{"id":"https://openalex.org/W4392682014","doi":"https://doi.org/10.48550/arxiv.2403.05251","title":"Errors due to departure from independence in multivariate Weibull distributions","display_name":"Errors due to departure from independence in multivariate Weibull distributions","publication_year":2024,"publication_date":"2024-03-08","ids":{"openalex":"https://openalex.org/W4392682014","doi":"https://doi.org/10.48550/arxiv.2403.05251"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2403.05251","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2403.05251","pdf_url":"https://arxiv.org/pdf/2403.05251","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2403.05251","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050298263","display_name":"Subarna Bhattacharjee","orcid":"https://orcid.org/0000-0002-3697-4216","observed_orcids":["https://orcid.org/0000-0002-3697-4216"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bhattacharjee, Subarna","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114134773","display_name":"Aninda Kumar Nanda","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I143247161","display_name":"Babasaheb Bhimrao Ambedkar University","ror":"https://ror.org/04x7ccp17","country_code":"IN","type":"education","lineage":["https://openalex.org/I143247161"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Nanda, Aninda K.","raw_affiliation_strings":["Department of Statistics , Babasahev BhimRao Ambedkar University , Lucknow , UP , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics , Babasahev BhimRao Ambedkar University , Lucknow , UP , India","institution_ids":["https://openalex.org/I143247161"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065459472","display_name":"Subhasree Patra","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I6013171","display_name":"Ravenshaw University","ror":"https://ror.org/014ecgm61","country_code":"IN","type":"education","lineage":["https://openalex.org/I6013171"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Patra, Subhasree","raw_affiliation_strings":["Department of Mathematics , Ravenshaw University , Cuttack- 753003 , Odisha , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Ravenshaw University , Cuttack- 753003 , Odisha , India","institution_ids":["https://openalex.org/I6013171"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9574999809265137,"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":0.9574999809265137,"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":0.038600001484155655,"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":0.0017999999690800905,"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/series-systems","display_name":"series systems","score":0.75},{"id":"https://openalex.org/keywords/reliability-metrics","display_name":"reliability measures","score":0.9380000233650208},{"id":"https://openalex.org/keywords/error-bounds","display_name":"error bounds","score":0.7070000171661377},{"id":"https://openalex.org/keywords/relative-error","display_name":"relative error","score":0.6000000238418579},{"id":"https://openalex.org/keywords/k-out-of-n-systems","display_name":"k-out-of-n systems","score":0.8199999928474426},{"id":"https://openalex.org/keywords/parallel-systems","display_name":"parallel systems","score":0.9240000247955322},{"id":"https://openalex.org/keywords/system-reliability","display_name":"system reliability","score":0.3840000033378601}],"concepts":[{"id":"https://openalex.org/C173291955","wikidata":"https://www.wikidata.org/wiki/Q732332","display_name":"Weibull distribution","level":2,"score":0.8324864506721497},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.757908821105957},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.7028101682662964},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.6598149538040161},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5348343849182129},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4067545235157013},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.3799057602882385}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2403.05251","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2403.05251","pdf_url":"https://arxiv.org/pdf/2403.05251","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2403.05251","doi":"https://doi.org/10.48550/arxiv.2403.05251","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2403.05251","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2403.05251","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2403.05251","pdf_url":"https://arxiv.org/pdf/2403.05251","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392682014.pdf","grobid_xml":"https://content.openalex.org/works/W4392682014.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3083898685","https://openalex.org/W1973754976","https://openalex.org/W2037820527","https://openalex.org/W189075692","https://openalex.org/W4220847856","https://openalex.org/W4220801072","https://openalex.org/W2328223263","https://openalex.org/W2374817159","https://openalex.org/W2000382108","https://openalex.org/W2024770159"],"abstract_inverted_index":{"We":[0,177],"do":[1],"the":[2,10,15,42,48,61,74,84,87,133,141,158,167,181,185],"error":[3,142,159],"analysis":[4,102],"in":[5,82,184],"reliability":[6,19,49,186],"measures":[7,50,187],"due":[8],"to":[9,100,118,179],"assumption":[11,68,95],"of":[12,51,86,96,103,132,135],"independence":[13,97,120,150],"amongst":[14],"component":[16,35],"lifetimes.":[17,65],"In":[18,105],"theory,":[20],"we":[21,56,116,128,144,148,156],"come":[22],"across":[23],"different":[24],"n-component":[25,53,190],"structures":[26],"like":[27,108],"series,":[28],"parallel,":[29],"and":[30,76,151,170],"k-out-of-n":[31],"systems.":[32],"A":[33],"n":[34,43],"series":[36,54,191],"system":[37,112],"works":[38],"only":[39],"if":[40,127,147],"all":[41,60],"components":[44,62,88],"work.":[45],"While":[46],"studying":[47,109],"a":[52,110,189],"system,":[55],"mostly":[57],"assume":[58,149],"that":[59],"have":[63,129],"independent":[64],"Such":[66,93],"an":[67,94],"eases":[69],"mathematical":[70,153,168],"complexity":[71,169],"while":[72],"analyzing":[73],"data":[75],"hence":[77,98],"is":[78,160],"very":[79,90],"common.":[80],"But":[81],"reality,":[83],"lifetimes":[85],"are":[89],"much":[91],"interdependent.":[92],"leads":[99],"inaccurate":[101],"data.":[104],"multiple":[106],"situations":[107],"complex":[111],"with":[113],"many":[114],"components,":[115],"turn":[117],"assuming":[119,175],"keeping":[121],"some":[122,130,138],"room":[123],"for":[124,188],"error.":[125],"However,":[126],"knowledge":[131],"behaviour":[134],"errors":[136,183],"or":[137,165],"estimate":[139],"on":[140],"bound,":[143],"could":[145],"decide":[146],"prefer":[152],"simplicity":[154],"(if":[155],"know":[157],"within":[161],"our":[162],"allowed":[163],"limit),":[164],"keep":[166],"get":[171],"accurate":[172],"results":[173],"without":[174],"independence.":[176],"aim":[178],"find":[180],"relative":[182],"system.":[192]},"counts_by_year":[],"updated_date":"2026-09-30T09:27:27.532063","created_date":"2024-03-13T00:00:00"}