{"id":"https://openalex.org/W2099756663","doi":"https://doi.org/10.1109/tit.1955.1055118","title":"On the response of a certain class of systems to random inputs","display_name":"On the response of a certain class of systems to random inputs","publication_year":1955,"publication_date":"1955-03-01","ids":{"openalex":"https://openalex.org/W2099756663","doi":"https://doi.org/10.1109/tit.1955.1055118","mag":"2099756663"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1955.1055118","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_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5044044307","display_name":"J. Heilfron","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"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"J. Heilfron","raw_affiliation_strings":["Ramo Wooldridge Corporation, Los Angeles, CA, USA","University of California, Los Angeles, CA, USA"],"affiliations":[{"raw_affiliation_string":"Ramo Wooldridge Corporation, Los Angeles, CA, USA","institution_ids":[]},{"raw_affiliation_string":"University of California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5044044307"],"corresponding_institution_ids":["https://openalex.org/I161318765"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":3,"citation_normalized_percentile":{"value":0.568069,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":77,"max":80},"biblio":{"volume":"1","issue":"1","first_page":"59","last_page":"61"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9934,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9934,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9927,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9771,"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/component","display_name":"Component (thermodynamics)","score":0.58775985},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.55156666}],"concepts":[{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.7088936},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.6458885},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.63723826},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.58775985},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.55156666},{"id":"https://openalex.org/C138405894","wikidata":"https://www.wikidata.org/wiki/Q3179949","display_name":"Multivariate random variable","level":3,"score":0.5083212},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.50359243},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4739908},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.4514975},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.43668842},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.42730898},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.41246176},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.40737554},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.31263044},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2653436},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19930983},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19449836},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09170878},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.088394016},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1955.1055118","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_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":7,"referenced_works":["https://openalex.org/W1967894401","https://openalex.org/W1994970668","https://openalex.org/W2048141673","https://openalex.org/W2055863460","https://openalex.org/W2081697030","https://openalex.org/W2116178873","https://openalex.org/W4255783720"],"related_works":["https://openalex.org/W4288910996","https://openalex.org/W4238695833","https://openalex.org/W4236621564","https://openalex.org/W3195391652","https://openalex.org/W2752241567","https://openalex.org/W2538141928","https://openalex.org/W2365690901","https://openalex.org/W2052718200","https://openalex.org/W170825502","https://openalex.org/W1498343739"],"abstract_inverted_index":{"This":[0,117],"paper":[1],"deals":[2],"with":[3],"the":[4,11,49,71,78,93,107,112,115,121,124,127,130,148,153],"connection":[5],"between":[6],"vector":[7,41,65,100],"Markoff":[8,42,66,101],"processes":[9],"and":[10,54,95],"response":[12],"of":[13,21,25,39,61,84,98,111,114,123,126,132],"a":[14,22,32,40,47,62],"lumped":[15],"constant":[16],"parameter":[17],"linear":[18],"system":[19],"composed":[20],"finite":[23],"number":[24],"elements.":[26],"It":[27],"was":[28],"known":[29],"that":[30,70,88,120],"if":[31,89],"Gaussian":[33,53,73,135],"process":[34,43],"which":[35],"is":[36,51,87,139],"one":[37,59,90,103],"component":[38,60],"passes":[44],"through":[45],"such":[46],"system,":[48],"result":[50,86],"also":[52,105],"may":[55,74],"be":[56,75,145],"considered":[57],"as":[58,141,143],"higher":[63],"dimensional":[64],"process.":[67],"We":[68],"show":[69],"term":[72],"excluded":[76],"in":[77],"above":[79,138],"statement.":[80],"The":[81],"practical":[82],"importance":[83],"this":[85,99],"can":[91,104],"determine":[92,106],"initial":[94],"transition":[96],"probabilities":[97],"process,":[102],"complete":[108],"statistical":[109],"properties":[110,125],"output":[113,128],"system.":[116],"further":[118],"implies":[119],"determination":[122],"for":[129,151,157],"class":[131],"not":[133,140],"necessarily":[134],"inputs":[136],"mentioned":[137],"difficult":[142],"might":[144],"expected":[146],"from":[147],"results":[149],"available":[150],"just":[152],"first":[154],"probability":[155],"distribution":[156],"non-Gaussian":[158],"inputs.":[159]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2099756663","counts_by_year":[],"updated_date":"2025-01-19T10:51:03.165761","created_date":"2016-06-24"}