{"id":"https://openalex.org/W4307634745","doi":"https://doi.org/10.3390/sym14112258","title":"Statistical Inference for Partially Linear Varying Coefficient Quantile Models with Missing Responses","display_name":"Statistical Inference for Partially Linear Varying Coefficient Quantile Models with Missing Responses","publication_year":2022,"publication_date":"2022-10-27","ids":{"openalex":"https://openalex.org/W4307634745","doi":"https://doi.org/10.3390/sym14112258"},"language":"en","primary_location":{"id":"doi:10.3390/sym14112258","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14112258","pdf_url":"https://www.mdpi.com/2073-8994/14/11/2258/pdf?version=1666859431","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/14/11/2258/pdf?version=1666859431","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100510257","display_name":"Yuxin Yan","orcid":"https://orcid.org/0009-0002-5256-4062"},"institutions":[{"id":"https://openalex.org/I27599042","display_name":"Xi'an Polytechnic University","ror":"https://ror.org/03442p831","country_code":"CN","type":"education","lineage":["https://openalex.org/I27599042"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuxin Yan","raw_affiliation_strings":["School of Science, Xi\u2019an Polytechnic University, Xi\u2019an 710048, China","School of Science, Xi'an Polytechnic University, Xi'an 710048, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Xi\u2019an Polytechnic University, Xi\u2019an 710048, China","institution_ids":["https://openalex.org/I27599042"]},{"raw_affiliation_string":"School of Science, Xi'an Polytechnic University, Xi'an 710048, China","institution_ids":["https://openalex.org/I27599042"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100979924","display_name":"Shuanghua Luo","orcid":null},"institutions":[{"id":"https://openalex.org/I27599042","display_name":"Xi'an Polytechnic University","ror":"https://ror.org/03442p831","country_code":"CN","type":"education","lineage":["https://openalex.org/I27599042"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shuanghua Luo","raw_affiliation_strings":["School of Science, Xi\u2019an Polytechnic University, Xi\u2019an 710048, China","School of Science, Xi'an Polytechnic University, Xi'an 710048, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Xi\u2019an Polytechnic University, Xi\u2019an 710048, China","institution_ids":["https://openalex.org/I27599042"]},{"raw_affiliation_string":"School of Science, Xi'an Polytechnic University, Xi'an 710048, China","institution_ids":["https://openalex.org/I27599042"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080515125","display_name":"Chengyi Zhang","orcid":"https://orcid.org/0000-0002-6027-0606"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Cheng-yi Zhang","raw_affiliation_strings":["School of Economics and Finance, Xi\u2019an Jiaotong University, Xi\u2019an 710061, China","School of Economics and Finance, Xi'an Jiaotong University, Xi'an 710061, China"],"raw_orcid":"https://orcid.org/0000-0002-6027-0606","affiliations":[{"raw_affiliation_string":"School of Economics and Finance, Xi\u2019an Jiaotong University, Xi\u2019an 710061, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Economics and Finance, Xi'an Jiaotong University, Xi'an 710061, China","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080515125","https://openalex.org/A5100979924"],"corresponding_institution_ids":["https://openalex.org/I27599042","https://openalex.org/I87445476"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.4904,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67487968,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"14","issue":"11","first_page":"2258","last_page":"2258"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9955000281333923,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9922000169754028,"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/empirical-likelihood","display_name":"Empirical likelihood","score":0.8079345226287842},{"id":"https://openalex.org/keywords/quantile","display_name":"Quantile","score":0.7566453218460083},{"id":"https://openalex.org/keywords/confidence-interval","display_name":"Confidence interval","score":0.7153193354606628},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.711201012134552},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.6583377122879028},{"id":"https://openalex.org/keywords/coverage-probability","display_name":"Coverage probability","score":0.630966305732727},{"id":"https://openalex.org/keywords/confidence-region","display_name":"Confidence region","score":0.5976943373680115},{"id":"https://openalex.org/keywords/confidence-distribution","display_name":"Confidence distribution","score":0.5663052797317505},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.5385139584541321},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5380781292915344},{"id":"https://openalex.org/keywords/cdf-based-nonparametric-confidence-interval","display_name":"CDF-based nonparametric confidence interval","score":0.5357906222343445},{"id":"https://openalex.org/keywords/point-estimation","display_name":"Point estimation","score":0.4690086543560028},{"id":"https://openalex.org/keywords/confidence-and-prediction-bands","display_name":"Confidence and prediction bands","score":0.4242277145385742},{"id":"https://openalex.org/keywords/imputation","display_name":"Imputation (statistics)","score":0.42229896783828735},{"id":"https://openalex.org/keywords/missing-data","display_name":"Missing data","score":0.3915601968765259},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3510023057460785},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1621350347995758}],"concepts":[{"id":"https://openalex.org/C2781117939","wikidata":"https://www.wikidata.org/wiki/Q5374245","display_name":"Empirical likelihood","level":3,"score":0.8079345226287842},{"id":"https://openalex.org/C118671147","wikidata":"https://www.wikidata.org/wiki/Q578714","display_name":"Quantile","level":2,"score":0.7566453218460083},{"id":"https://openalex.org/C44249647","wikidata":"https://www.wikidata.org/wiki/Q208498","display_name":"Confidence interval","level":2,"score":0.7153193354606628},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.711201012134552},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6583377122879028},{"id":"https://openalex.org/C2776292839","wikidata":"https://www.wikidata.org/wiki/Q5179217","display_name":"Coverage probability","level":3,"score":0.630966305732727},{"id":"https://openalex.org/C143380155","wikidata":"https://www.wikidata.org/wiki/Q5160088","display_name":"Confidence region","level":3,"score":0.5976943373680115},{"id":"https://openalex.org/C13662513","wikidata":"https://www.wikidata.org/wiki/Q5160087","display_name":"Confidence distribution","level":3,"score":0.5663052797317505},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.5385139584541321},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5380781292915344},{"id":"https://openalex.org/C42468098","wikidata":"https://www.wikidata.org/wiki/Q5009921","display_name":"CDF-based nonparametric confidence interval","level":3,"score":0.5357906222343445},{"id":"https://openalex.org/C41426520","wikidata":"https://www.wikidata.org/wiki/Q1192065","display_name":"Point estimation","level":2,"score":0.4690086543560028},{"id":"https://openalex.org/C140529851","wikidata":"https://www.wikidata.org/wiki/Q5160083","display_name":"Confidence and prediction bands","level":3,"score":0.4242277145385742},{"id":"https://openalex.org/C58041806","wikidata":"https://www.wikidata.org/wiki/Q1660484","display_name":"Imputation (statistics)","level":3,"score":0.42229896783828735},{"id":"https://openalex.org/C9357733","wikidata":"https://www.wikidata.org/wiki/Q6878417","display_name":"Missing data","level":2,"score":0.3915601968765259},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3510023057460785},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1621350347995758},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym14112258","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14112258","pdf_url":"https://www.mdpi.com/2073-8994/14/11/2258/pdf?version=1666859431","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:884627a52d3a4c46b14c63e66e9e034c","is_oa":true,"landing_page_url":"https://doaj.org/article/884627a52d3a4c46b14c63e66e9e034c","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":"Symmetry, Vol 14, Iss 11, p 2258 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/14/11/2258/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym14112258","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Symmetry; Volume 14; Issue 11; Pages: 2258","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym14112258","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14112258","pdf_url":"https://www.mdpi.com/2073-8994/14/11/2258/pdf?version=1666859431","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4307634745.pdf"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1967672047","https://openalex.org/W1993869553","https://openalex.org/W2004316780","https://openalex.org/W2022547775","https://openalex.org/W2028494354","https://openalex.org/W2039811614","https://openalex.org/W2044237961","https://openalex.org/W2059126764","https://openalex.org/W2066979989","https://openalex.org/W2070337513","https://openalex.org/W2094607565","https://openalex.org/W2095455328","https://openalex.org/W2111388513","https://openalex.org/W2116739230","https://openalex.org/W2116855184","https://openalex.org/W2118502261","https://openalex.org/W2169013499","https://openalex.org/W2170553535","https://openalex.org/W2898554132","https://openalex.org/W3042149505","https://openalex.org/W4230104359","https://openalex.org/W4233471163","https://openalex.org/W4241653265"],"related_works":["https://openalex.org/W2075402749","https://openalex.org/W4388293189","https://openalex.org/W4364383155","https://openalex.org/W2032077494","https://openalex.org/W2223145623","https://openalex.org/W2016092528","https://openalex.org/W1573676449","https://openalex.org/W2089735294","https://openalex.org/W229248166","https://openalex.org/W2031384772"],"abstract_inverted_index":{"The":[0],"construction":[1],"of":[2,60,69],"confidence":[3,32,58,67,89],"intervals":[4,33,59,68,90],"is":[5,28,42],"investigated":[6],"for":[7,34],"the":[8,45,56,61,65,70,77,84],"partially":[9],"linear":[10],"varying":[11,37,71],"coefficient":[12,38,72],"quantile":[13,21],"model":[14],"with":[15,20],"missing":[16],"random":[17],"responses.":[18],"Combined":[19],"regression,":[22],"an":[23],"imputation-based":[24],"empirical":[25,47],"likelihood":[26],"method":[27,86],"proposed":[29,46,85],"to":[30,80],"construct":[31],"parametric":[35,62],"and":[36,64,91],"components.":[39],"Then,":[40],"it":[41],"proved":[43],"that":[44,83],"log-likelihood":[48],"ratios":[49],"are":[50,74],"asymptotically":[51],"Chi-square":[52],"in":[53,76],"theory.":[54],"Finally,":[55],"symmetry":[57],"components":[63,73],"point-by-point":[66],"constructed":[75],"simulation":[78],"studies":[79],"demonstrate":[81],"further":[82],"yields":[87],"smaller":[88],"higher":[92],"coverage":[93],"probabilities.":[94]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-22T06:13:13.366637","created_date":"2025-10-10T00:00:00"}
