{"id":"https://openalex.org/W4386427273","doi":"https://doi.org/10.19139/soic-2310-5070-1738","title":"Confidence intervals from local minimums of objective function","display_name":"Confidence intervals from local minimums of objective function","publication_year":2023,"publication_date":"2023-07-08","ids":{"openalex":"https://openalex.org/W4386427273","doi":"https://doi.org/10.19139/soic-2310-5070-1738"},"language":"en","primary_location":{"id":"doi:10.19139/soic-2310-5070-1738","doi":"https://doi.org/10.19139/soic-2310-5070-1738","is_oa":true,"landing_page_url":"http://dx.doi.org/10.19139/soic-2310-5070-1738","pdf_url":"http://www.iapress.org/index.php/soic/article/download/1738/1011","source":{"id":"https://openalex.org/S2764412775","display_name":"Statistics Optimization & Information Computing","issn_l":"2310-5070","issn":["2310-5070","2311-004X"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310321236","host_organization_name":"International Academic Press","host_organization_lineage":["https://openalex.org/P4310321236"],"host_organization_lineage_names":["International Academic Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Statistics, Optimization & Information Computing","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"http://www.iapress.org/index.php/soic/article/download/1738/1011","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020922038","display_name":"Azzouz Dermoune","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]},{"id":"https://openalex.org/I4387154560","display_name":"Universit\u00e9 Lille 1","ror":"https://ror.org/040hwdc70","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970","https://openalex.org/I4387154560"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Azzouz Dermoune","raw_affiliation_strings":["Universit\u00e9 of Lille 1"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 of Lille 1","institution_ids":["https://openalex.org/I2279609970","https://openalex.org/I4387154560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035863243","display_name":"Daoud Ounaissi","orcid":"https://orcid.org/0000-0002-0576-5059","observed_orcids":["https://orcid.org/0000-0002-0576-5059"]},"institutions":[{"id":"https://openalex.org/I4210125423","display_name":"\u00c9cole sup\u00e9rieure des agricultures","ror":"https://ror.org/02vb4k656","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210125423"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Daoud Ounaissi","raw_affiliation_strings":["ESA, Angers"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ESA, Angers","institution_ids":["https://openalex.org/I4210125423"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024393119","display_name":"Yousri Slaoui","orcid":"https://orcid.org/0000-0001-5295-3311","observed_orcids":["https://orcid.org/0000-0001-5295-3311"]},"institutions":[{"id":"https://openalex.org/I32881790","display_name":"Universit\u00e9 de Poitiers","ror":"https://ror.org/04xhy8q59","country_code":"FR","type":"education","lineage":["https://openalex.org/I32881790"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Yousri Slaoui","raw_affiliation_strings":["universit\u00e9 de Poitiers"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"universit\u00e9 de Poitiers","institution_ids":["https://openalex.org/I32881790"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3101,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.53932872,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":"11","issue":"4","first_page":"798","last_page":"810"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.7817000150680542,"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":0.7817000150680542,"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/T13487","display_name":"Statistical and numerical algorithms","score":0.20509999990463257,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.0013000000035390258,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/weighted-median","display_name":"weighted median","score":0.8009999990463257},{"id":"https://openalex.org/keywords/least-absolute-deviation","display_name":"least absolute deviation","score":0.9929999709129333},{"id":"https://openalex.org/keywords/non-convex-objective-functions","display_name":"non-convex objective functions","score":0.8109999895095825},{"id":"https://openalex.org/keywords/local-minima","display_name":"local minima","score":0.9359999895095825},{"id":"https://openalex.org/keywords/confidence-intervals","display_name":"confidence intervals","score":0.9110000133514404},{"id":"https://openalex.org/keywords/nonlinear-regression","display_name":"nonlinear regression","score":0.949999988079071},{"id":"https://openalex.org/keywords/gaussian-model","display_name":"Gaussian model","score":0.8730000257492065},{"id":"https://openalex.org/keywords/parameter-estimation","display_name":"parameter estimation","score":0.6179999709129333}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7016088962554932},{"id":"https://openalex.org/C44249647","wikidata":"https://www.wikidata.org/wiki/Q208498","display_name":"Confidence interval","level":2,"score":0.6002286076545715},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5542341470718384},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5423108339309692},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5354993343353271},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5057697296142578},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.444868803024292},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.43804603815078735},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.42816779017448425},{"id":"https://openalex.org/C31441030","wikidata":"https://www.wikidata.org/wiki/Q4291882","display_name":"Least absolute deviations","level":3,"score":0.4112918972969055},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39399486780166626},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.36440905928611755},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3551414906978607},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22330111265182495},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20761561393737793},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.073693186044693},{"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.19139/soic-2310-5070-1738","doi":"https://doi.org/10.19139/soic-2310-5070-1738","is_oa":true,"landing_page_url":"http://dx.doi.org/10.19139/soic-2310-5070-1738","pdf_url":"http://www.iapress.org/index.php/soic/article/download/1738/1011","source":{"id":"https://openalex.org/S2764412775","display_name":"Statistics Optimization & Information Computing","issn_l":"2310-5070","issn":["2310-5070","2311-004X"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310321236","host_organization_name":"International Academic Press","host_organization_lineage":["https://openalex.org/P4310321236"],"host_organization_lineage_names":["International Academic Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Statistics, Optimization & Information Computing","raw_type":"journal-article"},{"id":"doi:10.21203/rs.3.rs-2357034/v1","doi":"https://doi.org/10.21203/rs.3.rs-2357034/v1","is_oa":true,"landing_page_url":"https://doi.org/10.21203/rs.3.rs-2357034/v1","pdf_url":"https://www.researchsquare.com/article/rs-2357034/latest.pdf","source":{"id":"https://openalex.org/S4306525896","display_name":"Research Square","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Research Square","raw_type":"posted-content"},{"id":"pmh:oai:HAL:hal-04449990v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.science/hal-04449990","pdf_url":"https://hal.science/hal-04449990/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Statistics, Optimization and Information Computing, 2023, 11, pp.798 - 810. ⟨10.19139/soic-2310-5070-1738⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:lilloa.univ-lille.fr:20.500.12210/121472","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.12210/121472","pdf_url":null,"source":{"id":"https://openalex.org/S4306402203","display_name":"LillOA (Universit\u00e9 de Lille (University Of Lille))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210123514","host_organization_name":"Centre d'\u00c9tudes en Civilisations, Langues et Lettres \u00c9trang\u00e8res","host_organization_lineage":["https://openalex.org/I4210123514"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.19139/soic-2310-5070-1738","doi":"https://doi.org/10.19139/soic-2310-5070-1738","is_oa":true,"landing_page_url":"http://dx.doi.org/10.19139/soic-2310-5070-1738","pdf_url":"http://www.iapress.org/index.php/soic/article/download/1738/1011","source":{"id":"https://openalex.org/S2764412775","display_name":"Statistics Optimization & Information Computing","issn_l":"2310-5070","issn":["2310-5070","2311-004X"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310321236","host_organization_name":"International Academic Press","host_organization_lineage":["https://openalex.org/P4310321236"],"host_organization_lineage_names":["International Academic Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Statistics, Optimization & Information Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1953887145","display_name":null,"funder_award_id":"2014\u20102020","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G6880236939","display_name":null,"funder_award_id":"FSE 2014-2020","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4386427273.pdf","grobid_xml":"https://content.openalex.org/works/W4386427273.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W2024991751","https://openalex.org/W2059398303","https://openalex.org/W2087134730","https://openalex.org/W2094670211","https://openalex.org/W2135848147","https://openalex.org/W2153408831","https://openalex.org/W2169369819","https://openalex.org/W2171074980","https://openalex.org/W2797993337","https://openalex.org/W2799556580","https://openalex.org/W3017628465","https://openalex.org/W3095239841","https://openalex.org/W3099242408"],"related_works":["https://openalex.org/W4387859945","https://openalex.org/W2093582838","https://openalex.org/W1495126017","https://openalex.org/W2031058459","https://openalex.org/W1981671260","https://openalex.org/W4405217924","https://openalex.org/W3036022257","https://openalex.org/W2061316761","https://openalex.org/W2277286240","https://openalex.org/W7101086606"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"weighted":[2,58],"median":[3,59],"plays":[4],"a":[5,16,50,65,112],"central":[6],"role":[7],"in":[8,125],"the":[9,33,47,57,71,85,88,99,119,135],"least":[10],"absolute":[11],"deviations":[12],"(LAD).":[13,20],"We":[14,80,130],"propose":[15,116],"nonlinear":[17],"regression":[18],"using":[19,127],"Our":[21],"objective":[22],"function":[23,89],"f":[24,52,94,104],"(a,":[25,53,90,95],"l,":[26,36,45,54,78,91,96,109],"s)":[27,55,68,74,92,97,102],"is":[28,39,56],"non-convex":[29],"with":[30,70],"respect":[31],"to":[32,117],"parameters":[34],"a,":[35],"s,":[37],"and":[38,82,98],"such":[40],"that":[41],"for":[42,134],"each":[43,139],"fixed":[44],"s":[46],"minimizer":[48],"of":[49,64,87,122],"\u2192":[51,93,103],"med(x(l,":[60],"s),":[61,106],"w(l,":[62,73,107],"s))":[63],"sequence":[66],"x(l,":[67],"endowed":[69],"weights":[72],"(all":[75],"depend":[76],"on":[77],"s).":[79,110],"analyse":[81],"compare":[83],"theoretically":[84],"minimizers":[86],"surface":[100],"(l,":[101],"(med(x(l,":[105],"s)),":[108],"As":[111],"numerical":[113],"application":[114],"we":[115],"fit":[118],"daily":[120,136],"infections":[121,137],"COVID":[123],"19":[124],"China":[126],"Gaussian":[128],"model.":[129],"derive":[131],"confident":[132],"interval":[133],"from":[138],"local":[140],"minimum.":[141]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-11-09T13:22:03.289127","created_date":"2023-09-05T00:00:00"}