{"id":"https://openalex.org/W2000754808","doi":"https://doi.org/10.1109/tit.1979.1055994","title":"A further note on backwards Markovian models (Corresp.)","display_name":"A further note on backwards Markovian models (Corresp.)","publication_year":1979,"publication_date":"1979-01-01","ids":{"openalex":"https://openalex.org/W2000754808","doi":"https://doi.org/10.1109/tit.1979.1055994","mag":"2000754808"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1979.1055994","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1979.1055994","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/A5080571958","display_name":"George C. Verghese","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G. Verghese","raw_affiliation_strings":["Department of Electrical Engineering, University of Stanford, Stanford, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Stanford, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014088470","display_name":"T. Kailath","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"T. Kailath","raw_affiliation_strings":["Information Systems Laboratory Department of Electrical Engineering, University of Stanford, Stanford, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Information Systems Laboratory Department of Electrical Engineering, University of Stanford, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.6594,"has_fulltext":false,"cited_by_count":72,"citation_normalized_percentile":{"value":0.98493921,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"25","issue":"1","first_page":"121","last_page":"124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.7893000245094299,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T10876","display_name":"Fault Detection and Control Systems","score":0.7893000245094299,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T10780","display_name":"Reliability and Maintenance Optimization","score":0.7638000249862671,"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/T11236","display_name":"Control Systems and Identification","score":0.7548999786376953,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/uncorrelated","display_name":"Uncorrelated","score":0.7987748384475708},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.7131897807121277},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.7095661759376526},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5923815369606018},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5310096144676208},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.5037431120872498},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.47343114018440247},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.44916635751724243},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.43449339270591736},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30979400873184204},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30712032318115234},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16859504580497742},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15878918766975403},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07824847102165222}],"concepts":[{"id":"https://openalex.org/C169345407","wikidata":"https://www.wikidata.org/wiki/Q8216221","display_name":"Uncorrelated","level":2,"score":0.7987748384475708},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.7131897807121277},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.7095661759376526},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5923815369606018},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5310096144676208},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.5037431120872498},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.47343114018440247},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.44916635751724243},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.43449339270591736},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30979400873184204},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30712032318115234},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16859504580497742},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15878918766975403},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07824847102165222},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1979.1055994","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1979.1055994","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":[{"id":"https://metadata.un.org/sdg/11","score":0.5899999737739563,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W2024342747","https://openalex.org/W2060871494","https://openalex.org/W2088252355","https://openalex.org/W2095337693","https://openalex.org/W2154136811","https://openalex.org/W2157562551","https://openalex.org/W2767341317","https://openalex.org/W4245823334"],"related_works":["https://openalex.org/W5938556","https://openalex.org/W2000754808","https://openalex.org/W1993731165","https://openalex.org/W2057373567","https://openalex.org/W2143428667","https://openalex.org/W2095860056","https://openalex.org/W3119323248","https://openalex.org/W2742871814","https://openalex.org/W1599711819","https://openalex.org/W2802778578"],"abstract_inverted_index":{"Given":[0],"a":[1,7,12,33,39,46,50,91],"wide-sense":[2],"forwards":[3,96],"Markovian":[4,37],"model,":[5],"namely":[6],"state-space":[8],"system":[9,40],"driven":[10,41],"by":[11,49],"white-noise":[13,51],"process":[14,52],"that":[15,53,61,86],"is":[16,54,84],"uncorrelated":[17,55],"with":[18,56],"the":[19,24,62,67,76,95],"random":[20],"initial":[21],"state":[22,48,69],"of":[23,66,75,94],"system,":[25],"several":[26],"papers":[27],"have":[28],"shown":[29],"how":[30,90],"to":[31],"obtain":[32],"corresponding":[34,77],"{\\sl":[35],"backwards}":[36],"model:":[38],"backwards":[42],"in":[43,88],"time":[44],"from":[45],"'terminal'":[47],"this":[57],"state,":[58],"and":[59,70],"such":[60],"joint":[63],"second-order":[64],"statistics":[65],"backwards-model":[68],"output":[71],"processes":[72],"equal":[73],"those":[74],"forwards-model":[78],"processes.":[79],"A":[80],"very":[81],"direct":[82],"derivation":[83],"presented":[85],"shows":[87],"effect":[89],"simple":[92],"rearrangement":[93]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
