{"id":"https://openalex.org/W4398757490","doi":"https://doi.org/10.1109/tr.2024.3398652","title":"Multivariate $t$ Degradation Processes for Dependent Multivariate Degradation Data","display_name":"Multivariate $t$ Degradation Processes for Dependent Multivariate Degradation Data","publication_year":2024,"publication_date":"2024-05-23","ids":{"openalex":"https://openalex.org/W4398757490","doi":"https://doi.org/10.1109/tr.2024.3398652"},"language":"en","primary_location":{"id":"doi:10.1109/tr.2024.3398652","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tr.2024.3398652","pdf_url":null,"source":{"id":"https://openalex.org/S87725633","display_name":"IEEE Transactions on Reliability","issn_l":"0018-9529","issn":["0018-9529","1558-1721"],"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 Reliability","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/A5101776018","display_name":"Qifang Liu","orcid":"https://orcid.org/0009-0001-0464-4319"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qifang Liu","raw_affiliation_strings":["Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0009-0001-0464-4319","affiliations":[{"raw_affiliation_string":"Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101701170","display_name":"Lu Jin","orcid":"https://orcid.org/0000-0003-2669-4939"},"institutions":[{"id":"https://openalex.org/I20529979","display_name":"University of Electro-Communications","ror":"https://ror.org/02x73b849","country_code":"JP","type":"education","lineage":["https://openalex.org/I20529979"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Lu Jin","raw_affiliation_strings":["Department of Informatics, University of Electro-Communications, Tokyo, Japan"],"raw_orcid":"https://orcid.org/0000-0003-2669-4939","affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Electro-Communications, Tokyo, Japan","institution_ids":["https://openalex.org/I20529979"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061277344","display_name":"Hon Keung Tony Ng","orcid":"https://orcid.org/0000-0003-4685-2199"},"institutions":[{"id":"https://openalex.org/I139924743","display_name":"Bentley University","ror":"https://ror.org/01px48m89","country_code":"US","type":"education","lineage":["https://openalex.org/I139924743"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hon Keung Tony Ng","raw_affiliation_strings":["Department of Mathematical Sciences, Bentley University, Waltham, MA, USA"],"raw_orcid":"https://orcid.org/0000-0003-4685-2199","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Bentley University, Waltham, MA, USA","institution_ids":["https://openalex.org/I139924743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015149203","display_name":"Qingpei Hu","orcid":"https://orcid.org/0000-0003-3702-974X"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingpei Hu","raw_affiliation_strings":["Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-3702-974X","affiliations":[{"raw_affiliation_string":"Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047962380","display_name":"Dan Yu","orcid":"https://orcid.org/0000-0001-9190-2090"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dan Yu","raw_affiliation_strings":["Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0001-9190-2090","affiliations":[{"raw_affiliation_string":"Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210165038"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5101776018"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485","https://openalex.org/I4210165038"],"apc_list":null,"apc_paid":null,"fwci":2.4391,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.87604439,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"74","issue":"1","first_page":"2265","last_page":"2279"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9959999918937683,"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":0.9959999918937683,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9592999815940857,"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/T12423","display_name":"Software Reliability and Analysis Research","score":0.9453999996185303,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/degradation","display_name":"Degradation (telecommunications)","score":0.7889851331710815},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.7712539434432983},{"id":"https://openalex.org/keywords/multivariate-analysis","display_name":"Multivariate analysis","score":0.5185083150863647},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43893879652023315},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.39959633350372314},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.33891934156417847},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2500903904438019}],"concepts":[{"id":"https://openalex.org/C2779679103","wikidata":"https://www.wikidata.org/wiki/Q5251805","display_name":"Degradation (telecommunications)","level":2,"score":0.7889851331710815},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.7712539434432983},{"id":"https://openalex.org/C38180746","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate analysis","level":2,"score":0.5185083150863647},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43893879652023315},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.39959633350372314},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.33891934156417847},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2500903904438019},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tr.2024.3398652","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tr.2024.3398652","pdf_url":null,"source":{"id":"https://openalex.org/S87725633","display_name":"IEEE Transactions on Reliability","issn_l":"0018-9529","issn":["0018-9529","1558-1721"],"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 Reliability","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1607202247","https://openalex.org/W1932372884","https://openalex.org/W1982328533","https://openalex.org/W1984114198","https://openalex.org/W1988603015","https://openalex.org/W2004277545","https://openalex.org/W2033619772","https://openalex.org/W2033756468","https://openalex.org/W2040287221","https://openalex.org/W2040607369","https://openalex.org/W2067266460","https://openalex.org/W2087127100","https://openalex.org/W2126432428","https://openalex.org/W2327276550","https://openalex.org/W2498809433","https://openalex.org/W2512716701","https://openalex.org/W2751860618","https://openalex.org/W2751935087","https://openalex.org/W2954948523","https://openalex.org/W2987567555","https://openalex.org/W3034063370","https://openalex.org/W3042486509","https://openalex.org/W3083869288","https://openalex.org/W3109554832","https://openalex.org/W3209366111","https://openalex.org/W3217122252","https://openalex.org/W4211128380","https://openalex.org/W4246784033","https://openalex.org/W4283023372","https://openalex.org/W4311243462","https://openalex.org/W4385417137","https://openalex.org/W6869678172"],"related_works":["https://openalex.org/W2406638334","https://openalex.org/W40745829","https://openalex.org/W4318262572","https://openalex.org/W1978357124","https://openalex.org/W1578824628","https://openalex.org/W2032728545","https://openalex.org/W1570805059","https://openalex.org/W4250754046","https://openalex.org/W4243682621","https://openalex.org/W2036849593"],"abstract_inverted_index":{"Multiple":[0],"performance":[1],"characteristics":[2],"(PCs)":[3],"are":[4,17,105,132,158],"common":[5],"in":[6,78,122],"modern":[7],"products":[8],"with":[9,20],"complex":[10],"structures":[11],"and":[12,75,81,98,110,142,164],"diverse":[13],"functions.":[14],"These":[15],"PCs":[16],"usually":[18],"dependent,":[19],"significant":[21],"unit-specific":[22],"variability":[23],"among":[24],"the":[25,30,57,76,102,117,136,139,143,147,162,167],"multivariate":[26,36,46,60,72,123,148],"degradation":[27,32,37,51,61,124],"processes.":[28],"Therefore,":[29],"associated":[31],"modeling":[33,125],"for":[34,53,95],"dependent":[35],"processes":[38,62],"is":[39,63,83,93,126],"important.":[40],"This":[41],"article":[42],"proposes":[43],"a":[44,71,86],"novel":[45],"<inline-formula":[47,149],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[48,150],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[49,151],"notation=\"LaTeX\">$t$</tex-math></inline-formula>":[50,152],"model":[52,103,120],"this":[54],"purpose.":[55],"Specifically,":[56],"dependence":[58],"between":[59],"captured":[64],"by":[65,85,107],"random":[66],"drift":[67],"parameters":[68,80,104],"that":[69],"follow":[70],"normal":[73,108],"distribution,":[74],"variation":[77],"diffusion":[79],"variance\u2013covariance":[82],"characterized":[84],"gamma":[87],"distribution.":[88],"An":[89],"expectation-maximization":[90],"(EM)":[91],"algorithm":[92,141],"employed":[94],"likelihood":[96],"inference,":[97],"confidence":[99],"intervals":[100],"of":[101,119,138,146,166],"constructed":[106],"approximation":[109],"bootstrap":[111],"method.":[112],"A":[113],"theoretical":[114,144],"exploration":[115],"investigating":[116],"effects":[118],"misspecification":[121],"addressed.":[127],"Monte":[128],"Carlo":[129],"simulation":[130],"studies":[131],"performed":[133],"to":[134,160],"validate":[135],"effectiveness":[137],"EM":[140],"properties":[145],"model.":[153],"Finally,":[154],"two":[155],"illustrative":[156],"examples":[157],"used":[159],"demonstrate":[161],"applicability":[163],"advantages":[165],"proposed":[168],"methods.":[169]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
