{"id":"https://openalex.org/W4386953607","doi":"https://doi.org/10.1371/journal.pcbi.1011417","title":"Likelihood-ratio test statistic for the finite-sample case in nonlinear ordinary differential equation models","display_name":"Likelihood-ratio test statistic for the finite-sample case in nonlinear ordinary differential equation models","publication_year":2023,"publication_date":"2023-09-22","ids":{"openalex":"https://openalex.org/W4386953607","doi":"https://doi.org/10.1371/journal.pcbi.1011417","pmid":"https://pubmed.ncbi.nlm.nih.gov/37738254"},"language":"en","primary_location":{"id":"doi:10.1371/journal.pcbi.1011417","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1011417","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1011417&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1011417&type=printable","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056989853","display_name":"Christian T\u00f6nsing","orcid":"https://orcid.org/0000-0003-2822-5191"},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christian T\u00f6nsing","raw_affiliation_strings":["CIBSS Centre for Integrative Biological Signalling Studies, University of Freiburg, Germany","FDM Freiburg Center for Data Analysis and Modeling, University of Freiburg, Germany","Institute of Physics, University of Freiburg, Germany"],"raw_orcid":"https://orcid.org/0000-0003-2822-5191","affiliations":[{"raw_affiliation_string":"CIBSS Centre for Integrative Biological Signalling Studies, University of Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]},{"raw_affiliation_string":"FDM Freiburg Center for Data Analysis and Modeling, University of Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]},{"raw_affiliation_string":"Institute of Physics, University of Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049516248","display_name":"Bernhard Steiert","orcid":"https://orcid.org/0000-0002-1398-1624"},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bernhard Steiert","raw_affiliation_strings":["Institute of Physics, University of Freiburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Physics, University of Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052831097","display_name":"Jens Timmer","orcid":"https://orcid.org/0000-0003-4517-1383"},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jens Timmer","raw_affiliation_strings":["CIBSS Centre for Integrative Biological Signalling Studies, University of Freiburg, Germany","FDM Freiburg Center for Data Analysis and Modeling, University of Freiburg, Germany","Institute of Physics, University of Freiburg, Germany"],"raw_orcid":"https://orcid.org/0000-0003-4517-1383","affiliations":[{"raw_affiliation_string":"CIBSS Centre for Integrative Biological Signalling Studies, University of Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]},{"raw_affiliation_string":"FDM Freiburg Center for Data Analysis and Modeling, University of Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]},{"raw_affiliation_string":"Institute of Physics, University of Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076933919","display_name":"Clemens Kreutz","orcid":"https://orcid.org/0000-0002-8796-5766"},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]},{"id":"https://openalex.org/I4210099379","display_name":"Zimmer Biomet (Germany)","ror":"https://ror.org/016731f38","country_code":"DE","type":"company","lineage":["https://openalex.org/I4210099379","https://openalex.org/I4210115238"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Clemens Kreutz","raw_affiliation_strings":["CIBSS Centre for Integrative Biological Signalling Studies, University of Freiburg, Germany","FDM Freiburg Center for Data Analysis and Modeling, University of Freiburg, Germany","Faculty of Medicine and Medical Center, Institute of Medical Biometry and Statistics, University of Freiburg, Germany"],"raw_orcid":"https://orcid.org/0000-0002-8796-5766","affiliations":[{"raw_affiliation_string":"CIBSS Centre for Integrative Biological Signalling Studies, University of Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]},{"raw_affiliation_string":"FDM Freiburg Center for Data Analysis and Modeling, University of Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]},{"raw_affiliation_string":"Faculty of Medicine and Medical Center, Institute of Medical Biometry and Statistics, University of Freiburg, Germany","institution_ids":["https://openalex.org/I161046081","https://openalex.org/I4210099379"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5076933919"],"corresponding_institution_ids":["https://openalex.org/I161046081","https://openalex.org/I4210099379"],"apc_list":{"value":2655,"currency":"USD","value_usd":2655},"apc_paid":{"value":2655,"currency":"USD","value_usd":2655},"fwci":2.0343,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.88430265,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"19","issue":"9","first_page":"e1011417","last_page":"e1011417"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9872999787330627,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9872999787330627,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9860000014305115,"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.984000027179718,"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/likelihood-ratio-test","display_name":"Likelihood-ratio test","score":0.5891465544700623},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5854368209838867},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.5624992251396179},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.5607095956802368},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4946112334728241},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4814411997795105},{"id":"https://openalex.org/keywords/sample","display_name":"Sample (material)","score":0.4540655016899109},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.44015738368034363},{"id":"https://openalex.org/keywords/test-statistic","display_name":"Test statistic","score":0.429575651884079},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.30678945779800415},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.30036309361457825},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22258064150810242},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1595764458179474},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.07000118494033813}],"concepts":[{"id":"https://openalex.org/C9483764","wikidata":"https://www.wikidata.org/wiki/Q585740","display_name":"Likelihood-ratio test","level":2,"score":0.5891465544700623},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5854368209838867},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.5624992251396179},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5607095956802368},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4946112334728241},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4814411997795105},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.4540655016899109},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.44015738368034363},{"id":"https://openalex.org/C169857963","wikidata":"https://www.wikidata.org/wiki/Q1461038","display_name":"Test statistic","level":3,"score":0.429575651884079},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.30678945779800415},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.30036309361457825},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22258064150810242},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1595764458179474},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.07000118494033813},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016013","descriptor_name":"Likelihood Functions","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016013","descriptor_name":"Likelihood Functions","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016013","descriptor_name":"Likelihood Functions","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D035501","descriptor_name":"Uncertainty","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D035501","descriptor_name":"Uncertainty","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D035501","descriptor_name":"Uncertainty","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":5,"locations":[{"id":"doi:10.1371/journal.pcbi.1011417","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1011417","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1011417&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},{"id":"pmid:37738254","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/37738254","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLoS computational biology","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:10550180","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/10550180","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC10550180/pdf/pcbi.1011417.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"PLoS Comput Biol","raw_type":"Text"},{"id":"pmh:oai:RePEc:plo:pcbi00:1011417","is_oa":false,"landing_page_url":"https://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1011417","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:08f463f6c157403695c1b766989369de","is_oa":true,"landing_page_url":"https://doaj.org/article/08f463f6c157403695c1b766989369de","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"PLoS Computational Biology, Vol 19, Iss 9, p e1011417 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1371/journal.pcbi.1011417","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1011417","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1011417&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1459293804","display_name":null,"funder_award_id":"35/1134-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G1471022000","display_name":null,"funder_award_id":"35/1134-1 FUGG","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G4470772008","display_name":null,"funder_award_id":"EA:Sys [FKZ031L0080]","funder_id":"https://openalex.org/F4320321114","funder_display_name":"Bundesministerium f\u00fcr Bildung und Forschung"},{"id":"https://openalex.org/G4502800977","display_name":null,"funder_award_id":"Germany\u2019s Excellence Strategy - EXC-2189 - project ID: 390939984","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G4935269520","display_name":"EXC 2189: CIBSS  Centre for Integrative Biological Signalling Studies","funder_award_id":"390939984","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G5583297626","display_name":null,"funder_award_id":"INST 35/1134-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6800558654","display_name":null,"funder_award_id":"INST 35/1134-1 FUGG","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7942449511","display_name":null,"funder_award_id":"EXC-2189","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320321114","display_name":"Bundesministerium f\u00fcr Bildung und Forschung","ror":"https://ror.org/04pz7b180"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4386953607.pdf","grobid_xml":"https://content.openalex.org/works/W4386953607.grobid-xml"},"referenced_works_count":69,"referenced_works":["https://openalex.org/W44278768","https://openalex.org/W599938562","https://openalex.org/W632330365","https://openalex.org/W1597482516","https://openalex.org/W1655720208","https://openalex.org/W1966232869","https://openalex.org/W1966901658","https://openalex.org/W1967687158","https://openalex.org/W1972249602","https://openalex.org/W1977478463","https://openalex.org/W1979181404","https://openalex.org/W1983543065","https://openalex.org/W1996418705","https://openalex.org/W1999408263","https://openalex.org/W2012500654","https://openalex.org/W2016966551","https://openalex.org/W2019841176","https://openalex.org/W2026534446","https://openalex.org/W2030865415","https://openalex.org/W2043955494","https://openalex.org/W2053874495","https://openalex.org/W2059246518","https://openalex.org/W2060383267","https://openalex.org/W2075161553","https://openalex.org/W2102434872","https://openalex.org/W2103311280","https://openalex.org/W2107073512","https://openalex.org/W2117057692","https://openalex.org/W2117191960","https://openalex.org/W2131230954","https://openalex.org/W2134923619","https://openalex.org/W2143894094","https://openalex.org/W2151570219","https://openalex.org/W2154602420","https://openalex.org/W2157989234","https://openalex.org/W2159482231","https://openalex.org/W2163269686","https://openalex.org/W2166843037","https://openalex.org/W2167958905","https://openalex.org/W2168648059","https://openalex.org/W2179083909","https://openalex.org/W2181465509","https://openalex.org/W2313174853","https://openalex.org/W2342548755","https://openalex.org/W2483287115","https://openalex.org/W2483655230","https://openalex.org/W2512206536","https://openalex.org/W2515696031","https://openalex.org/W2524858857","https://openalex.org/W2528996153","https://openalex.org/W2546484804","https://openalex.org/W2766349561","https://openalex.org/W2774296853","https://openalex.org/W2793434021","https://openalex.org/W2796289029","https://openalex.org/W2884359685","https://openalex.org/W2948657630","https://openalex.org/W2950665010","https://openalex.org/W3098527589","https://openalex.org/W3098681139","https://openalex.org/W3102649939","https://openalex.org/W3106889297","https://openalex.org/W3116530612","https://openalex.org/W4205687564","https://openalex.org/W4234675279","https://openalex.org/W4235022487","https://openalex.org/W4255655703","https://openalex.org/W4301459447","https://openalex.org/W4388900512"],"related_works":["https://openalex.org/W3015822731","https://openalex.org/W2957280400","https://openalex.org/W2075332338","https://openalex.org/W1970221037","https://openalex.org/W4386776152","https://openalex.org/W1826709224","https://openalex.org/W2584466131","https://openalex.org/W2135903028","https://openalex.org/W2488034322","https://openalex.org/W2913739054"],"abstract_inverted_index":{"Likelihood":[0],"ratios":[1,30,138,182],"are":[2,148,161,170,187],"frequently":[3],"utilized":[4],"as":[5],"basis":[6],"for":[7,10,15,52,94,121,139,154,172],"statistical":[8,118,168],"tests,":[9],"model":[11],"selection":[12],"criteria":[13],"and":[14,18,167],"assessing":[16],"parameter":[17],"prediction":[19],"uncertainties,":[20],"e.g.":[21,100],"using":[22,117,150],"the":[23,37,41,64,76,113,122,155,164,180],"profile":[24],"likelihood.":[25],"However,":[26],"translating":[27],"these":[28],"likelihood":[29,137,181],"into":[31],"p-values":[32],"or":[33,104],"confidence":[34],"intervals":[35],"requires":[36,59],"exact":[38],"form":[39],"of":[40,47,73,78,97,116,179],"test":[42],"statistic's":[43],"distribution.":[44],"The":[45],"lack":[46],"knowledge":[48],"about":[49],"this":[50,89,134],"distribution":[51],"nonlinear":[53,144],"ordinary":[54],"differential":[55],"equation":[56],"(ODE)":[57],"models":[58,96,147],"an":[60],"approximation":[61,166],"which":[62],"assumes":[63],"so-called":[65],"asymptotic":[66,123,165],"setting,":[67],"i.e.":[68],"a":[69,151],"sufficiently":[70],"large":[71],"amount":[72,77],"data.":[74],"Since":[75],"data":[79,157],"from":[80,141],"quantitative":[81],"molecular":[82],"biology":[83],"is":[84,110],"typically":[85],"limited":[86],"in":[87,126,130,183,189],"applications,":[88],"finite-sample":[90,185],"case":[91],"regularly":[92],"occurs":[93],"mechanistic":[95],"dynamical":[98],"systems,":[99],"biochemical":[101],"reaction":[102],"networks":[103],"infectious":[105],"disease":[106],"models.":[107],"Thus,":[108],"it":[109],"unclear":[111],"whether":[112],"standard":[114],"approach":[115,153],"thresholds":[119,169],"derived":[120],"large-sample":[124],"setting":[125],"realistic":[127],"applications":[128,186],"results":[129],"valid":[131],"conclusions.":[132],"In":[133],"study,":[135],"empirical":[136],"parameters":[140],"19":[142],"published":[143],"ODE":[145],"benchmark":[146],"investigated":[149],"resampling":[152],"original":[156],"designs.":[158],"Their":[159],"distributions":[160],"compared":[162],"to":[163,191],"checked":[171],"conservativeness.":[173],"It":[174],"turns":[175],"out,":[176],"that":[177],"corrections":[178],"such":[184],"required":[188],"order":[190],"avoid":[192],"anti-conservative":[193],"results.":[194]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2025-10-10T00:00:00"}