{"id":"https://openalex.org/W2004054007","doi":"https://doi.org/10.1080/17442500802088517","title":"Nearest-neighbour modelling of reciprocal chains","display_name":"Nearest-neighbour modelling of reciprocal chains","publication_year":2008,"publication_date":"2008-10-20","ids":{"openalex":"https://openalex.org/W2004054007","doi":"https://doi.org/10.1080/17442500802088517","mag":"2004054007"},"language":"en","primary_location":{"id":"doi:10.1080/17442500802088517","doi":"https://doi.org/10.1080/17442500802088517","is_oa":false,"landing_page_url":"https://doi.org/10.1080/17442500802088517","pdf_url":null,"source":{"id":"https://openalex.org/S152786945","display_name":"Stochastics","issn_l":"1744-2508","issn":["1744-2508","1744-2516"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-b","anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-3"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Stochastics","raw_type":"journal-article"},"volume":null,"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/A5042321295","display_name":"Francesco Carravetta","orcid":"https://orcid.org/0000-0002-2680-642X","observed_orcids":["https://orcid.org/0000-0002-2680-642X"]},"institutions":[{"id":"https://openalex.org/I4210155236","display_name":"National Research Council","ror":"https://ror.org/04zaypm56","country_code":"IT","type":"nonprofit","lineage":["https://openalex.org/I4210155236"]},{"id":"https://openalex.org/I4210162062","display_name":"Istituto di Analisi dei Sistemi ed Informatica Antonio Ruberti","ror":"https://ror.org/054ye0e45","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210155236","https://openalex.org/I4210162062"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Francesco Carravetta","raw_affiliation_strings":["a Istituto di Analisi dei Sistemi ed Informatica \u2018A. Ruberti\u2019, Consiglio Nazionale delle Ricerche , Viale Manzoni 30, Rome, 00185, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"a Istituto di Analisi dei Sistemi ed Informatica \u2018A. Ruberti\u2019, Consiglio Nazionale delle Ricerche , Viale Manzoni 30, Rome, 00185, Italy","institution_ids":["https://openalex.org/I4210155236","https://openalex.org/I4210162062"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5042321295"],"corresponding_institution_ids":["https://openalex.org/I4210155236","https://openalex.org/I4210162062"],"apc_list":null,"apc_paid":null,"fwci":2.4678,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.89293075,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"80","issue":"6","first_page":"525","last_page":"584"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.7734000086784363,"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/T11236","display_name":"Control Systems and Identification","score":0.7734000086784363,"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.0843999981880188,"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/T11911","display_name":"Spatial and Panel Data Analysis","score":0.014299999922513962,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/finite-state-processes","display_name":"finite-state processes","score":0.6230000257492065},{"id":"https://openalex.org/keywords/stochastic-realization","display_name":"stochastic realization","score":0.8460000157356262},{"id":"https://openalex.org/keywords/linearization","display_name":"linearization","score":0.6729999780654907},{"id":"https://openalex.org/keywords/non-gaussian-noise","display_name":"non-Gaussian noise","score":0.699999988079071},{"id":"https://openalex.org/keywords/smoothing","display_name":"smoothing","score":0.7910000085830688},{"id":"https://openalex.org/keywords/partially-observed-processes","display_name":"partially observed processes","score":0.7139999866485596},{"id":"https://openalex.org/keywords/dirichlet-boundary-conditions","display_name":"Dirichlet boundary conditions","score":0.9049999713897705},{"id":"https://openalex.org/keywords/cyclic-boundary-conditions","display_name":"cyclic boundary conditions","score":0.9950000047683716},{"id":"https://openalex.org/keywords/image-processing","display_name":"image processing","score":0.7099999785423279}],"concepts":[{"id":"https://openalex.org/C2777742833","wikidata":"https://www.wikidata.org/wiki/Q1964083","display_name":"Reciprocal","level":2,"score":0.7876293659210205},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.08196493983268738},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.06474262475967407}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/17442500802088517","doi":"https://doi.org/10.1080/17442500802088517","is_oa":false,"landing_page_url":"https://doi.org/10.1080/17442500802088517","pdf_url":null,"source":{"id":"https://openalex.org/S152786945","display_name":"Stochastics","issn_l":"1744-2508","issn":["1744-2508","1744-2516"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-b","anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-3"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Stochastics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W4447832","https://openalex.org/W218580582","https://openalex.org/W1562136571","https://openalex.org/W1973083622","https://openalex.org/W1993938411","https://openalex.org/W2000269745","https://openalex.org/W2008021243","https://openalex.org/W2009686203","https://openalex.org/W2010543673","https://openalex.org/W2025553527","https://openalex.org/W2037942041","https://openalex.org/W2057034079","https://openalex.org/W2063084473","https://openalex.org/W2063973166","https://openalex.org/W2064547027","https://openalex.org/W2083101801","https://openalex.org/W2088847363","https://openalex.org/W2099111195","https://openalex.org/W2107875745","https://openalex.org/W2145151704","https://openalex.org/W2150420489","https://openalex.org/W2155024125","https://openalex.org/W2157298716","https://openalex.org/W2160664904","https://openalex.org/W2165177477","https://openalex.org/W2169409209","https://openalex.org/W2258043381","https://openalex.org/W2299620045","https://openalex.org/W3000400773","https://openalex.org/W4241513305"],"related_works":["https://openalex.org/W2391753177","https://openalex.org/W2996284460","https://openalex.org/W4298337043","https://openalex.org/W1966306316","https://openalex.org/W4285058191","https://openalex.org/W2052414331","https://openalex.org/W3003660440","https://openalex.org/W2028403663","https://openalex.org/W2735124752","https://openalex.org/W4383174144"],"abstract_inverted_index":{"This":[0],"paper":[1],"focuses":[2],"on":[3,194],"the":[4,39,48,77,86,121,136,142,167,191,204],"class":[5,15],"of":[6,16,79,109,125,153,170,184],"finite-state,":[7],"discrete-index,":[8],"reciprocal":[9,65,128,172,192,223],"processes":[10,17,224],"(reciprocal":[11],"chains).":[12],"Such":[13,73],"a":[14,21,57,69,74,80,101,106,126,160,171,195,212,227,230],"seems":[18],"to":[19,47,91,100,116,120,135,149,208,229],"be":[20,92,117,209],"suitable":[22],"setup":[23],"in":[24,28,105,147,201,211,226],"many":[25],"applications":[26],"and,":[27],"particular,":[29],"it":[30,97],"appears":[31],"well-suited":[32],"for":[33,64,166],"image-processing.":[34],"While":[35],"addressing":[36],"this":[37,180,215],"issue,":[38],"aim":[40],"is":[41,62,89,98,145,158,164,206],"2-fold:":[42],"theoretic":[43,49],"and":[44,188,200],"practical.":[45],"As":[46,139],"purpose,":[50,181],"some":[51,217],"new":[52],"results":[53,220],"are":[54,198],"provided:":[55],"first,":[56],"general":[58],"stochastic":[59],"realization":[60],"result":[61],"provided":[63],"chains":[66],"endowed":[67],"with":[68,133],"known,":[70],"arbitrary,":[71],"distribution.":[72],"model":[75,88,104,113,124,205],"has":[76],"form":[78],"fixed-degree,":[81],"nearest-neighbour":[82,102],"polynomial":[83,87],"model.":[84],"Next,":[85],"shown":[90,207],"exactly":[93],"linearizable,":[94],"which":[95],"means":[96],"equivalent":[99],"linear":[103,123],"different":[107],"set":[108],"variables.":[110],"The":[111],"latter":[112],"turns":[114],"out":[115],"formally":[118],"identical":[119],"Levi\u2013Frezza\u2013Krener":[122],"Gaussian":[127,222],"process,":[129],"although":[130],"actually":[131],"non-linear":[132],"respect":[134],"chain's":[137],"values.":[138],"far":[140],"as":[141],"practical":[143],"purpose":[144],"concerned,":[146],"order":[148],"yield":[150],"an":[151,155],"example":[152],"application":[154],"estimation":[156],"issue":[157],"addressed:":[159],"suboptimal":[161],"(polynomial-optimal)":[162],"solution":[163],"derived":[165],"smoothing":[168],"problem":[169],"chain":[173,193],"partially":[174],"observed":[175],"under":[176],"non-Gaussian":[177],"noise.":[178],"To":[179],"two":[182],"kinds":[183],"boundary":[185],"conditions":[186],"(Dirichlet":[187],"Cyclic),":[189],"specifying":[190],"finite":[196],"interval,":[197],"considered,":[199],"both":[202],"cases":[203],"well-posed,":[210],"\u2018wide-sense\u2019.":[213],"Under":[214],"view,":[216],"well-known":[218],"representation":[219],"about":[221],"extend,":[225],"sense,":[228],"\u2018non-Gaussian\u2019":[231],"case.":[232]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-10T00:00:00"}