{"id":"https://openalex.org/W1580162914","doi":"https://doi.org/10.1080/03610910903480800","title":"Estimating Transition Probabilities for Ignorable Intermittent Missing Data in a Discrete-Time Markov Chain","display_name":"Estimating Transition Probabilities for Ignorable Intermittent Missing Data in a Discrete-Time Markov Chain","publication_year":2010,"publication_date":"2010-01-11","ids":{"openalex":"https://openalex.org/W1580162914","doi":"https://doi.org/10.1080/03610910903480800","mag":"1580162914"},"language":"en","primary_location":{"id":"doi:10.1080/03610910903480800","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610910903480800","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"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","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","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/A5081458605","display_name":"Hung\u2010Wen Yeh","orcid":"https://orcid.org/0000-0002-9904-3275"},"institutions":[{"id":"https://openalex.org/I4210128618","display_name":"University of Kansas Medical Center","ror":"https://ror.org/036c9yv20","country_code":"US","type":"funder","lineage":["https://openalex.org/I4210128618"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Hung-Wen Yeh","raw_affiliation_strings":["a Department of Biostatistics , University of Kansas Medical Center , Kansas City, Kansas, USA","Department of Biostatistics, University of Kansas Medical Center, Kansas City, Kansas, USA,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"a Department of Biostatistics , University of Kansas Medical Center , Kansas City, Kansas, USA","institution_ids":["https://openalex.org/I4210128618"]},{"raw_affiliation_string":"Department of Biostatistics, University of Kansas Medical Center, Kansas City, Kansas, USA,","institution_ids":["https://openalex.org/I4210128618"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022469672","display_name":"Wenyaw Chan","orcid":"https://orcid.org/0000-0003-3329-5282"},"institutions":[{"id":"https://openalex.org/I919571938","display_name":"The University of Texas Health Science Center at Houston","ror":"https://ror.org/03gds6c39","country_code":"US","type":"education","lineage":["https://openalex.org/I919571938"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wenyaw Chan","raw_affiliation_strings":["b Division of Biostatistics , The University of Texas School of Public Health , Houston, Texas, USA","Division of Biostatistics , The University of Texas School of Public Health , Houston, Texas, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"b Division of Biostatistics , The University of Texas School of Public Health , Houston, Texas, USA","institution_ids":["https://openalex.org/I919571938"]},{"raw_affiliation_string":"Division of Biostatistics , The University of Texas School of Public Health , Houston, Texas, USA","institution_ids":["https://openalex.org/I919571938"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088985802","display_name":"Elaine Symanski","orcid":"https://orcid.org/0000-0002-9073-8898"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]},{"id":"https://openalex.org/I919571938","display_name":"The University of Texas Health Science Center at Houston","ror":"https://ror.org/03gds6c39","country_code":"US","type":"education","lineage":["https://openalex.org/I919571938"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Elaine Symanski","raw_affiliation_strings":["c Division of Epidemiology and Disease Control , The University of Texas School of Public Health , Houston, Texas, USA","Division of Epidemiology and Disease Control , The University of Texas School of Public Health , Houston , Texas , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"c Division of Epidemiology and Disease Control , The University of Texas School of Public Health , Houston, Texas, USA","institution_ids":["https://openalex.org/I919571938"]},{"raw_affiliation_string":"Division of Epidemiology and Disease Control , The University of Texas School of Public Health , Houston , Texas , USA","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042299275","display_name":"Barry R. Davis","orcid":"https://orcid.org/0000-0002-6943-5673"},"institutions":[{"id":"https://openalex.org/I919571938","display_name":"The University of Texas Health Science Center at Houston","ror":"https://ror.org/03gds6c39","country_code":"US","type":"education","lineage":["https://openalex.org/I919571938"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Barry R. Davis","raw_affiliation_strings":["b Division of Biostatistics , The University of Texas School of Public Health , Houston, Texas, USA","Division of Biostatistics , The University of Texas School of Public Health , Houston, Texas, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"b Division of Biostatistics , The University of Texas School of Public Health , Houston, Texas, USA","institution_ids":["https://openalex.org/I919571938"]},{"raw_affiliation_string":"Division of Biostatistics , The University of Texas School of Public Health , Houston, Texas, USA","institution_ids":["https://openalex.org/I919571938"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5081458605"],"corresponding_institution_ids":["https://openalex.org/I4210128618"],"apc_list":null,"apc_paid":null,"fwci":1.0424,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.77010554,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"39","issue":"2","first_page":"433","last_page":"448"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9968000054359436,"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":0.9968000054359436,"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/T13283","display_name":"Mental Health Research Topics","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11235","display_name":"Statistical Methods in Clinical Trials","score":0.9868999719619751,"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/missing-data","display_name":"Missing data","score":0.7623134851455688},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.7018102407455444},{"id":"https://openalex.org/keywords/expectation\u2013maximization-algorithm","display_name":"Expectation\u2013maximization algorithm","score":0.5952699184417725},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.5038830637931824},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4872792959213257},{"id":"https://openalex.org/keywords/imputation","display_name":"Imputation (statistics)","score":0.48016613721847534},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4657156467437744},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4401933550834656},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.41829031705856323},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3437133729457855},{"id":"https://openalex.org/keywords/maximum-likelihood","display_name":"Maximum likelihood","score":0.2667391002178192}],"concepts":[{"id":"https://openalex.org/C9357733","wikidata":"https://www.wikidata.org/wiki/Q6878417","display_name":"Missing data","level":2,"score":0.7623134851455688},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.7018102407455444},{"id":"https://openalex.org/C182081679","wikidata":"https://www.wikidata.org/wiki/Q1275153","display_name":"Expectation\u2013maximization algorithm","level":3,"score":0.5952699184417725},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5038830637931824},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4872792959213257},{"id":"https://openalex.org/C58041806","wikidata":"https://www.wikidata.org/wiki/Q1660484","display_name":"Imputation (statistics)","level":3,"score":0.48016613721847534},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4657156467437744},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4401933550834656},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.41829031705856323},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3437133729457855},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.2667391002178192}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610910903480800","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610910903480800","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"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","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320332697","display_name":"University of Illinois at Chicago","ror":"https://ror.org/02mpq6x41"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1984514250","https://openalex.org/W2017070295","https://openalex.org/W2020129240","https://openalex.org/W2036319502","https://openalex.org/W2044758663","https://openalex.org/W2049633694","https://openalex.org/W2049663477","https://openalex.org/W2075359038","https://openalex.org/W2089834667","https://openalex.org/W2156746747","https://openalex.org/W4232217265","https://openalex.org/W6721667826"],"related_works":["https://openalex.org/W2181530120","https://openalex.org/W4211215373","https://openalex.org/W2024529227","https://openalex.org/W2055961818","https://openalex.org/W1574575415","https://openalex.org/W3144172081","https://openalex.org/W3179858851","https://openalex.org/W3028371478","https://openalex.org/W2081476516","https://openalex.org/W2581984549"],"abstract_inverted_index":{"This":[0],"article":[1],"considers":[2],"a":[3,26,38,48,85],"discrete-time":[4],"Markov":[5],"chain":[6],"for":[7,129],"modeling":[8],"transition":[9,156],"probabilities":[10,157],"when":[11],"multiple":[12],"successive":[13],"observations":[14],"are":[15],"missing":[16,109,112,117],"at":[17,114,118],"random":[18,115],"between":[19],"two":[20],"observed":[21,34,64],"outcomes":[22],"using":[23,32],"three":[24,105],"methods:":[25],"na\\\"\u0131ve":[27,149],"analog":[28],"of":[29,58,99,111,154],"complete-case":[30],"analysis":[31],"the":[33,51,59,63,69,75,79,95,100,104,123,148,155,168,177],"one-step":[35],"transitions":[36],"alone,":[37],"non":[39],"data-augmentation":[40,49,136],"method":[41,150,166],"(NL)":[42],"by":[43,68],"solving":[44],"nonlinear":[45],"equations,":[46],"and":[47,74,97,116,137,142,146,167],"method,":[50],"Expectation-Maximization":[52],"(EM)":[53],"algorithm.":[54],"The":[55,164],"explicit":[56],"form":[57],"conditional":[60,180],"log-likelihood":[61],"given":[62],"information":[65],"as":[66],"required":[67],"E":[70],"step":[71,81],"is":[72,82],"provided,":[73],"iterative":[76],"formula":[77],"in":[78,84,103,152,171],"M":[80],"expressed":[83],"closed":[86],"form.":[87],"An":[88],"empirical":[89],"study":[90],"was":[91,127,132],"performed":[92],"to":[93,185],"examine":[94],"accuracy":[96],"precision":[98],"estimates":[101,153],"obtained":[102],"methods":[106,139],"under":[107],"ignorable":[108],"mechanisms":[110],"completely":[113],"random.":[119],"A":[120],"dataset":[121],"from":[122],"mental":[124],"health":[125],"arena":[126],"used":[128],"illustration.":[130],"It":[131],"found":[133],"that":[134,147],"both":[135],"nonaugmentation":[138],"provide":[140,173],"accurate":[141],"precise":[143],"point":[144],"estimation,":[145],"resulted":[151],"with":[158],"similar":[159,174],"bias":[160],"but":[161],"larger":[162],"MSE.":[163],"NL":[165],"EM":[169],"algorithm":[170],"general":[172],"results":[175],"whereas":[176],"latter":[178],"provides":[179],"expected":[181],"row":[182],"margins":[183],"leading":[184],"smaller":[186],"standard":[187],"errors.":[188]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}