{"id":"https://openalex.org/W2040098549","doi":"https://doi.org/10.1088/0026-1394/49/3/382","title":"Pivotal methods in the propagation of distributions","display_name":"Pivotal methods in the propagation of distributions","publication_year":2012,"publication_date":"2012-04-25","ids":{"openalex":"https://openalex.org/W2040098549","doi":"https://doi.org/10.1088/0026-1394/49/3/382","mag":"2040098549"},"language":"en","primary_location":{"id":"doi:10.1088/0026-1394/49/3/382","doi":"https://doi.org/10.1088/0026-1394/49/3/382","is_oa":false,"landing_page_url":"https://doi.org/10.1088/0026-1394/49/3/382","pdf_url":null,"source":{"id":"https://openalex.org/S7291761","display_name":"Metrologia","issn_l":"0026-1394","issn":["0026-1394","1681-7575"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Metrologia","raw_type":"journal-article"},"volume":null,"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":null,"display_name":"C M Wang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I1321296531","display_name":"National Institute of Standards and Technology","ror":"https://ror.org/05xpvk416","country_code":"US","type":"government","lineage":["https://openalex.org/I1321296531","https://openalex.org/I1343035065"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C M Wang","raw_affiliation_strings":["Statistical Engineering Division, National Institute of Standards and Technology, Boulder, CO 80305 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Statistical Engineering Division, National Institute of Standards and Technology, Boulder, CO 80305 USA","institution_ids":["https://openalex.org/I1321296531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084746497","display_name":"Jan Hannig","orcid":"https://orcid.org/0000-0002-4164-0173","observed_orcids":["https://orcid.org/0000-0002-4164-0173"]},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jan Hannig","raw_affiliation_strings":["Department of Statistics and Operations Research; University of North Carolina; Chapel Hill NC 27599 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Research; University of North Carolina; Chapel Hill NC 27599 USA","institution_ids":["https://openalex.org/I114027177"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030054051","display_name":"Hari K Iyer","orcid":"https://orcid.org/0000-0001-7533-5540","observed_orcids":["https://orcid.org/0000-0001-7533-5540"]},"institutions":[{"id":"https://openalex.org/I1321296531","display_name":"National Institute of Standards and Technology","ror":"https://ror.org/05xpvk416","country_code":"US","type":"government","lineage":["https://openalex.org/I1321296531","https://openalex.org/I1343035065"]},{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hari K Iyer","raw_affiliation_strings":["Department of Statistics, Colorado State University, Fort Collins, CO 80523, USA","Statistical Engineering Division, National Institute of Standards and Technology, Boulder, CO 80305, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Colorado State University, Fort Collins, CO 80523, USA","institution_ids":["https://openalex.org/I92446798"]},{"raw_affiliation_string":"Statistical Engineering Division, National Institute of Standards and Technology, Boulder, CO 80305, USA","institution_ids":["https://openalex.org/I1321296531"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3325,"currency":"USD","value_usd":3325},"apc_paid":null,"fwci":1.4611,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.84209756,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"49","issue":"3","first_page":"382","last_page":"389"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11890","display_name":"Scientific Measurement and Uncertainty Evaluation","score":0.9951000213623047,"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"}},"topics":[{"id":"https://openalex.org/T11890","display_name":"Scientific Measurement and Uncertainty Evaluation","score":0.9951000213623047,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.00139999995008111,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.0010000000474974513,"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/pivotal-quantities","display_name":"pivotal quantities","score":0.734000027179718},{"id":"https://openalex.org/keywords/uncertainty-analysis","display_name":"uncertainty analysis","score":0.7279999852180481},{"id":"https://openalex.org/keywords/measurement-uncertainty","display_name":"measurement uncertainty","score":0.640999972820282},{"id":"https://openalex.org/keywords/monte-carlo-methods","display_name":"Monte Carlo methods","score":0.6290000081062317},{"id":"https://openalex.org/keywords/guide-to-the-expression-of-uncertainty-in-measurement","display_name":"Guide to the Expression of Uncertainty in Measurement","score":0.9359999895095825},{"id":"https://openalex.org/keywords/maximum-entropy-principle","display_name":"maximum entropy principle","score":0.7319999933242798},{"id":"https://openalex.org/keywords/bayesian-inference","display_name":"Bayesian inference","score":0.5450000166893005},{"id":"https://openalex.org/keywords/input-quantity","display_name":"input quantity","score":0.5350000262260437}],"concepts":[{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4672999382019043},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43743622303009033},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18246620893478394}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1088/0026-1394/49/3/382","doi":"https://doi.org/10.1088/0026-1394/49/3/382","is_oa":false,"landing_page_url":"https://doi.org/10.1088/0026-1394/49/3/382","pdf_url":null,"source":{"id":"https://openalex.org/S7291761","display_name":"Metrologia","issn_l":"0026-1394","issn":["0026-1394","1681-7575"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Metrologia","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332178","display_name":"National Institute of Standards and Technology","ror":"https://ror.org/05xpvk416"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W103303988","https://openalex.org/W1757639814","https://openalex.org/W1848706969","https://openalex.org/W1988060518","https://openalex.org/W2000291746","https://openalex.org/W2013151829","https://openalex.org/W2052542886","https://openalex.org/W2123407209","https://openalex.org/W2320340254","https://openalex.org/W2582743722","https://openalex.org/W2801840425","https://openalex.org/W3027720329","https://openalex.org/W4246673598","https://openalex.org/W4391197517"],"related_works":["https://openalex.org/W7151698331","https://openalex.org/W1969084335","https://openalex.org/W2098475155","https://openalex.org/W2053057614","https://openalex.org/W2021717376","https://openalex.org/W4381384756","https://openalex.org/W2045810824","https://openalex.org/W2061767150","https://openalex.org/W2050632252","https://openalex.org/W2069571728"],"abstract_inverted_index":{"We":[0,83],"propose":[1],"a":[2,6,18],"method":[3,21,41,69],"for":[4,36,64],"assigning":[5],"probability":[7],"distribution":[8,14],"to":[9,26,29,45,91],"an":[10,43,73],"input":[11],"quantity.":[12],"The":[13,39,68],"is":[15,70,80],"used":[16,60],"in":[17,23,34,61],"Monte":[19],"Carlo":[20],"described":[22],"Supplement":[24,62],"1":[25,63],"the":[27,30,50,65,93,96],"Guide":[28],"Expression":[31],"of":[32,52,95],"Uncertainty":[33],"Measurement":[35],"uncertainty":[37],"evaluation.":[38],"proposed":[40,97],"provides":[42],"alternative":[44],"other":[46],"methods,":[47],"such":[48],"as":[49],"principle":[51],"maximum":[53],"entropy":[54],"and":[55,79],"Bayesian":[56],"procedure":[57],"that":[58],"were":[59],"same":[66],"purpose.":[67],"based":[71],"on":[72],"exact":[74],"or":[75],"approximate":[76],"pivotal":[77],"quantity":[78],"easily":[81],"applied.":[82],"use":[84],"several":[85],"examples":[86],"from":[87],"commonly":[88],"known":[89],"models":[90],"illustrate":[92],"implementation":[94],"approach.":[98]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2016-06-24T00:00:00"}