{"id":"https://openalex.org/W4387702512","doi":"https://doi.org/10.3390/axioms12100976","title":"Modeling Environmental Pollution Using Varying-Coefficients Quantile Regression Models under Log-Symmetric Distributions","display_name":"Modeling Environmental Pollution Using Varying-Coefficients Quantile Regression Models under Log-Symmetric Distributions","publication_year":2023,"publication_date":"2023-10-17","ids":{"openalex":"https://openalex.org/W4387702512","doi":"https://doi.org/10.3390/axioms12100976"},"language":"en","primary_location":{"id":"doi:10.3390/axioms12100976","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12100976","pdf_url":"https://www.mdpi.com/2075-1680/12/10/976/pdf?version=1697534918","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/12/10/976/pdf?version=1697534918","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101491549","display_name":"Luis S\u00e1nchez","orcid":"https://orcid.org/0000-0001-9892-425X"},"institutions":[{"id":"https://openalex.org/I16465266","display_name":"Austral University of Chile","ror":"https://ror.org/029ycp228","country_code":"CL","type":"education","lineage":["https://openalex.org/I16465266"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Luis S\u00e1nchez","raw_affiliation_strings":["Institute of Statistics, Universidad Austral de Chile, Valdivia 5110234, Chile"],"raw_orcid":"https://orcid.org/0000-0001-9892-425X","affiliations":[{"raw_affiliation_string":"Institute of Statistics, Universidad Austral de Chile, Valdivia 5110234, Chile","institution_ids":["https://openalex.org/I16465266"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088716393","display_name":"Germ\u00e1n Ibacache-Pulgar","orcid":null},"institutions":[{"id":"https://openalex.org/I79274474","display_name":"University of Valpara\u00edso","ror":"https://ror.org/00h9jrb69","country_code":"CL","type":"education","lineage":["https://openalex.org/I79274474"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Germ\u00e1n Ibacache-Pulgar","raw_affiliation_strings":["Centro Interdisciplinario de Estudios Atmosf\u00e9ricos y Astroestad\u00edstica, Universidad de Valpara\u00edso, Valpara\u00edso 2360102, Chile","Institute of Statistics, Universidad de Valpara\u00edso, Valpara\u00edso 2360102, Chile"],"raw_orcid":"https://orcid.org/0000-0002-4021-7699","affiliations":[{"raw_affiliation_string":"Centro Interdisciplinario de Estudios Atmosf\u00e9ricos y Astroestad\u00edstica, Universidad de Valpara\u00edso, Valpara\u00edso 2360102, Chile","institution_ids":["https://openalex.org/I79274474"]},{"raw_affiliation_string":"Institute of Statistics, Universidad de Valpara\u00edso, Valpara\u00edso 2360102, Chile","institution_ids":["https://openalex.org/I79274474"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068491224","display_name":"Carolina Marchant","orcid":"https://orcid.org/0000-0003-1832-4444"},"institutions":[{"id":"https://openalex.org/I2799535320","display_name":"Catholic University of the Maule","ror":"https://ror.org/04vdpck27","country_code":"CL","type":"education","lineage":["https://openalex.org/I2799535320"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"Carolina Marchant","raw_affiliation_strings":["Faculty of Basic Sciences, Universidad Cat\u00f3lica del Maule, Talca 3480112, Chile"],"raw_orcid":"https://orcid.org/0000-0003-1832-4444","affiliations":[{"raw_affiliation_string":"Faculty of Basic Sciences, Universidad Cat\u00f3lica del Maule, Talca 3480112, Chile","institution_ids":["https://openalex.org/I2799535320"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019888277","display_name":"Marco Riquelme","orcid":null},"institutions":[{"id":"https://openalex.org/I79274474","display_name":"University of Valpara\u00edso","ror":"https://ror.org/00h9jrb69","country_code":"CL","type":"education","lineage":["https://openalex.org/I79274474"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Marco Riquelme","raw_affiliation_strings":["Institute of Statistics, Universidad de Valpara\u00edso, Valpara\u00edso 2360102, Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Statistics, Universidad de Valpara\u00edso, Valpara\u00edso 2360102, Chile","institution_ids":["https://openalex.org/I79274474"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5068491224"],"corresponding_institution_ids":["https://openalex.org/I2799535320"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.2629,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.81742373,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"12","issue":"10","first_page":"976","last_page":"976"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9927999973297119,"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":0.9927999973297119,"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":0.9911999702453613,"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9908999800682068,"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/quantile","display_name":"Quantile","score":0.7634857892990112},{"id":"https://openalex.org/keywords/quantile-regression","display_name":"Quantile regression","score":0.6576635837554932},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.6343462467193604},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5779050588607788},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.5292539000511169},{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.5133585333824158},{"id":"https://openalex.org/keywords/regression-analysis","display_name":"Regression analysis","score":0.4882950782775879},{"id":"https://openalex.org/keywords/conditional-probability-distribution","display_name":"Conditional probability distribution","score":0.4547116756439209},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4453912377357483},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.43225014209747314},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.10824832320213318}],"concepts":[{"id":"https://openalex.org/C118671147","wikidata":"https://www.wikidata.org/wiki/Q578714","display_name":"Quantile","level":2,"score":0.7634857892990112},{"id":"https://openalex.org/C63817138","wikidata":"https://www.wikidata.org/wiki/Q3455889","display_name":"Quantile regression","level":2,"score":0.6576635837554932},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6343462467193604},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5779050588607788},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.5292539000511169},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.5133585333824158},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.4882950782775879},{"id":"https://openalex.org/C43555835","wikidata":"https://www.wikidata.org/wiki/Q2300258","display_name":"Conditional probability distribution","level":2,"score":0.4547116756439209},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4453912377357483},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.43225014209747314},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.10824832320213318},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms12100976","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12100976","pdf_url":"https://www.mdpi.com/2075-1680/12/10/976/pdf?version=1697534918","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:4e806afc9f20414592e6ffeb140292df","is_oa":true,"landing_page_url":"https://doaj.org/article/4e806afc9f20414592e6ffeb140292df","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":"Axioms, Vol 12, Iss 10, p 976 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms12100976","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12100976","pdf_url":"https://www.mdpi.com/2075-1680/12/10/976/pdf?version=1697534918","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5600000023841858,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4387702512.pdf"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1510444525","https://openalex.org/W1990433276","https://openalex.org/W1997407470","https://openalex.org/W2004789965","https://openalex.org/W2031994746","https://openalex.org/W2065540158","https://openalex.org/W2086522521","https://openalex.org/W2094401757","https://openalex.org/W2112126852","https://openalex.org/W2115931340","https://openalex.org/W2151318425","https://openalex.org/W2154065358","https://openalex.org/W2159562728","https://openalex.org/W2294616020","https://openalex.org/W2323442985","https://openalex.org/W2325468794","https://openalex.org/W2750795719","https://openalex.org/W2763196650","https://openalex.org/W2887320827","https://openalex.org/W2918113287","https://openalex.org/W2946130033","https://openalex.org/W3016772234","https://openalex.org/W3038082949","https://openalex.org/W3146838880","https://openalex.org/W3159757662","https://openalex.org/W3209488950","https://openalex.org/W4220770361","https://openalex.org/W4232731667","https://openalex.org/W4236076432","https://openalex.org/W4312190464","https://openalex.org/W6775615058"],"related_works":["https://openalex.org/W4206511378","https://openalex.org/W4206618949","https://openalex.org/W2526321210","https://openalex.org/W3205863630","https://openalex.org/W3014605311","https://openalex.org/W2364275385","https://openalex.org/W4388704167","https://openalex.org/W4318833145","https://openalex.org/W2007977664","https://openalex.org/W2224749288"],"abstract_inverted_index":{"Many":[0],"phenomena":[1],"can":[2,44],"be":[3,45],"described":[4],"by":[5,89],"random":[6],"variables":[7],"that":[8],"follow":[9],"asymmetrical":[10],"distributions.":[11,85],"In":[12],"the":[13,18,31,38,60,81,91,94,134,147,155,159],"context":[14],"of":[15,83,93,146],"regression,":[16],"when":[17],"response":[19,32,61,95],"variable":[20,33,96],"Y":[21],"follows":[22],"such":[23],"a":[24,56,65,104,110],"distribution,":[25],"it":[26],"is":[27,101,113],"preferable":[28],"to":[29,120,158],"estimate":[30],"for":[34,47,59],"predictor":[35],"values":[36],"using":[37,97,103,136],"conditional":[39],"median.":[40],"Quantile":[41],"regression":[42,77],"models":[43,52,78],"employed":[46],"this":[48,88],"purpose.":[49],"However,":[50],"traditional":[51],"do":[53],"not":[54],"incorporate":[55],"distributional":[57,66],"assumption":[58,67],"variable.":[62],"To":[63],"introduce":[64],"while":[68],"preserving":[69],"model":[70],"flexibility,":[71],"we":[72,116,130],"propose":[73,117],"new":[74],"varying-coefficients":[75],"quantile":[76],"based":[79],"on":[80],"family":[82],"log-symmetric":[84],"We":[86],"achieve":[87],"reparametrizing":[90],"distribution":[92],"quantiles.":[98],"Parameter":[99],"estimation":[100],"performed":[102],"maximum":[105],"likelihood":[106],"penalized":[107],"method,":[108],"and":[109,126,132,154],"back-fitting":[111],"algorithm":[112],"developed.":[114],"Additionally,":[115],"diagnostic":[118],"techniques":[119],"identify":[121],"potentially":[122],"influential":[123],"local":[124],"observations":[125],"leverage":[127],"points.":[128],"Finally,":[129],"apply":[131],"illustrate":[133],"methodology":[135],"real":[137],"pollution":[138],"data":[139],"from":[140],"Padre":[141],"Las":[142],"Casas":[143],"city,":[144],"one":[145],"most":[148],"polluted":[149],"cities":[150],"in":[151],"Latin":[152],"America":[153],"Caribbean":[156],"according":[157],"World":[160],"Air":[161],"Quality":[162],"Index":[163],"Ranking.":[164]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}