{"id":"https://openalex.org/W2120797717","doi":"https://doi.org/10.1109/tit.1972.1054756","title":"Filtering and detection for doubly stochastic Poisson processes","display_name":"Filtering and detection for doubly stochastic Poisson processes","publication_year":1972,"publication_date":"1972-01-01","ids":{"openalex":"https://openalex.org/W2120797717","doi":"https://doi.org/10.1109/tit.1972.1054756","mag":"2120797717"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1972.1054756","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1972.1054756","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/A5111749958","display_name":"Donald L. Snyder","orcid":null},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]},{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"D. Snyder","raw_affiliation_strings":["Department of Electrical Engineering and Biomedical Computer Laboratory, University of Washington, Saint Louis, MO, USA","[Department of Electrical Engineering and Biomedical Computer Laboratory, University of Washington, Saint Louis, MO, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Biomedical Computer Laboratory, University of Washington, Saint Louis, MO, USA","institution_ids":["https://openalex.org/I201448701","https://openalex.org/I204465549"]},{"raw_affiliation_string":"[Department of Electrical Engineering and Biomedical Computer Laboratory, University of Washington, Saint Louis, MO, USA]","institution_ids":["https://openalex.org/I201448701"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111749958"],"corresponding_institution_ids":["https://openalex.org/I201448701","https://openalex.org/I204465549"],"apc_list":null,"apc_paid":null,"fwci":53.9675,"has_fulltext":false,"cited_by_count":180,"citation_normalized_percentile":{"value":0.99874469,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"18","issue":"1","first_page":"91","last_page":"102"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12153","display_name":"Advanced Optical Sensing Technologies","score":0.972000002861023,"subfield":{"id":"https://openalex.org/subfields/3105","display_name":"Instrumentation"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9488999843597412,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/mathematics","display_name":"Mathematics","score":0.732627272605896},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.5870729684829712},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5719858407974243},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.5662781000137329},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5630856156349182},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.4962802529335022},{"id":"https://openalex.org/keywords/compound-poisson-process","display_name":"Compound Poisson process","score":0.48003900051116943},{"id":"https://openalex.org/keywords/counting-process","display_name":"Counting process","score":0.428712397813797},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32672253251075745},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3169747591018677},{"id":"https://openalex.org/keywords/poisson-process","display_name":"Poisson process","score":0.1635633409023285}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.732627272605896},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.5870729684829712},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5719858407974243},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.5662781000137329},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5630856156349182},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4962802529335022},{"id":"https://openalex.org/C133338972","wikidata":"https://www.wikidata.org/wiki/Q2055750","display_name":"Compound Poisson process","level":4,"score":0.48003900051116943},{"id":"https://openalex.org/C2781104640","wikidata":"https://www.wikidata.org/wiki/Q11827313","display_name":"Counting process","level":2,"score":0.428712397813797},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32672253251075745},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3169747591018677},{"id":"https://openalex.org/C166144826","wikidata":"https://www.wikidata.org/wiki/Q1145117","display_name":"Poisson process","level":3,"score":0.1635633409023285}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1972.1054756","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1972.1054756","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W175071349","https://openalex.org/W275468540","https://openalex.org/W1489872560","https://openalex.org/W1536252645","https://openalex.org/W1668826802","https://openalex.org/W1944705852","https://openalex.org/W2025119780","https://openalex.org/W2053655750","https://openalex.org/W2063898096","https://openalex.org/W2068130498","https://openalex.org/W2079073804","https://openalex.org/W2103435373","https://openalex.org/W2167495527","https://openalex.org/W2321420208","https://openalex.org/W2751862591","https://openalex.org/W2799137445","https://openalex.org/W2905296953","https://openalex.org/W4255034261","https://openalex.org/W4300126076","https://openalex.org/W4301263540","https://openalex.org/W4301441647"],"related_works":["https://openalex.org/W2347893880","https://openalex.org/W2387184232","https://openalex.org/W3048954410","https://openalex.org/W3103633399","https://openalex.org/W2094670042","https://openalex.org/W2364068426","https://openalex.org/W133728297","https://openalex.org/W2981380482","https://openalex.org/W4231550220","https://openalex.org/W1535368732"],"abstract_inverted_index":{"Equations":[0],"are":[1,94,135],"derived":[2],"that":[3,17,67,147],"describe":[4],"the":[5,9,19,38,43,52,68,73,79,84,103,115,123,132,148],"time":[6],"evolution":[7],"of":[8,12,22,42,54,72,99,114,131,141],"posterior":[10],"statistics":[11],"a":[13,33,55,59,97,110],"general":[14],"Markov":[15,44,133],"process":[16,57,134],"modulates":[18],"intensity":[20,61,75],"function":[21,41],"an":[23],"observed":[24],"inhomogeneous":[25],"Poisson":[26,56],"counting":[27],"process.":[28,45],"The":[29],"basic":[30],"equation":[31,36],"is":[32,49,65,76],"stochastic":[34,60,74],"differential":[35],"for":[37,51,108,127],"conditional":[39],"characteristic":[40],"A":[46,137],"separation":[47],"theorem":[48],"established":[50],"detection":[53],"having":[58],"function.":[62],"Specifically,":[63],"it":[64,89],"shown":[66],"causal":[69],"minimum-mean-square-error":[70],"estimate":[71],"incorporated":[77],"in":[78,83],"optimum":[80],"Reiffen-Sherman":[81],"detector":[82],"same":[85],"way":[86],"as":[87],"if":[88],"were":[90],"known.":[91],"Specialized":[92],"results":[93],"obtained":[95],"when":[96],"set":[98],"random":[100],"variables":[101,116],"modulate":[102],"intensity.":[104],"These":[105],"include":[106],"equations":[107,120],"maximum":[109],"posteriori":[111],"probability":[112],"estimates":[113,130,145],"and":[117,143],"some":[118],"accuracy":[119],"based":[121],"on":[122],"Cram\u00e9r-Rao":[124],"inequality.":[125],"Procedures":[126],"approximating":[128],"exact":[129,142],"given.":[136],"comparison":[138],"by":[139],"simulation":[140],"approximate":[144],"indicates":[146],"approximations":[149],"suggested":[150],"can":[151],"work":[152],"well":[153],"even":[154],"under":[155],"low":[156],"count":[157],"rate":[158],"conditions.":[159]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":6}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}