{"id":"https://openalex.org/W1973115274","doi":"https://doi.org/10.1093/biomet/60.1.65","title":"Linear Regression with Randomly Dispersed Parameters","display_name":"Linear Regression with Randomly Dispersed Parameters","publication_year":1973,"publication_date":"1973-04-01","ids":{"openalex":"https://openalex.org/W1973115274","doi":"https://doi.org/10.1093/biomet/60.1.65","mag":"1973115274"},"language":"en","primary_location":{"id":"doi:10.1093/biomet/60.1.65","doi":"https://doi.org/10.1093/biomet/60.1.65","is_oa":false,"landing_page_url":"https://doi.org/10.1093/biomet/60.1.65","pdf_url":null,"source":{"id":"https://openalex.org/S172180718","display_name":"Biometrika","issn_l":"0006-3444","issn":["0006-3444","1464-3510"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","jufo-3","ki-jl-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biometrika","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":"https://openalex.org/A5016456156","display_name":"Barr Rosenberg","orcid":"https://orcid.org/0009-0001-3584-3134","observed_orcids":["https://orcid.org/0009-0001-3584-3134"]},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Barr Rosenberg","raw_affiliation_strings":["University of California Berkeley","University of California, Berkeley"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California Berkeley","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5016456156"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":{"value":2724,"currency":"GBP","value_usd":3592},"apc_paid":null,"fwci":2.4575,"has_fulltext":false,"cited_by_count":86,"citation_normalized_percentile":{"value":0.88244369,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"60","issue":"1","first_page":"65","last_page":"65"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.7788000106811523,"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"}},"topics":[{"id":"https://openalex.org/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.7788000106811523,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.11079999804496765,"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/T13487","display_name":"Statistical and numerical algorithms","score":0.022299999371170998,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/linear-regression","display_name":"linear regression","score":0.8600000143051147},{"id":"https://openalex.org/keywords/empirical-bayes","display_name":"empirical Bayes","score":0.8180000185966492},{"id":"https://openalex.org/keywords/maximum-likelihood-estimation","display_name":"maximum likelihood estimation","score":0.8889999985694885},{"id":"https://openalex.org/keywords/parameter-dispersion","display_name":"parameter dispersion","score":0.41999998688697815}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8668563365936279},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7445380687713623},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.7177452445030212},{"id":"https://openalex.org/C177562468","wikidata":"https://www.wikidata.org/wiki/Q182893","display_name":"Dispersion (optics)","level":2,"score":0.5358335375785828},{"id":"https://openalex.org/C48921125","wikidata":"https://www.wikidata.org/wiki/Q10861030","display_name":"Linear regression","level":2,"score":0.5351997017860413},{"id":"https://openalex.org/C64946054","wikidata":"https://www.wikidata.org/wiki/Q4874476","display_name":"Bayesian multivariate linear regression","level":3,"score":0.5307714343070984},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.5136186480522156},{"id":"https://openalex.org/C143791395","wikidata":"https://www.wikidata.org/wiki/Q475208","display_name":"M-estimator","level":3,"score":0.46092909574508667},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.45135438442230225},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.4148534834384918},{"id":"https://openalex.org/C177384507","wikidata":"https://www.wikidata.org/wiki/Q1149000","display_name":"Multivariate normal distribution","level":3,"score":0.4115500748157501},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/biomet/60.1.65","doi":"https://doi.org/10.1093/biomet/60.1.65","is_oa":false,"landing_page_url":"https://doi.org/10.1093/biomet/60.1.65","pdf_url":null,"source":{"id":"https://openalex.org/S172180718","display_name":"Biometrika","issn_l":"0006-3444","issn":["0006-3444","1464-3510"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","jufo-3","ki-jl-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biometrika","raw_type":"journal-article"},{"id":"doi:10.2307/2334906","doi":"https://doi.org/10.2307/2334906","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2334906","pdf_url":null,"source":{"id":"https://openalex.org/S172180718","display_name":"Biometrika","issn_l":"0006-3444","issn":["0006-3444","1464-3510"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","jufo-3","ki-jl-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biometrika","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1975650452","https://openalex.org/W1996957126","https://openalex.org/W2089454283","https://openalex.org/W2403035479","https://openalex.org/W2467077495","https://openalex.org/W2903942916"],"related_works":["https://openalex.org/W2189373804","https://openalex.org/W2271631044","https://openalex.org/W2082472634","https://openalex.org/W2065439233","https://openalex.org/W4320003038","https://openalex.org/W2351112394","https://openalex.org/W4255463354","https://openalex.org/W1653492112","https://openalex.org/W2220190985","https://openalex.org/W2346846619"],"abstract_inverted_index":{"Consider":[0],"a":[1,18],"collection":[2],"of":[3,35,40,44,56,63],"individual":[4,11,58],"linear":[5],"regression":[6],"models,":[7],"in":[8,68],"which":[9],"each":[10],"parameter":[12,59,73],"vector":[13],"is":[14,24,75],"independently":[15],"drawn":[16],"from":[17],"common":[19],"multivariate":[20],"normal":[21],"distribution":[22],"and":[23,38,43],"fixed":[25],"over":[26],"successive":[27],"observations":[28],"on":[29],"that":[30],"individual.":[31],"Maximum":[32],"likelihood":[33],"estimators":[34,51,55,65],"the":[36,41,45,57,64,69,72],"mean":[37],"dispersion":[39,74],"parameters":[42],"disturbance":[46],"variance":[47],"are":[48,66],"derived.":[49],"These":[50],"yield":[52],"empirical":[53],"Bayes":[54],"veotors.":[60],"The":[61],"properties":[62],"exhibited":[67],"case":[70],"where":[71],"known.":[76]},"counts_by_year":[{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":7}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-10T00:00:00"}
