{"id":"https://openalex.org/W3082119356","doi":"https://doi.org/10.1109/access.2020.3019807","title":"Modeling and Analysis of Residential Electricity Consumption Statistics: A Tracy-Widom Mixture Density Approximation","display_name":"Modeling and Analysis of Residential Electricity Consumption Statistics: A Tracy-Widom Mixture Density Approximation","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3082119356","doi":"https://doi.org/10.1109/access.2020.3019807","mag":"3082119356"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.3019807","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3019807","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09178728.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/ielx7/6287639/8948470/09178728.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030622912","display_name":"Shiwen Liao","orcid":null},"institutions":[{"id":"https://openalex.org/I4210130704","display_name":"University of Michigan\u2013Dearborn","ror":"https://ror.org/035wtm547","country_code":"US","type":"education","lineage":["https://openalex.org/I4210130704"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shiwen Liao","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Michigan-Dearborn, Dearborn, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Michigan-Dearborn, Dearborn, USA","institution_ids":["https://openalex.org/I4210130704"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003062979","display_name":"Lu Wei","orcid":"https://orcid.org/0000-0002-8065-0956"},"institutions":[{"id":"https://openalex.org/I4210130704","display_name":"University of Michigan\u2013Dearborn","ror":"https://ror.org/035wtm547","country_code":"US","type":"education","lineage":["https://openalex.org/I4210130704"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lu Wei","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Michigan-Dearborn, Dearborn, USA"],"raw_orcid":"https://orcid.org/0000-0002-8065-0956","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Michigan-Dearborn, Dearborn, USA","institution_ids":["https://openalex.org/I4210130704"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100420781","display_name":"Taehyung Kim","orcid":"https://orcid.org/0000-0003-1127-5977"},"institutions":[{"id":"https://openalex.org/I4210130704","display_name":"University of Michigan\u2013Dearborn","ror":"https://ror.org/035wtm547","country_code":"US","type":"education","lineage":["https://openalex.org/I4210130704"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Taehyung Kim","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Michigan-Dearborn, Dearborn, USA"],"raw_orcid":"https://orcid.org/0000-0003-1127-5977","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Michigan-Dearborn, Dearborn, USA","institution_ids":["https://openalex.org/I4210130704"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009664810","display_name":"Wencong Su","orcid":"https://orcid.org/0000-0003-1482-3078"},"institutions":[{"id":"https://openalex.org/I4210130704","display_name":"University of Michigan\u2013Dearborn","ror":"https://ror.org/035wtm547","country_code":"US","type":"education","lineage":["https://openalex.org/I4210130704"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wencong Su","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Michigan-Dearborn, Dearborn, USA"],"raw_orcid":"https://orcid.org/0000-0003-1482-3078","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Michigan-Dearborn, Dearborn, USA","institution_ids":["https://openalex.org/I4210130704"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210130704"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.9126,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.80597254,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"8","issue":null,"first_page":"163558","last_page":"163567"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9908000230789185,"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/T11980","display_name":"Human Mobility and Location-Based Analysis","score":0.9854999780654907,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/electricity","display_name":"Electricity","score":0.7966446280479431},{"id":"https://openalex.org/keywords/consumption","display_name":"Consumption (sociology)","score":0.582764208316803},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5559353232383728},{"id":"https://openalex.org/keywords/electric-power-distribution","display_name":"Electric power distribution","score":0.49741366505622864},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.479328989982605},{"id":"https://openalex.org/keywords/electricity-generation","display_name":"Electricity generation","score":0.4730975925922394},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.46112626791000366},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4321296215057373},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4296429753303528},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35160669684410095},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27127736806869507},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.20146948099136353},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.18299159407615662},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.07960584759712219}],"concepts":[{"id":"https://openalex.org/C206658404","wikidata":"https://www.wikidata.org/wiki/Q12725","display_name":"Electricity","level":2,"score":0.7966446280479431},{"id":"https://openalex.org/C30772137","wikidata":"https://www.wikidata.org/wiki/Q5164762","display_name":"Consumption (sociology)","level":2,"score":0.582764208316803},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5559353232383728},{"id":"https://openalex.org/C206888370","wikidata":"https://www.wikidata.org/wiki/Q844861","display_name":"Electric power distribution","level":3,"score":0.49741366505622864},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.479328989982605},{"id":"https://openalex.org/C423512","wikidata":"https://www.wikidata.org/wiki/Q383973","display_name":"Electricity generation","level":3,"score":0.4730975925922394},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.46112626791000366},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4321296215057373},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4296429753303528},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35160669684410095},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27127736806869507},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.20146948099136353},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.18299159407615662},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.07960584759712219},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.0},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2020.3019807","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3019807","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09178728.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:6d6304c567984ecb8974e3a23461858f","is_oa":true,"landing_page_url":"https://doaj.org/article/6d6304c567984ecb8974e3a23461858f","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 8, Pp 163558-163567 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.3019807","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3019807","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09178728.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":[{"id":"https://metadata.un.org/sdg/7","score":0.5199999809265137,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3082119356.pdf","grobid_xml":"https://content.openalex.org/works/W3082119356.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1504264851","https://openalex.org/W1520752838","https://openalex.org/W1571466437","https://openalex.org/W1993405207","https://openalex.org/W1995012902","https://openalex.org/W2002286769","https://openalex.org/W2007348070","https://openalex.org/W2018181725","https://openalex.org/W2054996550","https://openalex.org/W2062210712","https://openalex.org/W2066405087","https://openalex.org/W2109970745","https://openalex.org/W2116029640","https://openalex.org/W2152785007","https://openalex.org/W2278382327","https://openalex.org/W2499952289","https://openalex.org/W2559763235","https://openalex.org/W2566611748","https://openalex.org/W2570479246","https://openalex.org/W2611168919","https://openalex.org/W2776356849","https://openalex.org/W2794352985","https://openalex.org/W2953554272","https://openalex.org/W2976436525","https://openalex.org/W3122962710","https://openalex.org/W3123411065","https://openalex.org/W6630345880","https://openalex.org/W6768293828"],"related_works":["https://openalex.org/W2361441833","https://openalex.org/W3136869357","https://openalex.org/W3200447293","https://openalex.org/W3093216143","https://openalex.org/W2545445259","https://openalex.org/W2897931424","https://openalex.org/W1990062858","https://openalex.org/W2900183140","https://openalex.org/W4220654627","https://openalex.org/W3133626276"],"abstract_inverted_index":{"Residential":[0],"electricity":[1,47,61,98,128,139,153],"loads":[2],"highly":[3],"fluctuate":[4],"which":[5,149],"makes":[6],"it":[7],"challenging":[8],"to":[9,41,56,70,82,104],"predict":[10,42],"and":[11,14,29,106],"estimate":[12],"changes":[13],"anomalies.":[15],"This":[16],"article":[17],"studies":[18],"the":[19,23,58,72,76,83,87,108,115,133],"statistical":[20],"distribution":[21,53,79,93,118],"of":[22,26,75],"maximum":[24,59],"load":[25],"residential":[27,46,60,127,138],"settlements":[28],"proposes":[30],"a":[31,50,67,90],"new":[32],"model":[33],"that":[34,114,137],"is":[35,54,94,102,119,142],"more":[36,120],"reliable":[37],"than":[38,122],"conventional":[39,84,123],"methods":[40,124],"extreme":[43],"events":[44],"in":[45,86,125],"consumption.":[48],"Specially,":[49],"multimodal":[51,77,91,116],"Tracy-Widom":[52,78,117],"proposed":[55,109],"characterize":[57],"consumption":[62,99,129,140,154],"data.":[63,130],"We":[64],"also":[65],"propose":[66],"numerical":[68,134],"method":[69],"approximate":[71],"density":[73],"function":[74],"as":[80],"opposed":[81],"approach":[85],"literature,":[88],"where":[89],"normal":[92],"utilized.":[95],"A":[96],"simulated":[97],"data":[100],"set":[101],"used":[103],"test":[105],"validate":[107],"methods.":[110],"The":[111],"results":[112,135],"demonstrate":[113],"accurate":[121],"modeling":[126],"In":[131],"addition,":[132],"show":[136],"behavior":[141],"determined":[143],"by":[144],"certain":[145],"socioeconomic":[146],"factors":[147],"for":[148],"correlations":[150],"with":[151],"household":[152],"exist.":[155]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}