{"id":"https://openalex.org/W2127822473","doi":"https://doi.org/10.1109/tit.1968.1054100","title":"On a class of processes arising in linear estimation theory","display_name":"On a class of processes arising in linear estimation theory","publication_year":1968,"publication_date":"1968-01-01","ids":{"openalex":"https://openalex.org/W2127822473","doi":"https://doi.org/10.1109/tit.1968.1054100","mag":"2127822473"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1968.1054100","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1968.1054100","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","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/A5053705979","display_name":"Ian F. Blake","orcid":"https://orcid.org/0000-0001-9660-1449"},"institutions":[{"id":"https://openalex.org/I1334627681","display_name":"Jet Propulsion Laboratory","ror":"https://ror.org/027k65916","country_code":"US","type":"facility","lineage":["https://openalex.org/I122411786","https://openalex.org/I1334627681","https://openalex.org/I4210124779"]},{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"I. Blake","raw_affiliation_strings":["Department of Electrical Engineering, Princeton University, Princeton, NJ, USA","Jet Propulsion Laboratory, Pasadena, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Jet Propulsion Laboratory, Pasadena, CA, USA","institution_ids":["https://openalex.org/I1334627681"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064941967","display_name":"John B. Thomas","orcid":"https://orcid.org/0000-0001-6608-2211"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Thomas","raw_affiliation_strings":["Department of Electrical Engineering, Princeton University, Princeton, NJ, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053705979"],"corresponding_institution_ids":["https://openalex.org/I1334627681","https://openalex.org/I20089843"],"apc_list":null,"apc_paid":null,"fwci":1.1432,"has_fulltext":false,"cited_by_count":79,"citation_normalized_percentile":{"value":0.78853914,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"14","issue":"1","first_page":"12","last_page":"16"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.9289000034332275,"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"}},"topics":[{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.9289000034332275,"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/mathematics","display_name":"Mathematics","score":0.7326874732971191},{"id":"https://openalex.org/keywords/univariate","display_name":"Univariate","score":0.5677662491798401},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5626186728477478},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5482485890388489},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.48503392934799194},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4444804787635803},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4401862919330597},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.4279646575450897},{"id":"https://openalex.org/keywords/normality","display_name":"Normality","score":0.4100340008735657},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3245340585708618},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3057301342487335},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1911829710006714},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17935431003570557},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11971601843833923},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08068376779556274}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7326874732971191},{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.5677662491798401},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5626186728477478},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5482485890388489},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.48503392934799194},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4444804787635803},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4401862919330597},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.4279646575450897},{"id":"https://openalex.org/C2776157432","wikidata":"https://www.wikidata.org/wiki/Q1375683","display_name":"Normality","level":2,"score":0.4100340008735657},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3245340585708618},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3057301342487335},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1911829710006714},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17935431003570557},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11971601843833923},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08068376779556274},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1968.1054100","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1968.1054100","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W591050163","https://openalex.org/W1568586753","https://openalex.org/W2023139462","https://openalex.org/W2099448014","https://openalex.org/W2126067751","https://openalex.org/W2148279974","https://openalex.org/W2563370810","https://openalex.org/W2799137445","https://openalex.org/W6617470227"],"related_works":["https://openalex.org/W2049578243","https://openalex.org/W1828158523","https://openalex.org/W2122079181","https://openalex.org/W2000145235","https://openalex.org/W1985848810","https://openalex.org/W2889939530","https://openalex.org/W2399195672","https://openalex.org/W3121881699","https://openalex.org/W2748838164","https://openalex.org/W2066015000"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"a":[3,37],"class":[4],"of":[5,36,48],"stochastic":[6],"processes,":[7],"called":[8],"{\\em":[9],"spherically":[10],"invariant},which":[11],"have":[12,22],"the":[13,49,63],"property":[14],"that":[15,28],"all":[16],"mean-square":[17],"estimation":[18,65],"problems":[19],"on":[20],"them":[21],"linear":[23,64],"solutions.":[24],"It":[25],"is":[26],"shown":[27],"their":[29],"multivariate":[30],"characteristic":[31],"functions":[32,35],"are":[33,43,58,67],"univariate":[34],"quadratic":[38],"form.":[39],"The":[40],"corresponding":[41],"densities":[42],"easily":[44],"found":[45],"by":[46],"means":[47],"Hankel":[50],"transform.":[51],"Relations":[52],"between":[53],"spherical":[54],"invariance":[55],"and":[56],"normality":[57],"discussed.":[59],"Properties":[60],"relating":[61],"to":[62],"problem":[66],"given.":[68]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
