{"id":"https://openalex.org/W2990765281","doi":"https://doi.org/10.1109/access.2019.2954717","title":"A Note on Parameters Estimation for Nonlinear Wiener Processes With Measurement Errors","display_name":"A Note on Parameters Estimation for Nonlinear Wiener Processes With Measurement Errors","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2990765281","doi":"https://doi.org/10.1109/access.2019.2954717","mag":"2990765281"},"language":"en","primary_location":{"id":"doi:10.1109/access.2019.2954717","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2954717","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08907788.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08907788.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045561861","display_name":"Shengjin Tang","orcid":"https://orcid.org/0000-0003-2480-4188"},"institutions":[{"id":"https://openalex.org/I4210130660","display_name":"Xi'an High Tech University","ror":"https://ror.org/03vt7za95","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210130660"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shengjin Tang","raw_affiliation_strings":["High-Tech Institute of Xi\u2019an, Xi\u2019an, China","High-Tech Institute of Xi'an, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0003-2480-4188","affiliations":[{"raw_affiliation_string":"High-Tech Institute of Xi\u2019an, Xi\u2019an, China","institution_ids":["https://openalex.org/I4210130660"]},{"raw_affiliation_string":"High-Tech Institute of Xi'an, Xi'an, China","institution_ids":["https://openalex.org/I4210130660"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100676368","display_name":"Chuanqiang Yu","orcid":"https://orcid.org/0000-0001-5525-1104"},"institutions":[{"id":"https://openalex.org/I4210130660","display_name":"Xi'an High Tech University","ror":"https://ror.org/03vt7za95","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210130660"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chuanqiang Yu","raw_affiliation_strings":["High-Tech Institute of Xi\u2019an, Xi\u2019an, China","High-Tech Institute of Xi'an, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0001-5525-1104","affiliations":[{"raw_affiliation_string":"High-Tech Institute of Xi\u2019an, Xi\u2019an, China","institution_ids":["https://openalex.org/I4210130660"]},{"raw_affiliation_string":"High-Tech Institute of Xi'an, Xi'an, China","institution_ids":["https://openalex.org/I4210130660"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100656314","display_name":"Xiaoyan Sun","orcid":"https://orcid.org/0000-0002-5165-9046"},"institutions":[{"id":"https://openalex.org/I4210130660","display_name":"Xi'an High Tech University","ror":"https://ror.org/03vt7za95","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210130660"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoyan Sun","raw_affiliation_strings":["High-Tech Institute of Xi\u2019an, Xi\u2019an, China","High-Tech Institute of Xi'an, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0002-5165-9046","affiliations":[{"raw_affiliation_string":"High-Tech Institute of Xi\u2019an, Xi\u2019an, China","institution_ids":["https://openalex.org/I4210130660"]},{"raw_affiliation_string":"High-Tech Institute of Xi'an, Xi'an, China","institution_ids":["https://openalex.org/I4210130660"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091425815","display_name":"Hongdong Fan","orcid":"https://orcid.org/0000-0002-3532-9741"},"institutions":[{"id":"https://openalex.org/I4210130660","display_name":"Xi'an High Tech University","ror":"https://ror.org/03vt7za95","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210130660"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongdong Fan","raw_affiliation_strings":["High-Tech Institute of Xi\u2019an, Xi\u2019an, China","High-Tech Institute of Xi'an, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0002-3532-9741","affiliations":[{"raw_affiliation_string":"High-Tech Institute of Xi\u2019an, Xi\u2019an, China","institution_ids":["https://openalex.org/I4210130660"]},{"raw_affiliation_string":"High-Tech Institute of Xi'an, Xi'an, China","institution_ids":["https://openalex.org/I4210130660"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067994505","display_name":"Xiaosheng Si","orcid":"https://orcid.org/0000-0001-5226-9923"},"institutions":[{"id":"https://openalex.org/I4210130660","display_name":"Xi'an High Tech University","ror":"https://ror.org/03vt7za95","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210130660"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaosheng Si","raw_affiliation_strings":["High-Tech Institute of Xi\u2019an, Xi\u2019an, China","High-Tech Institute of Xi'an, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0001-5226-9923","affiliations":[{"raw_affiliation_string":"High-Tech Institute of Xi\u2019an, Xi\u2019an, China","institution_ids":["https://openalex.org/I4210130660"]},{"raw_affiliation_string":"High-Tech Institute of Xi'an, Xi'an, China","institution_ids":["https://openalex.org/I4210130660"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5045561861"],"corresponding_institution_ids":["https://openalex.org/I4210130660"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.8926,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.75401226,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"7","issue":null,"first_page":"176756","last_page":"176766"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11443","display_name":"Advanced Statistical Process Monitoring","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11798","display_name":"Optimal Experimental Design Methods","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.6078636646270752},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5729883313179016},{"id":"https://openalex.org/keywords/likelihood-function","display_name":"Likelihood function","score":0.5729157328605652},{"id":"https://openalex.org/keywords/estimation-of-covariance-matrices","display_name":"Estimation of covariance matrices","score":0.5418011546134949},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5402581095695496},{"id":"https://openalex.org/keywords/wiener-filter","display_name":"Wiener filter","score":0.5156225562095642},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5080521106719971},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.4796912372112274},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.4791538119316101},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4787834882736206},{"id":"https://openalex.org/keywords/wiener-process","display_name":"Wiener process","score":0.4712940752506256},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.44795289635658264},{"id":"https://openalex.org/keywords/expectation\u2013maximization-algorithm","display_name":"Expectation\u2013maximization algorithm","score":0.42005911469459534},{"id":"https://openalex.org/keywords/covariance-function","display_name":"Covariance function","score":0.41500186920166016},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4089367985725403},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3562242388725281},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2560293674468994},{"id":"https://openalex.org/keywords/maximum-likelihood","display_name":"Maximum likelihood","score":0.18289309740066528}],"concepts":[{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.6078636646270752},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5729883313179016},{"id":"https://openalex.org/C89106044","wikidata":"https://www.wikidata.org/wiki/Q45284","display_name":"Likelihood function","level":3,"score":0.5729157328605652},{"id":"https://openalex.org/C180877172","wikidata":"https://www.wikidata.org/wiki/Q5401390","display_name":"Estimation of covariance matrices","level":3,"score":0.5418011546134949},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5402581095695496},{"id":"https://openalex.org/C18537770","wikidata":"https://www.wikidata.org/wiki/Q25523","display_name":"Wiener filter","level":2,"score":0.5156225562095642},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5080521106719971},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.4796912372112274},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.4791538119316101},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4787834882736206},{"id":"https://openalex.org/C60391097","wikidata":"https://www.wikidata.org/wiki/Q1056809","display_name":"Wiener process","level":2,"score":0.4712940752506256},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.44795289635658264},{"id":"https://openalex.org/C182081679","wikidata":"https://www.wikidata.org/wiki/Q1275153","display_name":"Expectation\u2013maximization algorithm","level":3,"score":0.42005911469459534},{"id":"https://openalex.org/C137250428","wikidata":"https://www.wikidata.org/wiki/Q5178897","display_name":"Covariance function","level":3,"score":0.41500186920166016},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4089367985725403},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3562242388725281},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2560293674468994},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.18289309740066528},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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":2,"locations":[{"id":"doi:10.1109/access.2019.2954717","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2954717","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08907788.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:73cf8d9bb2e0411d8720177656ef8176","is_oa":true,"landing_page_url":"https://doaj.org/article/73cf8d9bb2e0411d8720177656ef8176","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":"IEEE Access, Vol 7, Pp 176756-176766 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2019.2954717","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2954717","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08907788.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1289416052","display_name":null,"funder_award_id":"2017JQ6015","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2286245311","display_name":null,"funder_award_id":"KZ201710028028","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2464202759","display_name":null,"funder_award_id":"61773386","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2885405594","display_name":null,"funder_award_id":"61573366","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2888452478","display_name":null,"funder_award_id":"2017JQ6015","funder_id":"https://openalex.org/F4320324173","funder_display_name":"Natural Science Foundation of Shaanxi Province"},{"id":"https://openalex.org/G3533106664","display_name":null,"funder_award_id":"61703410","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4095810677","display_name":null,"funder_award_id":"61873175","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5116167161","display_name":null,"funder_award_id":"61873273","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G576236176","display_name":null,"funder_award_id":"61573076","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5852167102","display_name":null,"funder_award_id":"61922089","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6262483342","display_name":null,"funder_award_id":"KZ201710028028","funder_id":"https://openalex.org/F4320322919","funder_display_name":"Natural Science Foundation of Beijing Municipality"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322919","display_name":"Natural Science Foundation of Beijing Municipality","ror":null},{"id":"https://openalex.org/F4320324173","display_name":"Natural Science Foundation of Shaanxi Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2990765281.pdf","grobid_xml":"https://content.openalex.org/works/W2990765281.grobid-xml"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W1503015152","https://openalex.org/W1547669723","https://openalex.org/W1601826958","https://openalex.org/W1932372884","https://openalex.org/W1981460882","https://openalex.org/W1987464286","https://openalex.org/W2006287597","https://openalex.org/W2012346040","https://openalex.org/W2020419099","https://openalex.org/W2022131151","https://openalex.org/W2024991751","https://openalex.org/W2033756468","https://openalex.org/W2043129860","https://openalex.org/W2049633694","https://openalex.org/W2051617744","https://openalex.org/W2055873761","https://openalex.org/W2065205300","https://openalex.org/W2067266460","https://openalex.org/W2103590861","https://openalex.org/W2108898839","https://openalex.org/W2116870707","https://openalex.org/W2126432428","https://openalex.org/W2137297477","https://openalex.org/W2319698979","https://openalex.org/W2578343054","https://openalex.org/W2586252569","https://openalex.org/W2599868532","https://openalex.org/W2620871799","https://openalex.org/W2737468872","https://openalex.org/W2752760815","https://openalex.org/W2768148617","https://openalex.org/W2770509271","https://openalex.org/W2791384746","https://openalex.org/W2807490715","https://openalex.org/W2808540767","https://openalex.org/W2866389524","https://openalex.org/W2895889833","https://openalex.org/W2898561100","https://openalex.org/W2901576045","https://openalex.org/W2906262533","https://openalex.org/W2926150930","https://openalex.org/W2953131344","https://openalex.org/W4231021340","https://openalex.org/W4239218596","https://openalex.org/W6755476156"],"related_works":["https://openalex.org/W2133122433","https://openalex.org/W3211883524","https://openalex.org/W3135147038","https://openalex.org/W4248223124","https://openalex.org/W3025277714","https://openalex.org/W2104432942","https://openalex.org/W2179028626","https://openalex.org/W1987404909","https://openalex.org/W2050407974","https://openalex.org/W1561790410"],"abstract_inverted_index":{"The":[0],"nonlinear":[1,21],"Wiener":[2,22],"process":[3],"has":[4,150,158],"been":[5,159],"widely":[6],"used":[7],"as":[8],"a":[9,37,90,151,167,191,195],"model":[10],"for":[11,71,172],"the":[12,29,40,45,58,61,65,75,79,83,95,98,102,106,113,118,121,125,128,146,181,186,205],"degradation":[13],"process.":[14],"This":[15,67,108],"note":[16],"concerns":[17],"parameters":[18,155,173],"estimation":[19,32,141,156,174],"of":[20,64,78,101,105,120,185],"processes":[23],"with":[24,175,198],"measurement":[25],"errors":[26],"(WPME)":[27],"by":[28],"maximum":[30],"likelihood":[31,47,85],"method.":[33],"Firstly,":[34],"we":[35,88,144,165,189],"prove":[36],"rule":[38,68],"that":[39,70,127],"estimated":[41],"results":[42,59],"based":[43],"on":[44,154],"sample":[46,84],"function":[48],"developed":[49],"through":[50],"observations":[51,80],"at":[52],"each":[53],"point":[54],"are":[55],"equal":[56],"to":[57,93,133,179,200],"from":[60],"first":[62,76],"differences":[63,77],"observations.":[66],"indicates":[69],"reducing":[72],"computation":[73],"complexity":[74],"may":[81],"develop":[82],"function.":[86],"Then":[87],"present":[89],"simple":[91,109],"method":[92,110],"calculate":[94],"determinant":[96,119],"and":[97,124,183,194],"inverse":[99,129],"matrix":[100,104,123,130],"covariance":[103,122],"WPME.":[107],"could":[111,137],"avoid":[112],"overflow":[114],"error":[115],"when":[116],"calculating":[117],"case":[126,196],"is":[131],"close":[132],"be":[134],"singular,":[135],"which":[136,149],"result":[138],"in":[139,161,204],"wrong":[140],"results.":[142],"Secondly,":[143],"highlight":[145],"unit-specific":[147],"assumption,":[148],"significant":[152],"impact":[153],"but":[157],"neglected":[160],"many":[162],"papers.":[163],"Then,":[164],"propose":[166],"modified":[168],"expectation":[169],"maximization":[170],"algorithm":[171],"random":[176],"effects.":[177],"Finally,":[178],"demonstrate":[180],"application":[182],"superiority":[184],"proposed":[187],"method,":[188],"provide":[190],"numerical":[192],"example":[193],"study":[197],"comparison":[199],"several":[201],"representative":[202],"methods":[203],"literature.":[206]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
