{"id":"https://openalex.org/W3199473982","doi":"https://doi.org/10.1109/tr.2021.3107050","title":"Random-Effect Models for Degradation Analysis Based on Nonlinear Tweedie Exponential-Dispersion Processes","display_name":"Random-Effect Models for Degradation Analysis Based on Nonlinear Tweedie Exponential-Dispersion Processes","publication_year":2021,"publication_date":"2021-09-09","ids":{"openalex":"https://openalex.org/W3199473982","doi":"https://doi.org/10.1109/tr.2021.3107050","mag":"3199473982"},"language":"en","primary_location":{"id":"doi:10.1109/tr.2021.3107050","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tr.2021.3107050","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/A5100457758","display_name":"Zhen Chen","orcid":"https://orcid.org/0000-0003-2590-0307"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]},{"id":"https://openalex.org/I4391768146","display_name":"State Key Laboratory of Mechanical System and Vibration","ror":"https://ror.org/02hphne60","country_code":null,"type":"facility","lineage":["https://openalex.org/I183067930","https://openalex.org/I4391768146"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhen Chen","raw_affiliation_strings":["Department of Industrial Engineering and Management, Shanghai Jiao Tong University, Shanghai, China","State Key Laboratory of Mechanical System and Vibration, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0003-2590-0307","affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Management, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"State Key Laboratory of Mechanical System and Vibration, Shanghai, China","institution_ids":["https://openalex.org/I4391768146"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073881354","display_name":"Tangbin Xia","orcid":"https://orcid.org/0000-0001-9121-1716"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]},{"id":"https://openalex.org/I4391768146","display_name":"State Key Laboratory of Mechanical System and Vibration","ror":"https://ror.org/02hphne60","country_code":null,"type":"facility","lineage":["https://openalex.org/I183067930","https://openalex.org/I4391768146"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tangbin Xia","raw_affiliation_strings":["Department of Industrial Engineering and Management, Shanghai Jiao Tong University, Shanghai, China","State Key Laboratory of Mechanical System and Vibration, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0001-9121-1716","affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Management, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"State Key Laboratory of Mechanical System and Vibration, Shanghai, China","institution_ids":["https://openalex.org/I4391768146"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011885125","display_name":"Yaping Li","orcid":"https://orcid.org/0000-0003-0618-208X"},"institutions":[{"id":"https://openalex.org/I167027274","display_name":"Nanjing Forestry University","ror":"https://ror.org/03m96p165","country_code":"CN","type":"education","lineage":["https://openalex.org/I167027274"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yaping Li","raw_affiliation_strings":["College of Economics and Management, Nanjing Forestry University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0003-0618-208X","affiliations":[{"raw_affiliation_string":"College of Economics and Management, Nanjing Forestry University, Nanjing, China","institution_ids":["https://openalex.org/I167027274"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004079863","display_name":"Ershun Pan","orcid":"https://orcid.org/0000-0001-6026-9755"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]},{"id":"https://openalex.org/I4391768146","display_name":"State Key Laboratory of Mechanical System and Vibration","ror":"https://ror.org/02hphne60","country_code":null,"type":"facility","lineage":["https://openalex.org/I183067930","https://openalex.org/I4391768146"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ershun Pan","raw_affiliation_strings":["Department of Industrial Engineering and Management, Shanghai Jiao Tong University, Shanghai, China","State Key Laboratory of Mechanical System and Vibration, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0001-6026-9755","affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Management, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"State Key Laboratory of Mechanical System and Vibration, Shanghai, China","institution_ids":["https://openalex.org/I4391768146"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100457758"],"corresponding_institution_ids":["https://openalex.org/I183067930","https://openalex.org/I4391768146"],"apc_list":null,"apc_paid":null,"fwci":2.5564,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.88409704,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"71","issue":"1","first_page":"47","last_page":"62"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9950000047683716,"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/T11357","display_name":"Risk and Safety Analysis","score":0.9925000071525574,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6675765514373779},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.599071741104126},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.5978846549987793},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5847765207290649},{"id":"https://openalex.org/keywords/gamma-process","display_name":"Gamma process","score":0.5052972435951233},{"id":"https://openalex.org/keywords/dispersion","display_name":"Dispersion (optics)","score":0.4855220317840576},{"id":"https://openalex.org/keywords/inverse-gaussian-distribution","display_name":"Inverse Gaussian distribution","score":0.4661810100078583},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4560002386569977},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43298354744911194},{"id":"https://openalex.org/keywords/degradation","display_name":"Degradation (telecommunications)","score":0.4209189713001251},{"id":"https://openalex.org/keywords/wiener-process","display_name":"Wiener process","score":0.41247308254241943},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3993723392486572},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18930834531784058},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.11137750744819641},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0779261589050293},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0739264190196991}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6675765514373779},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.599071741104126},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.5978846549987793},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5847765207290649},{"id":"https://openalex.org/C79495835","wikidata":"https://www.wikidata.org/wiki/Q5520315","display_name":"Gamma process","level":2,"score":0.5052972435951233},{"id":"https://openalex.org/C177562468","wikidata":"https://www.wikidata.org/wiki/Q182893","display_name":"Dispersion (optics)","level":2,"score":0.4855220317840576},{"id":"https://openalex.org/C132878287","wikidata":"https://www.wikidata.org/wiki/Q1671727","display_name":"Inverse Gaussian distribution","level":3,"score":0.4661810100078583},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4560002386569977},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43298354744911194},{"id":"https://openalex.org/C2779679103","wikidata":"https://www.wikidata.org/wiki/Q5251805","display_name":"Degradation (telecommunications)","level":2,"score":0.4209189713001251},{"id":"https://openalex.org/C60391097","wikidata":"https://www.wikidata.org/wiki/Q1056809","display_name":"Wiener process","level":2,"score":0.41247308254241943},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3993723392486572},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18930834531784058},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.11137750744819641},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0779261589050293},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0739264190196991},{"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/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tr.2021.3107050","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tr.2021.3107050","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":[{"id":"https://openalex.org/G1791362416","display_name":null,"funder_award_id":"2019M661532","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G3729578903","display_name":null,"funder_award_id":"72071127","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5663175558","display_name":null,"funder_award_id":"72001138","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6232734259","display_name":null,"funder_award_id":"72171120","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W610591198","https://openalex.org/W1932372884","https://openalex.org/W1974635664","https://openalex.org/W1977650879","https://openalex.org/W1982077216","https://openalex.org/W1982286208","https://openalex.org/W1983819898","https://openalex.org/W1984114198","https://openalex.org/W1985827874","https://openalex.org/W1995373625","https://openalex.org/W2006266687","https://openalex.org/W2023083702","https://openalex.org/W2033756468","https://openalex.org/W2043129860","https://openalex.org/W2057458028","https://openalex.org/W2060965436","https://openalex.org/W2061659083","https://openalex.org/W2069719474","https://openalex.org/W2072999804","https://openalex.org/W2078590767","https://openalex.org/W2096731208","https://openalex.org/W2156742582","https://openalex.org/W2160118356","https://openalex.org/W2295843656","https://openalex.org/W2416810628","https://openalex.org/W2498809433","https://openalex.org/W2592972930","https://openalex.org/W2593861553","https://openalex.org/W2599868532","https://openalex.org/W2613273474","https://openalex.org/W2736979856","https://openalex.org/W2743933817","https://openalex.org/W2748139037","https://openalex.org/W2855472123","https://openalex.org/W2906262533","https://openalex.org/W2917089157","https://openalex.org/W2944647284","https://openalex.org/W2949503172","https://openalex.org/W2988989150","https://openalex.org/W2989166075","https://openalex.org/W2995642044","https://openalex.org/W3039407287","https://openalex.org/W3089377592","https://openalex.org/W3098194094","https://openalex.org/W4242360587"],"related_works":["https://openalex.org/W1999774053","https://openalex.org/W1995723008","https://openalex.org/W2855472123","https://openalex.org/W2109151038","https://openalex.org/W2576932757","https://openalex.org/W261963757","https://openalex.org/W2914801742","https://openalex.org/W31895810","https://openalex.org/W2905005544","https://openalex.org/W1583080557"],"abstract_inverted_index":{"The":[0,63],"degradation":[1,29,61,82,89,156],"data":[2],"of":[3,38,47,88,120,174],"highly":[4],"reliable":[5],"products":[6],"are":[7,101,133,152,166],"usually":[8],"analyzed":[9],"by":[10],"stochastic":[11,70],"process":[12,19,23,53],"models,":[13,122],"such":[14,26],"as":[15,72],"Wiener":[16],"process,":[17],"gamma":[18],"and":[20,79,91,112,129,149,162,172,178],"inverse":[21],"Gaussian":[22],"models.":[24],"If":[25],"a":[27,45,159],"specific":[28],"model":[30,65,139],"is":[31,55,76],"wrongly":[32],"assumed,":[33],"then":[34],"poor":[35],"analysis":[36],"results":[37],"reliability":[39],"assessment":[40],"would":[41],"be":[42],"obtained.":[43],"Therefore,":[44],"class":[46],"exponential-dispersion":[48,52],"processes,":[49],"named":[50],"Tweedie":[51],"(TEDP),":[54],"proposed":[56,176],"to":[57,135,168],"describe":[58],"the":[59,68,85,92,96,105,117,123,137,170,175],"products&#x2019;":[60],"paths.":[62],"TEDP":[64,107,144],"which":[66],"comprises":[67],"aforementioned":[69],"processes":[71],"its":[73],"special":[74],"cases,":[75],"more":[77],"flexible":[78],"applicable":[80],"for":[81,154],"modeling.":[83],"Considering":[84],"nonlinear":[86,106,143],"characteristics":[87],"paths":[90],"unit-to-unit":[93],"variability":[94],"among":[95],"product":[97],"units,":[98],"random-effect":[99],"models":[100,108,145,177],"established":[102],"based":[103],"on":[104],"with":[109,146],"random":[110,150],"drift":[111],"dispersion":[113],"parameters.":[114,140],"To":[115],"improve":[116],"mathematical":[118],"tractability":[119],"these":[121],"variational":[124],"inference,":[125],"expectation":[126],"maximization":[127],"algorithm":[128,132],"differential":[130],"evolution":[131],"used":[134],"estimate":[136],"unknown":[138],"Furthermore,":[141],"two":[142],"accelerated":[147,155],"factors":[148],"effects":[151],"developed":[153],"analysis.":[157],"Finally,":[158],"simulation":[160],"study":[161],"three":[163],"real":[164],"applications":[165],"presented":[167],"show":[169],"effectiveness":[171],"superiority":[173],"methods.":[179]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
