University of South Australia","ror":"https://ror.org/01p93h210","country_code":"AU","type":"education","lineage":["https://openalex.org/I170239107"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Alex Grant","raw_affiliation_strings":["Institute for Telecommunications Research, University of South Australia, Australia","Institute for Telecommunications Research, University of South Australia"],"affiliations":[{"raw_affiliation_string":"Institute for Telecommunications Research, University of South Australia, Australia","institution_ids":["https://openalex.org/I170239107"]},{"raw_affiliation_string":"Institute for Telecommunications Research, University of South Australia","institution_ids":["https://openalex.org/I170239107"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5084495584"],"corresponding_institution_ids":["https://openalex.org/I170239107"],"apc_list":null,"apc_paid":null,"fwci":0.5287,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.65720268,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9958999752998352,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9944999814033508,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.7192047238349915},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.6708464622497559},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6394570469856262},{"id":"https://openalex.org/keywords/confidence-interval","display_name":"Confidence interval","score":0.6277065277099609},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.6177371740341187},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5113956332206726},{"id":"https://openalex.org/keywords/entropy-rate","display_name":"Entropy rate","score":0.5095425248146057},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.49665218591690063},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.48989051580429077},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4837086796760559},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.407787948846817},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3904613256454468},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2892962098121643},{"id":"https://openalex.org/keywords/binary-entropy-function","display_name":"Binary entropy function","score":0.1999548375606537},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1044316291809082},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.060179173946380615}],"concepts":[{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.7192047238349915},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.6708464622497559},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6394570469856262},{"id":"https://openalex.org/C44249647","wikidata":"https://www.wikidata.org/wiki/Q208498","display_name":"Confidence interval","level":2,"score":0.6277065277099609},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.6177371740341187},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5113956332206726},{"id":"https://openalex.org/C125252325","wikidata":"https://www.wikidata.org/wiki/Q1345213","display_name":"Entropy rate","level":4,"score":0.5095425248146057},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.49665218591690063},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.48989051580429077},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4837086796760559},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.407787948846817},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3904613256454468},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2892962098121643},{"id":"https://openalex.org/C44415725","wikidata":"https://www.wikidata.org/wiki/Q4913893","display_name":"Binary entropy function","level":3,"score":0.1999548375606537},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1044316291809082},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.060179173946380615},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"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":1,"locations":[{"id":"doi:10.1109/cig.2010.5592695","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cig.2010.5592695","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE Information Theory Workshop","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Quality Education","score":0.6299999952316284,"id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W21934178","https://openalex.org/W108696806","https://openalex.org/W1968654222","https://openalex.org/W1996047543","https://openalex.org/W2013856859","https://openalex.org/W2079473986","https://openalex.org/W2083880517","https://openalex.org/W2092939357","https://openalex.org/W2099111195","https://openalex.org/W2101985079","https://openalex.org/W2102985846","https://openalex.org/W2114771311","https://openalex.org/W2121951422","https://openalex.org/W2130550866","https://openalex.org/W2136010267","https://openalex.org/W2180151937","https://openalex.org/W2950395280","https://openalex.org/W6600849757","https://openalex.org/W6675558339"],"related_works":["https://openalex.org/W2040052409","https://openalex.org/W2060335416","https://openalex.org/W2034921015","https://openalex.org/W3021846434","https://openalex.org/W4252065447","https://openalex.org/W59993211","https://openalex.org/W4301141379","https://openalex.org/W2073470747","https://openalex.org/W2889261288","https://openalex.org/W2803693972"],"abstract_inverted_index":{"Suppose":[0],"a":[1,8,24,68],"stationary":[2],"memoryless":[3,10,48],"source":[4,18,44,83,107],"is":[5,20,32,57,94],"observed":[6],"through":[7],"discrete":[9,47],"channel.":[11],"Determining":[12],"analytical":[13],"confidence":[14,39,70],"intervals":[15,40],"on":[16],"the":[17,29,60,82,87,91,106],"entropy":[19,45],"known":[21],"to":[22,66],"be":[23],"difficult":[25],"problem,":[26],"even":[27],"when":[28],"observation":[30],"channel":[31],"noiseless.":[33],"In":[34],"this":[35],"paper,":[36],"we":[37,99],"determine":[38],"for":[41,59],"estimation":[42],"of":[43,63,81],"over":[46],"channels":[49],"with":[50],"invertible":[51],"transition":[52],"matrices.":[53],"A":[54],"lower":[55],"bound":[56],"given":[58],"minimum":[61],"number":[62],"samples":[64],"required":[65],"guarantee":[67],"desired":[69],"interval.":[71],"All":[72],"these":[73],"results":[74],"do":[75],"not":[76],"require":[77],"any":[78],"prior":[79],"knowledge":[80],"distribution,":[84],"other":[85],"than":[86],"alphabet":[88,92],"size.":[89],"When":[90],"size":[93],"countably":[95],"infinite":[96],"or":[97],"unknown,":[98],"illustrate":[100],"an":[101],"inherent":[102],"difficulty":[103],"in":[104],"estimating":[105],"entropy.":[108]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}