{"id":"https://openalex.org/W2963570174","doi":"https://doi.org/10.1109/isit.2014.6875001","title":"Information geometry approach to parameter estimation in Markov chains","display_name":"Information geometry approach to parameter estimation in Markov chains","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W2963570174","doi":"https://doi.org/10.1109/isit.2014.6875001","mag":"2963570174"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2014.6875001","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2014.6875001","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Symposium on Information Theory","raw_type":"proceedings-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/A5024634142","display_name":"Masahito Hayashi","orcid":"https://orcid.org/0000-0003-3104-1000"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Masahito Hayashi","raw_affiliation_strings":["Graduate School of Mathematics, National University of Singapore, Singapore, Japan"],"affiliations":[{"raw_affiliation_string":"Graduate School of Mathematics, National University of Singapore, Singapore, Japan","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045523488","display_name":"Shun Watanabe","orcid":"https://orcid.org/0000-0002-1121-8633"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shun Watanabe","raw_affiliation_strings":["Department of Information Science and Intelligent Systems, University of Maryland, College Park, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Information Science and Intelligent Systems, University of Maryland, College Park, Japan","institution_ids":["https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5024634142"],"corresponding_institution_ids":["https://openalex.org/I165932596"],"apc_list":null,"apc_paid":null,"fwci":2.1143,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.90399516,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"13","issue":null,"first_page":"1091","last_page":"1095"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9879000186920166,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9879000186920166,"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.964900016784668,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9544000029563904,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/exponential-family","display_name":"Exponential family","score":0.8328909873962402},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.6948167085647583},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6681915521621704},{"id":"https://openalex.org/keywords/stochastic-matrix","display_name":"Stochastic matrix","score":0.6458948254585266},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6075310707092285},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5284587740898132},{"id":"https://openalex.org/keywords/continuous-time-markov-chain","display_name":"Continuous-time Markov chain","score":0.4964776635169983},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4895366132259369},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.44211870431900024},{"id":"https://openalex.org/keywords/matrix-exponential","display_name":"Matrix exponential","score":0.4277552366256714},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3638905882835388},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3464724123477936},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.26235416531562805},{"id":"https://openalex.org/keywords/markov-property","display_name":"Markov property","score":0.23985880613327026},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21103087067604065},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16060838103294373},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07679998874664307}],"concepts":[{"id":"https://openalex.org/C55974624","wikidata":"https://www.wikidata.org/wiki/Q1188504","display_name":"Exponential family","level":2,"score":0.8328909873962402},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.6948167085647583},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6681915521621704},{"id":"https://openalex.org/C49555168","wikidata":"https://www.wikidata.org/wiki/Q176583","display_name":"Stochastic matrix","level":3,"score":0.6458948254585266},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6075310707092285},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5284587740898132},{"id":"https://openalex.org/C147080032","wikidata":"https://www.wikidata.org/wiki/Q176720","display_name":"Continuous-time Markov chain","level":5,"score":0.4964776635169983},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4895366132259369},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.44211870431900024},{"id":"https://openalex.org/C195906000","wikidata":"https://www.wikidata.org/wiki/Q1191722","display_name":"Matrix exponential","level":3,"score":0.4277552366256714},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3638905882835388},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3464724123477936},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.26235416531562805},{"id":"https://openalex.org/C189973286","wikidata":"https://www.wikidata.org/wiki/Q176695","display_name":"Markov property","level":4,"score":0.23985880613327026},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21103087067604065},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16060838103294373},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07679998874664307},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"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/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2014.6875001","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2014.6875001","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.754.3290","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.754.3290","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1401.3814.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320310077","display_name":"National Research Centre","ror":"https://ror.org/02n85j827"},{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320320912","display_name":"Ministry of Education, Culture, Sports, Science and Technology","ror":"https://ror.org/048rj2z13"},{"id":"https://openalex.org/F4320324089","display_name":"Centre for Quantum Technologies","ror":"https://ror.org/01mgdzc49"},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1573082642","https://openalex.org/W2000598720","https://openalex.org/W2033001102","https://openalex.org/W2033468335","https://openalex.org/W2040874491","https://openalex.org/W2041537137","https://openalex.org/W2055055260","https://openalex.org/W2058371490","https://openalex.org/W2082137378","https://openalex.org/W2095222434","https://openalex.org/W2122891730","https://openalex.org/W2125133553","https://openalex.org/W2320319456","https://openalex.org/W2510289119","https://openalex.org/W2899702797","https://openalex.org/W2963227637","https://openalex.org/W2963570174","https://openalex.org/W4301258660","https://openalex.org/W6613616514"],"related_works":["https://openalex.org/W4317660424","https://openalex.org/W4382762952","https://openalex.org/W2067382432","https://openalex.org/W2800044850","https://openalex.org/W2083129711","https://openalex.org/W1968612088","https://openalex.org/W2734729804","https://openalex.org/W2380835617","https://openalex.org/W2187622415","https://openalex.org/W2532937921"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,9,25,29,32,57],"parameter":[3],"estimation":[4],"of":[5,18,28,31,48,56],"Markov":[6],"chain":[7],"when":[8],"unknown":[10],"transition":[11,19,49,53],"matrix":[12,54],"belongs":[13],"to":[14],"an":[15,36,62],"exponential":[16,33,46,69],"family":[17,34,47],"matrices.":[20,50],"Then,":[21],"we":[22,41,60],"show":[23],"that":[24],"sample":[26],"mean":[27],"generator":[30],"is":[35],"asymptotically":[37,63],"efficient":[38,64],"estimator.":[39],"Further,":[40],"also":[42],"define":[43],"a":[44,52,67],"curved":[45,68],"Using":[51],"version":[55],"Pythagorean":[58],"theorem,":[59],"give":[61],"estimator":[65],"for":[66],"family.":[70]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}