{"id":"https://openalex.org/W3004074534","doi":"https://doi.org/10.1109/tit.2020.2969439","title":"Bias Correction With Jackknife, Bootstrap, and Taylor Series","display_name":"Bias Correction With Jackknife, Bootstrap, and Taylor Series","publication_year":2020,"publication_date":"2020-02-02","ids":{"openalex":"https://openalex.org/W3004074534","doi":"https://doi.org/10.1109/tit.2020.2969439","mag":"3004074534"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2020.2969439","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2020.2969439","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/A5034192173","display_name":"Jiantao Jiao","orcid":"https://orcid.org/0000-0003-3766-8031"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jiantao Jiao","raw_affiliation_strings":["Department of Electrical Engineering and Computer Sciences and the Department of Statistics, University of California, Berkeley, USA"],"raw_orcid":"https://orcid.org/0000-0003-3766-8031","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences and the Department of Statistics, University of California, Berkeley, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077972639","display_name":"Yanjun Han","orcid":"https://orcid.org/0000-0002-8335-2364"},"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":"Yanjun Han","raw_affiliation_strings":["Department of Electrical Engineering, Stanford University, Stanford, USA"],"raw_orcid":"https://orcid.org/0000-0002-8335-2364","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Stanford University, Stanford, USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.4385,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.89929392,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"66","issue":"7","first_page":"4392","last_page":"4418"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9987000226974487,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9987000226974487,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9970999956130981,"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9941999912261963,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/jackknife-resampling","display_name":"Jackknife resampling","score":0.9710912704467773},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.7138537168502808},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6826596856117249},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.5646044611930847},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.5642131567001343},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.5058224201202393},{"id":"https://openalex.org/keywords/infimum-and-supremum","display_name":"Infimum and supremum","score":0.4838515818119049},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.43949055671691895},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.3750166594982147},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.327708899974823},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08418750762939453},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07883003354072571},{"id":"https://openalex.org/keywords/accounting","display_name":"Accounting","score":0.06213817000389099}],"concepts":[{"id":"https://openalex.org/C81790035","wikidata":"https://www.wikidata.org/wiki/Q847158","display_name":"Jackknife resampling","level":3,"score":0.9710912704467773},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7138537168502808},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6826596856117249},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.5646044611930847},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5642131567001343},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.5058224201202393},{"id":"https://openalex.org/C95611797","wikidata":"https://www.wikidata.org/wiki/Q17502105","display_name":"Infimum and supremum","level":2,"score":0.4838515818119049},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.43949055671691895},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3750166594982147},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.327708899974823},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08418750762939453},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07883003354072571},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.06213817000389099},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2020.2969439","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2020.2969439","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":[{"id":"https://openalex.org/G2718063476","display_name":null,"funder_award_id":"CCF-1909499","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"},{"id":"https://openalex.org/G4678832855","display_name":null,"funder_award_id":"IIS-1901252","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"}],"funders":[{"id":"https://openalex.org/F4320335353","display_name":"National Science Foundation of Sri Lanka","ror":"https://ror.org/010xaa060"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":68,"referenced_works":["https://openalex.org/W104370512","https://openalex.org/W562843364","https://openalex.org/W568673721","https://openalex.org/W599938562","https://openalex.org/W786265215","https://openalex.org/W1488909131","https://openalex.org/W1498939395","https://openalex.org/W1511694993","https://openalex.org/W1512638263","https://openalex.org/W1516339661","https://openalex.org/W1517060137","https://openalex.org/W1567669715","https://openalex.org/W1654586045","https://openalex.org/W1964861319","https://openalex.org/W1981492171","https://openalex.org/W1982918157","https://openalex.org/W1984347506","https://openalex.org/W1989151402","https://openalex.org/W1990029739","https://openalex.org/W1990661525","https://openalex.org/W1995663189","https://openalex.org/W1995875735","https://openalex.org/W1995945562","https://openalex.org/W2001098949","https://openalex.org/W2005560667","https://openalex.org/W2020016603","https://openalex.org/W2026025473","https://openalex.org/W2026781197","https://openalex.org/W2030742879","https://openalex.org/W2046338987","https://openalex.org/W2055593645","https://openalex.org/W2061496873","https://openalex.org/W2063869058","https://openalex.org/W2069057356","https://openalex.org/W2076237237","https://openalex.org/W2086033643","https://openalex.org/W2089358744","https://openalex.org/W2094748876","https://openalex.org/W2114771311","https://openalex.org/W2117897510","https://openalex.org/W2124055802","https://openalex.org/W2124181495","https://openalex.org/W2125467461","https://openalex.org/W2148719904","https://openalex.org/W2267671267","https://openalex.org/W2312228542","https://openalex.org/W2321602618","https://openalex.org/W2327088997","https://openalex.org/W2518143623","https://openalex.org/W2561586961","https://openalex.org/W2963113682","https://openalex.org/W2963608890","https://openalex.org/W2963720577","https://openalex.org/W3102159535","https://openalex.org/W3104153247","https://openalex.org/W3107128594","https://openalex.org/W4205125306","https://openalex.org/W4205354563","https://openalex.org/W4226328797","https://openalex.org/W4230173782","https://openalex.org/W4231580960","https://openalex.org/W4239161863","https://openalex.org/W4245577611","https://openalex.org/W4246736184","https://openalex.org/W4249294823","https://openalex.org/W6678263215","https://openalex.org/W6700623531","https://openalex.org/W6910388497"],"related_works":["https://openalex.org/W4362236462","https://openalex.org/W4248520104","https://openalex.org/W2373289085","https://openalex.org/W275862377","https://openalex.org/W3182978303","https://openalex.org/W2356054774","https://openalex.org/W3122602933","https://openalex.org/W2950038056","https://openalex.org/W1544940847","https://openalex.org/W2289285490"],"abstract_inverted_index":{"We":[0,11,34,70],"analyze":[1],"bias":[2,22,41,80,90,97,102],"correction":[3,23,81],"methods":[4],"using":[5],"jackknife,":[6,57],"bootstrap,":[7],"and":[8,17,45,52,91,93],"Taylor":[9],"series.":[10],"focus":[12],"on":[13],"the":[14,19,36,40,54,74,78,96,100,112,118],"binomial":[15,75],"model,":[16,76],"consider":[18],"problem":[20],"of":[21,39,42,60,89,99,111,117],"for":[24,48],"estimating":[25],"f(p),":[26],"where":[27],"f":[28],"\u2208":[29],"C[0,":[30],"1]":[31],"is":[32,126],"arbitrary.":[33],"characterize":[35],"supremum":[37],"norm":[38],"general":[43],"jackknife":[44],"bootstrap":[46,79,101],"estimators":[47],"any":[49],"continuous":[50],"functions,":[51],"demonstrate":[53,94],"in":[55,68,73],"delete-d":[56],"different":[58,66],"values":[59],"d":[61],"may":[62,85],"lead":[63,86],"to":[64,87],"drastically":[65],"behaviors":[67],"jackknife.":[69],"show":[71],"that":[72,95,116],"iterating":[77],"infinitely":[82],"many":[83],"times":[84],"divergence":[88],"variance,":[92],"properties":[98],"corrected":[103],"estimator":[104,120],"after":[105],"r":[106],"-":[107],"1":[108],"rounds":[109],"are":[110],"same":[113],"order":[114],"as":[115],"r-jackknife":[119],"if":[121],"a":[122],"bounded":[123],"coefficients":[124],"condition":[125],"satisfied.":[127]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}