{"id":"https://openalex.org/W2139789442","doi":"https://doi.org/10.1109/tit.2002.1003842","title":"Large-scale typicality of Markov sample paths and consistency of MDL order estimators","display_name":"Large-scale typicality of Markov sample paths and consistency of MDL order estimators","publication_year":2002,"publication_date":"2002-06-01","ids":{"openalex":"https://openalex.org/W2139789442","doi":"https://doi.org/10.1109/tit.2002.1003842","mag":"2139789442"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2002.1003842","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2002.1003842","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/A5026417214","display_name":"Imre Csisz\u00e1r","orcid":"https://orcid.org/0000-0003-1936-2012"},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"funder","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"I. Csiszar","raw_affiliation_strings":["Hungarian Academy of Sciences, A.R\u00e9nyi Institute of Mathematics, Budapest, Hungary","A. Renyi Inst. of Math., Hungarian Acad. of Sci., Budapest, Hungary"],"affiliations":[{"raw_affiliation_string":"Hungarian Academy of Sciences, A.R\u00e9nyi Institute of Mathematics, Budapest, Hungary","institution_ids":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"raw_affiliation_string":"A. Renyi Inst. of Math., Hungarian Acad. of Sci., Budapest, Hungary","institution_ids":["https://openalex.org/I7597260"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5026417214"],"corresponding_institution_ids":["https://openalex.org/I127817813","https://openalex.org/I7597260"],"apc_list":null,"apc_paid":null,"fwci":4.5858,"has_fulltext":false,"cited_by_count":82,"citation_normalized_percentile":{"value":0.95191516,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"48","issue":"6","first_page":"1616","last_page":"1628"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9998000264167786,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9998000264167786,"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9907000064849854,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9843999743461609,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8237584233283997},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6971232295036316},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6670101881027222},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6293678283691406},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.6099183559417725},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.5097185969352722},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.46271321177482605},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.458048015832901},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.454496294260025},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45022720098495483},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.437322199344635},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.42489057779312134},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10335922241210938}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8237584233283997},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6971232295036316},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6670101881027222},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6293678283691406},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.6099183559417725},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.5097185969352722},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.46271321177482605},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.458048015832901},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.454496294260025},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45022720098495483},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.437322199344635},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.42489057779312134},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10335922241210938},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2002.1003842","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2002.1003842","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":13,"referenced_works":["https://openalex.org/W649943522","https://openalex.org/W1533169541","https://openalex.org/W1558734078","https://openalex.org/W1999120268","https://openalex.org/W2011485152","https://openalex.org/W2038804310","https://openalex.org/W2053807426","https://openalex.org/W2095963120","https://openalex.org/W2102098892","https://openalex.org/W2102333913","https://openalex.org/W2163294786","https://openalex.org/W2183235533","https://openalex.org/W3124716731"],"related_works":["https://openalex.org/W2074481494","https://openalex.org/W2808006995","https://openalex.org/W4250156143","https://openalex.org/W1983915440","https://openalex.org/W2379651310","https://openalex.org/W2113019827","https://openalex.org/W1541249122","https://openalex.org/W2413828414","https://openalex.org/W2367222340","https://openalex.org/W3095925971"],"abstract_inverted_index":{"For":[0],"Markov":[1,53],"chains":[2],"of":[3,20,23,45,48,78,99],"arbitrary":[4],"order,":[5],"with":[6,58,68,103,109],"finite":[7],"alphabet":[8],"A,":[9],"almost":[10],"sure":[11],"sense":[12],"limit":[13],"theorems":[14],"are":[15],"proved":[16],"on":[17,74],"relative":[18],"frequencies":[19],"k-blocks,":[21],"and":[22,87],"symbols":[24],"preceded":[25],"by":[26,85],"a":[27],"given":[28],"k-block,":[29],"when":[30],"k":[31],"is":[32,56],"permitted":[33],"to":[34],"grow":[35],"as":[36],"the":[37,75,79,97],"sample":[38],"size":[39],"n":[40,67,108],"grows.":[41],"As-an":[42],"application,":[43],"the-consistency":[44],"two":[46],"kinds":[47],"minimum":[49],"description":[50],"length":[51],"(MDL)":[52],"order":[54],"estimators":[55],"proved,":[57],"upper":[59],"bound":[60,104],"o(log":[61],"n),":[62],"respectively,":[63],"/spl":[64,69,105,111],"alpha/":[65,70,106,112],"log":[66,107],"<":[71],"1/log":[72],"|A|,":[73],"permissible":[76],"value":[77],"estimated":[80],"order.":[81],"It":[82],"was":[83],"shown":[84],"Csiszar":[86],"Shields":[88],"(see":[89],"Ann.":[90],"Statist.,":[91],"vol.28,":[92],"p.1601-1619,":[93],"2000)":[94],"that":[95],"in":[96],"absence":[98],"any":[100],"bound,":[101],"or":[102],"large":[110],"consistency":[113],"fails.":[114]},"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
