{"id":"https://openalex.org/W2169532830","doi":"https://doi.org/10.1109/tit.1972.1054897","title":"Regular point processes and their detection","display_name":"Regular point processes and their detection","publication_year":1972,"publication_date":"1972-09-01","ids":{"openalex":"https://openalex.org/W2169532830","doi":"https://doi.org/10.1109/tit.1972.1054897","mag":"2169532830"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1972.1054897","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1972.1054897","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/A5074882369","display_name":"I. Rubin","orcid":null},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]},{"id":"https://openalex.org/I2803209242","display_name":"University of California System","ror":"https://ror.org/00pjdza24","country_code":"US","type":"education","lineage":["https://openalex.org/I2803209242"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"I. Rubin","raw_affiliation_strings":["Department of System Science, School of Engineering and Applied Science, University of California, Los Angeles, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of System Science, School of Engineering and Applied Science, University of California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765","https://openalex.org/I2803209242"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074882369"],"corresponding_institution_ids":["https://openalex.org/I161318765","https://openalex.org/I2803209242"],"apc_list":null,"apc_paid":null,"fwci":7.4591,"has_fulltext":false,"cited_by_count":133,"citation_normalized_percentile":{"value":0.97746331,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"18","issue":"5","first_page":"547","last_page":"557"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12085","display_name":"Collagen: Extraction and Characterization","score":0.7483000159263611,"subfield":{"id":"https://openalex.org/subfields/2502","display_name":"Biomaterials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12085","display_name":"Collagen: Extraction and Characterization","score":0.7483000159263611,"subfield":{"id":"https://openalex.org/subfields/2502","display_name":"Biomaterials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.7389000058174133,"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"}},{"id":"https://openalex.org/T13493","display_name":"Optical and Acousto-Optic Technologies","score":0.7275000214576721,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7104998230934143},{"id":"https://openalex.org/keywords/superposition-principle","display_name":"Superposition principle","score":0.603639543056488},{"id":"https://openalex.org/keywords/intensity","display_name":"Intensity (physics)","score":0.5891973376274109},{"id":"https://openalex.org/keywords/point-process","display_name":"Point process","score":0.5861133933067322},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5156363248825073},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5115543007850647},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.5072516798973083},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43028318881988525},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3962595760822296},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3410985767841339},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33293578028678894},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28622809052467346},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20249879360198975},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1284254789352417},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11061158776283264},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10244759917259216},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10057821869850159}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7104998230934143},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.603639543056488},{"id":"https://openalex.org/C93038891","wikidata":"https://www.wikidata.org/wiki/Q1061524","display_name":"Intensity (physics)","level":2,"score":0.5891973376274109},{"id":"https://openalex.org/C88871306","wikidata":"https://www.wikidata.org/wiki/Q7208287","display_name":"Point process","level":2,"score":0.5861133933067322},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5156363248825073},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5115543007850647},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.5072516798973083},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43028318881988525},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3962595760822296},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3410985767841339},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33293578028678894},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28622809052467346},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20249879360198975},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1284254789352417},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11061158776283264},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10244759917259216},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10057821869850159}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1972.1054897","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1972.1054897","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":17,"referenced_works":["https://openalex.org/W1501652345","https://openalex.org/W1549258098","https://openalex.org/W1564017276","https://openalex.org/W1980269662","https://openalex.org/W1981242829","https://openalex.org/W2005711636","https://openalex.org/W2103435373","https://openalex.org/W2120797717","https://openalex.org/W2168991218","https://openalex.org/W2623408274","https://openalex.org/W2751862591","https://openalex.org/W2799137445","https://openalex.org/W2799379915","https://openalex.org/W2904350042","https://openalex.org/W4300126076","https://openalex.org/W4301441647","https://openalex.org/W6629899356"],"related_works":["https://openalex.org/W4308749380","https://openalex.org/W2372481764","https://openalex.org/W2610947892","https://openalex.org/W1977264433","https://openalex.org/W3208596357","https://openalex.org/W4387389613","https://openalex.org/W1586180564","https://openalex.org/W2540109848","https://openalex.org/W1973807587","https://openalex.org/W2119404122"],"abstract_inverted_index":{"A":[0,114],"class":[1],"of":[2,13,23,36,77,84,104,108,121,139,152],"point":[3,21,29],"processes":[4,12,22,30,38],"that":[5],"possess":[6],"intensity":[7,54,66,80,95,112],"functions":[8,55,67],"are":[9,26,46,51,56,60,68,129,141],"studied.":[10],"The":[11,82],"this":[14],"class,":[15],"which":[16,50],"seem":[17],"to":[18,62,90],"include":[19],"most":[20],"practical":[24],"interest,":[25],"called":[27],"regular":[28],"(RPP's).":[31],"Expressions":[32],"for":[33,41,118,150],"the":[34,71,78,105,109,119,136,146,153],"evolution":[35],"these":[37],"and":[39],"especially":[40],"their":[42],"joint":[43],"occurrence":[44],"statistics":[45],"derived.":[47,161],"Compound":[48],"RPP's,":[49],"RPP's":[52,64,87,123],"whose":[53,65,94],"themselves":[57],"stochastic":[58],"processes,":[59],"shown":[61,89],"be":[63],"given":[69,79,97,111],"as":[70,98],"causal":[72,100],"minimum":[73],"mean-squared-error":[74],"(MMSE)":[75],"estimates":[76],"functions.":[81,113],"superposition":[83],"two":[85,110],"independent":[86],"is":[88,96,124,160],"yield":[91],"an":[92,144],"RPP":[93],"a":[99],"least":[101],"squares":[102],"estimate":[103],"appropriate":[106],"combination":[107],"general":[115],"likelihood-ratio":[116],"formula":[117],"detection":[120,127,148],"compound":[122],"obtained.":[125],"Singular":[126],"cases":[128],"characterized.":[130],"Detection":[131],"procedures":[132],"thai":[133],"use":[134],"only":[135],"total":[137],"number":[138],"counts":[140],"discussed.":[142],"As":[143],"example,":[145],"optimal":[147],"scheme":[149],"signals":[151],"random-telegraph":[154],"type":[155],"with":[156],"unknown":[157],"transition":[158],"intensities":[159]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
