{"id":"https://openalex.org/W4246213604","doi":"https://doi.org/10.1017/s0021900200013711","title":"Nonparametric Estimation for a Class of Piecewise-Deterministic Markov Processes","display_name":"Nonparametric Estimation for a Class of Piecewise-Deterministic Markov Processes","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W4246213604","doi":"https://doi.org/10.1017/s0021900200013711"},"language":"en","primary_location":{"id":"doi:10.1017/s0021900200013711","is_oa":false,"landing_page_url":"http://doi.org/10.1017/s0021900200013711","pdf_url":null,"source":{"id":"https://openalex.org/S160779208","display_name":"Journal of Applied Probability","issn_l":"0021-9002","issn":["0021-9002","1475-6072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Probability","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/A5101982693","display_name":"Takayuki Fujii","orcid":"https://orcid.org/0000-0002-6556-1226"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Takayuki Fujii","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101982693"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.31578376,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"50","issue":"04","first_page":"931","last_page":"942"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9973000288009644,"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"}},"topics":[{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9973000288009644,"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9962999820709229,"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":0.9952999949455261,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8498739004135132},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.7400473952293396},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6771467924118042},{"id":"https://openalex.org/keywords/nonparametric-statistics","display_name":"Nonparametric statistics","score":0.6681134700775146},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.555465579032898},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.48164597153663635},{"id":"https://openalex.org/keywords/density-estimation","display_name":"Density estimation","score":0.4764856994152069},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45556640625},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.36506688594818115},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15928786993026733}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8498739004135132},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7400473952293396},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6771467924118042},{"id":"https://openalex.org/C102366305","wikidata":"https://www.wikidata.org/wiki/Q1097688","display_name":"Nonparametric statistics","level":2,"score":0.6681134700775146},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.555465579032898},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.48164597153663635},{"id":"https://openalex.org/C189508267","wikidata":"https://www.wikidata.org/wiki/Q17088227","display_name":"Density estimation","level":3,"score":0.4764856994152069},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45556640625},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.36506688594818115},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15928786993026733},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0021900200013711","is_oa":false,"landing_page_url":"http://doi.org/10.1017/s0021900200013711","pdf_url":null,"source":{"id":"https://openalex.org/S160779208","display_name":"Journal of Applied Probability","issn_l":"0021-9002","issn":["0021-9002","1475-6072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Probability","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320338075","display_name":"Core Research for Evolutional Science and Technology","ror":"https://ror.org/00097mb19"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1493032750","https://openalex.org/W1978215738","https://openalex.org/W2014171838","https://openalex.org/W2019362732","https://openalex.org/W2062748626","https://openalex.org/W2090521765","https://openalex.org/W2114509411","https://openalex.org/W4254927789"],"related_works":["https://openalex.org/W4243114048","https://openalex.org/W4237896776","https://openalex.org/W4231665652","https://openalex.org/W1837630526","https://openalex.org/W2000242494","https://openalex.org/W2335589441","https://openalex.org/W4296826658","https://openalex.org/W2529605301","https://openalex.org/W1979697693","https://openalex.org/W2475084966"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,66,92],"study":[4],"nonparametric":[5],"estimation":[6,95],"problems":[7,96],"for":[8,26,52,81,97],"a":[9,21,42,50,60],"class":[10],"of":[11,23,45,59,63],"piecewise-deterministic":[12],"Markov":[13],"processes":[14],"(PDMPs).":[15],"Borovkov":[16],"and":[17,36,76,88,101],"Last":[18],"(2008)":[19],"proved":[20],"version":[22],"Rice's":[24],"formula":[25],"PDMPs,":[27],"which":[28,85],"explains":[29],"the":[30,33,37,54,68,73,78,82,98,102],"relation":[31],"between":[32],"stationary":[34,55,83],"density":[35,56],"level":[38,74],"crossing":[39],"intensity.":[40],"From":[41],"statistical":[43],"point":[44],"view,":[46],"their":[47],"result":[48],"suggests":[49],"methodology":[51],"estimating":[53],"from":[57],"observations":[58],"sample":[61],"path":[62],"PDMPs.":[64],"First,":[65],"introduce":[67],"local":[69],"time":[70],"related":[71],"to":[72],"crossings":[75],"construct":[77],"local-time":[79],"estimator":[80],"density,":[84],"is":[86],"unbiased":[87],"uniformly":[89],"consistent.":[90],"Secondly,":[91],"investigate":[93],"other":[94],"jump":[99,104],"intensity":[100],"conditional":[103],"size":[105],"distribution.":[106]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
