{"id":"https://openalex.org/W2026536190","doi":"https://doi.org/10.1080/00207720500389683","title":"The estimation of the order of an ARMA process using third-order statistics","display_name":"The estimation of the order of an ARMA process using third-order statistics","publication_year":2005,"publication_date":"2005-12-15","ids":{"openalex":"https://openalex.org/W2026536190","doi":"https://doi.org/10.1080/00207720500389683","mag":"2026536190"},"language":"en","primary_location":{"id":"doi:10.1080/00207720500389683","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720500389683","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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/A5102892772","display_name":"Adnan Al\u2010Smadi","orcid":"https://orcid.org/0000-0003-3796-6805"},"institutions":[{"id":"https://openalex.org/I85507684","display_name":"Yarmouk University","ror":"https://ror.org/004mbaj56","country_code":"JO","type":"education","lineage":["https://openalex.org/I85507684"]}],"countries":["JO"],"is_corresponding":true,"raw_author_name":"Adnan Al-Smadi","raw_affiliation_strings":["\n Department of Electronics Engineering, Hijjawi Faculty for Engineering Technology, Yarmouk University, Irbid, Jordan","Department of Electronics Engineering, Hijjawi Faculty for Engineering Technology, Yarmouk University, Irbid, Jordan"],"affiliations":[{"raw_affiliation_string":"\n Department of Electronics Engineering, Hijjawi Faculty for Engineering Technology, Yarmouk University, Irbid, Jordan","institution_ids":["https://openalex.org/I85507684"]},{"raw_affiliation_string":"Department of Electronics Engineering, Hijjawi Faculty for Engineering Technology, Yarmouk University, Irbid, Jordan","institution_ids":["https://openalex.org/I85507684"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102892772"],"corresponding_institution_ids":["https://openalex.org/I85507684"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.15135344,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"36","issue":"15","first_page":"975","last_page":"982"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11236","display_name":"Control Systems and Identification","score":0.9993000030517578,"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/T10320","display_name":"Neural Networks and Applications","score":0.9983000159263611,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/autoregressive-model","display_name":"Autoregressive model","score":0.789456844329834},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.7687299251556396},{"id":"https://openalex.org/keywords/autoregressive\u2013moving-average-model","display_name":"Autoregressive\u2013moving-average model","score":0.7018572092056274},{"id":"https://openalex.org/keywords/unobservable","display_name":"Unobservable","score":0.6796788573265076},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5721989870071411},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5702030062675476},{"id":"https://openalex.org/keywords/higher-order-statistics","display_name":"Higher-order statistics","score":0.5148724317550659},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.49769285321235657},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4972236454486847},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4779529571533203},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4772056043148041},{"id":"https://openalex.org/keywords/moving-average","display_name":"Moving average","score":0.4750668704509735},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4607682228088379},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.45229992270469666},{"id":"https://openalex.org/keywords/order-statistic","display_name":"Order statistic","score":0.423796147108078},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.42293331027030945},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.41913220286369324},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3784869313240051},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3500470221042633},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.2524607181549072},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.24504709243774414},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.18872153759002686},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17690905928611755}],"concepts":[{"id":"https://openalex.org/C159877910","wikidata":"https://www.wikidata.org/wiki/Q2202883","display_name":"Autoregressive model","level":2,"score":0.789456844329834},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.7687299251556396},{"id":"https://openalex.org/C74883015","wikidata":"https://www.wikidata.org/wiki/Q290467","display_name":"Autoregressive\u2013moving-average model","level":3,"score":0.7018572092056274},{"id":"https://openalex.org/C2780695315","wikidata":"https://www.wikidata.org/wiki/Q3799040","display_name":"Unobservable","level":2,"score":0.6796788573265076},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5721989870071411},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5702030062675476},{"id":"https://openalex.org/C2780576426","wikidata":"https://www.wikidata.org/wiki/Q5757980","display_name":"Higher-order statistics","level":4,"score":0.5148724317550659},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.49769285321235657},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4972236454486847},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4779529571533203},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4772056043148041},{"id":"https://openalex.org/C175706884","wikidata":"https://www.wikidata.org/wiki/Q1130194","display_name":"Moving average","level":2,"score":0.4750668704509735},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4607682228088379},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.45229992270469666},{"id":"https://openalex.org/C44082924","wikidata":"https://www.wikidata.org/wiki/Q1767128","display_name":"Order statistic","level":2,"score":0.423796147108078},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.42293331027030945},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.41913220286369324},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3784869313240051},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3500470221042633},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.2524607181549072},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.24504709243774414},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.18872153759002686},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17690905928611755},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"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/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207720500389683","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720500389683","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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":15,"referenced_works":["https://openalex.org/W1587896874","https://openalex.org/W1597732836","https://openalex.org/W2017933454","https://openalex.org/W2040355181","https://openalex.org/W2057662236","https://openalex.org/W2061317273","https://openalex.org/W2075602631","https://openalex.org/W2106596127","https://openalex.org/W2114160172","https://openalex.org/W2117418380","https://openalex.org/W2123879611","https://openalex.org/W2150642605","https://openalex.org/W2168175751","https://openalex.org/W2430978105","https://openalex.org/W4243797702"],"related_works":["https://openalex.org/W2036994430","https://openalex.org/W2413726729","https://openalex.org/W3190289737","https://openalex.org/W1985666753","https://openalex.org/W2145466987","https://openalex.org/W1988154963","https://openalex.org/W2384744720","https://openalex.org/W2367697829","https://openalex.org/W2364898010","https://openalex.org/W2032185337"],"abstract_inverted_index":{"Abstract":[0],"The":[1,16,35,60,74,79,110],"paper":[2],"proposes":[3],"a":[4,65,85],"new":[5],"approach":[6,24],"to":[7,20,30,57,93,114,124],"find":[8],"an":[9],"autoregressive":[10],"moving":[11,103],"average":[12],"(ARMA)":[13],"model":[14],"order.":[15],"basic":[17],"idea":[18],"is":[19,55,62,77,82],"extend":[21],"the":[22,45,51,95,98,116,125,128],"previous":[23],"proposed":[25,99],"by":[26,64,84],"Liang":[27],"et":[28],"al.":[29],"third":[31],"order":[32],"statistics":[33,105],"(TOS).":[34],"algorithm":[36],"uses":[37],"data":[38],"matrices":[39],"rather":[40],"than":[41],"calculating":[42],"cumulants":[43],"of":[44,97,127],"observed":[46,80],"signal.":[47],"Hence,":[48],"we":[49],"avoid":[50],"non-stationary":[52],"effects,":[53],"which":[54],"due":[56],"finite-length":[58],"observations.":[59],"system":[61],"driven":[63],"zero-mean":[66,86],"independent":[67],"and":[68,121],"identically":[69],"distributed":[70],"(i.i.d.)":[71],"non-Gaussian":[72],"process.":[73],"input":[75],"signal":[76],"unobservable.":[78],"sequence":[81],"corrupted":[83],"additive":[87],"Gaussian":[88],"noise.":[89],"Examples":[90],"are":[91],"given":[92],"demonstrate":[94],"performance":[96],"algorithm.":[100],"Keywords:":[101],"Autoregressive":[102],"averageThird-order":[104],"(TOS)Model":[106],"orderSystem":[107],"identification":[108],"Acknowledgement":[109],"author":[111],"would":[112],"like":[113],"thank":[115],"anonymous":[117],"referees":[118],"whose":[119],"comments":[120],"suggestions":[122],"contributed":[123],"improvement":[126],"paper.":[129]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}