{"id":"https://openalex.org/W3138281945","doi":"https://doi.org/10.1080/10618600.2021.1904961","title":"Iterative Likelihood: A Unified Inference Tool","display_name":"Iterative Likelihood: A Unified Inference Tool","publication_year":2021,"publication_date":"2021-03-22","ids":{"openalex":"https://openalex.org/W3138281945","doi":"https://doi.org/10.1080/10618600.2021.1904961","mag":"3138281945"},"language":"en","primary_location":{"id":"doi:10.1080/10618600.2021.1904961","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10618600.2021.1904961","pdf_url":null,"source":{"id":"https://openalex.org/S76159266","display_name":"Journal of Computational and Graphical Statistics","issn_l":"1061-8600","issn":["1061-8600","1537-2715"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Graphical Statistics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://figshare.com/articles/journal_contribution/Iterative_Likelihood_A_Unified_Inference_Tool_sup_1_sup_/14264250","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100379056","display_name":"HaiYing Wang","orcid":"https://orcid.org/0000-0001-7729-0243"},"institutions":[{"id":"https://openalex.org/I140172145","display_name":"University of Connecticut","ror":"https://ror.org/02der9h97","country_code":"US","type":"education","lineage":["https://openalex.org/I140172145"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Haiying Wang","raw_affiliation_strings":["Department of Statistics, University of Connecticut, Storrs, CT"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, University of Connecticut, Storrs, CT","institution_ids":["https://openalex.org/I140172145"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052938879","display_name":"Dixin Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I137056471","display_name":"Nanjing University of Finance and Economics","ror":"https://ror.org/031y8am81","country_code":"CN","type":"education","lineage":["https://openalex.org/I137056471"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dixin Zhang","raw_affiliation_strings":["Department of Finance, Nanjing University, Nanjing, Jiangsu, China"],"affiliations":[{"raw_affiliation_string":"Department of Finance, Nanjing University, Nanjing, Jiangsu, China","institution_ids":["https://openalex.org/I137056471"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085374974","display_name":"Hua Liang","orcid":null},"institutions":[{"id":"https://openalex.org/I193531525","display_name":"George Washington University","ror":"https://ror.org/00y4zzh67","country_code":"US","type":"education","lineage":["https://openalex.org/I193531525"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Hua Liang","raw_affiliation_strings":["Department of Statistics, George Washington University, Washington, DC"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, George Washington University, Washington, DC","institution_ids":["https://openalex.org/I193531525"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061514978","display_name":"David Ruppert","orcid":"https://orcid.org/0000-0002-6713-2257"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David Ruppert","raw_affiliation_strings":["Department of Statistical Science, Cornell University, Ithaca, NY"],"affiliations":[{"raw_affiliation_string":"Department of Statistical Science, Cornell University, Ithaca, NY","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5085374974"],"corresponding_institution_ids":["https://openalex.org/I193531525"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04889793,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"30","issue":"4","first_page":"920","last_page":"933"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9988999962806702,"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9988999962806702,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9975000023841858,"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":0.9947999715805054,"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/mathematics","display_name":"Mathematics","score":0.6956741213798523},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.6650751829147339},{"id":"https://openalex.org/keywords/likelihood-function","display_name":"Likelihood function","score":0.6419946551322937},{"id":"https://openalex.org/keywords/stationary-point","display_name":"Stationary point","score":0.5218695402145386},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.4858569800853729},{"id":"https://openalex.org/keywords/statistical-inference","display_name":"Statistical inference","score":0.48548582196235657},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.48385512828826904},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4284846782684326},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40152600407600403},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.3335806131362915},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2790233790874481},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2689104974269867},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11708265542984009}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6956741213798523},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.6650751829147339},{"id":"https://openalex.org/C89106044","wikidata":"https://www.wikidata.org/wiki/Q45284","display_name":"Likelihood function","level":3,"score":0.6419946551322937},{"id":"https://openalex.org/C189237950","wikidata":"https://www.wikidata.org/wiki/Q2500758","display_name":"Stationary point","level":2,"score":0.5218695402145386},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.4858569800853729},{"id":"https://openalex.org/C134261354","wikidata":"https://www.wikidata.org/wiki/Q938438","display_name":"Statistical inference","level":2,"score":0.48548582196235657},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.48385512828826904},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4284846782684326},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40152600407600403},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.3335806131362915},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2790233790874481},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2689104974269867},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11708265542984009},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1080/10618600.2021.1904961","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10618600.2021.1904961","pdf_url":null,"source":{"id":"https://openalex.org/S76159266","display_name":"Journal of Computational and Graphical Statistics","issn_l":"1061-8600","issn":["1061-8600","1537-2715"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Graphical Statistics","raw_type":"journal-article"},{"id":"pmh:oai:figshare.com:article/14264250","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Iterative_Likelihood_A_Unified_Inference_Tool_sup_1_sup_/14264250","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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":"","raw_type":"Text"},{"id":"doi:10.6084/m9.figshare.14264250","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.14264250","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:figshare.com:article/14264250","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Iterative_Likelihood_A_Unified_Inference_Tool_sup_1_sup_/14264250","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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":"","raw_type":"Text"},"sustainable_development_goals":[{"score":0.8399999737739563,"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W44217648","https://openalex.org/W317397600","https://openalex.org/W1524403460","https://openalex.org/W1528905581","https://openalex.org/W1912146688","https://openalex.org/W1972406353","https://openalex.org/W1978136073","https://openalex.org/W1993838735","https://openalex.org/W1997762249","https://openalex.org/W2003523627","https://openalex.org/W2003707098","https://openalex.org/W2010111476","https://openalex.org/W2029761439","https://openalex.org/W2044758663","https://openalex.org/W2049633694","https://openalex.org/W2053471558","https://openalex.org/W2053742104","https://openalex.org/W2099756352","https://openalex.org/W2106413636","https://openalex.org/W2115190665","https://openalex.org/W2149860264","https://openalex.org/W2170407956","https://openalex.org/W2337490104","https://openalex.org/W2482360499","https://openalex.org/W4299491884","https://openalex.org/W4300117228","https://openalex.org/W4301861531"],"related_works":["https://openalex.org/W2985635587","https://openalex.org/W2007224728","https://openalex.org/W2273147958","https://openalex.org/W1974907817","https://openalex.org/W2807718223","https://openalex.org/W2120595071","https://openalex.org/W2499041866","https://openalex.org/W3167036484","https://openalex.org/W1598553450","https://openalex.org/W2945972939"],"abstract_inverted_index":{"We":[0,76,162],"propose":[1],"a":[2,14,18,131,152,159,173,189,196,208,219,267],"framework":[3],"for":[4,17,305,312],"inference":[5,42],"based":[6],"on":[7,280],"an":[8,85,249,302],"\u201citerative":[9],"likelihood":[10,87,118],"function,\u201d":[11],"which":[12],"provides":[13],"unified":[15],"representation":[16],"number":[19],"of":[20,40,84,97,104,127,133,135,148,169,215,234,242,255,275,278,286],"iterative":[21,86,100,117],"approaches,":[22],"including":[23],"the":[24,28,41,65,71,74,78,90,98,105,124,128,136,145,149,166,170,185,216,235,240,256,276,284,294],"EM":[25],"algorithm":[26],"and":[27,54,81,93,108,181,204,262,272,301],"generalized":[29],"estimating":[30],"equations":[31],"(GEEs).":[32],"The":[33,213],"parameters":[34],"are":[35,111,292,315],"decoupled":[36],"to":[37,44,48,51,57,70,211],"facilitate":[38],"construction":[39],"vehicle,":[43],"simplify":[45],"computation,":[46],"or":[47,154,191,198],"ensure":[49],"robustness":[50],"model":[52,221],"misspecification":[53],"then":[55],"recoupled":[56],"retain":[58],"their":[59],"original":[60],"interpretations.":[61],"For":[62],"simplicity,":[63],"throughout":[64],"paper,":[66],"we":[67],"will":[68],"refer":[69],"log-likelihood":[72],"as":[73],"\u201clikelihood.\u201d":[75],"define":[77],"global,":[79,91,106],"local,":[80,92,107],"stationary":[82,94,109,155,192,199],"estimates":[83,110,217],"and,":[88],"correspondingly,":[89],"attraction":[95,134],"points":[96],"expected":[99,137],"likelihood.":[101],"Asymptotic":[102],"properties":[103],"derived":[112],"under":[113,218],"certain":[114],"assumptions.":[115],"An":[116],"is":[119,130,151,172,179,188,202,222,227],"usually":[120],"constructed":[121],"such":[122],"that":[123,144,164,201],"true":[125,146,167,186],"value":[126,147,168,187],"parameter":[129,150,171],"point":[132],"log-likelihood.":[138],"Often,":[139],"one":[140],"can":[141],"only":[142],"verify":[143],"local":[153,190,197],"attraction,":[156,175,193],"but":[157],"not":[158],"global":[160,174,177],"attraction.":[161],"show":[163],"when":[165,184],"any":[176],"estimate":[178,200],"consistent":[180,203],"asymptotically":[182,205],"normal;":[183],"there":[194],"exists":[195],"normal,":[206],"with":[207,229,298,308],"probability":[209],"tending":[210],"1.":[212],"behavior":[214],"misspecified":[220],"also":[223],"discussed.":[224],"Our":[225],"methodology":[226],"illustrated":[228],"three":[230],"examples:":[231],"(i)":[232],"estimation":[233],"treatment":[236],"group":[237],"difference":[238],"in":[239,264,283,293],"level":[241],"censored":[243],"HIV":[244],"RNA":[245],"viral":[246],"load":[247],"from":[248,266],"AIDS":[250],"clinical":[251],"trial;":[252],"(ii)":[253],"analysis":[254],"relationship":[257],"between":[258],"forced":[259],"expiratory":[260],"volume":[261],"height":[263],"girls":[265],"longitudinal":[268],"pulmonary":[269],"function":[270],"study;":[271],"(iii)":[273],"investigation":[274],"impact":[277],"smoking":[279],"lung":[281],"cancer":[282],"presence":[285],"DNA":[287],"adducts.":[288],"Two":[289],"additional":[290],"examples":[291],"supplementary":[295],"materials,":[296],"GEEs":[297],"missing":[299],"covariates":[300],"unweighted":[303],"estimator":[304],"big":[306],"data":[307],"subsampling.":[309],"Supplementary":[310],"files":[311],"this":[313],"article":[314],"available":[316],"online.":[317]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}