{"id":"https://openalex.org/W3087405976","doi":"https://doi.org/10.1007/s11634-021-00457-4","title":"Nonparametric estimation of directional highest density regions","display_name":"Nonparametric estimation of directional highest density regions","publication_year":2021,"publication_date":"2021-10-10","ids":{"openalex":"https://openalex.org/W3087405976","doi":"https://doi.org/10.1007/s11634-021-00457-4","mag":"3087405976"},"language":"en","primary_location":{"id":"doi:10.1007/s11634-021-00457-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11634-021-00457-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11634-021-00457-4.pdf","source":{"id":"https://openalex.org/S4210175730","display_name":"Advances in Data Analysis and Classification","issn_l":"1862-5347","issn":["1862-5347","1862-5355"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Data Analysis and Classification","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11634-021-00457-4.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029925293","display_name":"Paula Saavedra\u2010Nieves","orcid":"https://orcid.org/0000-0002-3031-388X"},"institutions":[{"id":"https://openalex.org/I200284239","display_name":"Universidade de Santiago de Compostela","ror":"https://ror.org/030eybx10","country_code":"ES","type":"education","lineage":["https://openalex.org/I200284239"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Paula Saavedra-Nieves","raw_affiliation_strings":["Universidade de Santiago de Compostela, Santiago de Compostela, Spain","Universidade de Santiago de Compostela; Santiago de Compostela Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidade de Santiago de Compostela, Santiago de Compostela, Spain","institution_ids":["https://openalex.org/I200284239"]},{"raw_affiliation_string":"Universidade de Santiago de Compostela; Santiago de Compostela Spain","institution_ids":["https://openalex.org/I200284239"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035372543","display_name":"Rosa M. Crujeiras","orcid":"https://orcid.org/0000-0002-3907-8951"},"institutions":[{"id":"https://openalex.org/I200284239","display_name":"Universidade de Santiago de Compostela","ror":"https://ror.org/030eybx10","country_code":"ES","type":"education","lineage":["https://openalex.org/I200284239"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Rosa M. Crujeiras","raw_affiliation_strings":["Universidade de Santiago de Compostela, Santiago de Compostela, Spain","University of Santiago de Compostela"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidade de Santiago de Compostela, Santiago de Compostela, Spain","institution_ids":["https://openalex.org/I200284239"]},{"raw_affiliation_string":"University of Santiago de Compostela","institution_ids":["https://openalex.org/I200284239"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5029925293"],"corresponding_institution_ids":["https://openalex.org/I200284239"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":1.4025,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.8201352,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"16","issue":"3","first_page":"761","last_page":"796"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9919000267982483,"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":0.9919000267982483,"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":0.9692999720573425,"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/T10770","display_name":"Soil Geostatistics and Mapping","score":0.9302999973297119,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/kernel-density-estimation","display_name":"Kernel density estimation","score":0.8489112854003906},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.8032311201095581},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.7098000049591064},{"id":"https://openalex.org/keywords/variable-kernel-density-estimation","display_name":"Variable kernel density estimation","score":0.5813859701156616},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5680252909660339},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.5602923631668091},{"id":"https://openalex.org/keywords/density-estimation","display_name":"Density estimation","score":0.5559155941009521},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5309956073760986},{"id":"https://openalex.org/keywords/nonparametric-statistics","display_name":"Nonparametric statistics","score":0.5059980750083923},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47913095355033875},{"id":"https://openalex.org/keywords/multivariate-kernel-density-estimation","display_name":"Multivariate kernel density estimation","score":0.46713972091674805},{"id":"https://openalex.org/keywords/kernel-smoother","display_name":"Kernel smoother","score":0.4577144682407379},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43745219707489014},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36764955520629883},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.34526070952415466},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.2908409833908081},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2240542769432068},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.08425405621528625},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.0840538740158081}],"concepts":[{"id":"https://openalex.org/C71134354","wikidata":"https://www.wikidata.org/wiki/Q458825","display_name":"Kernel density estimation","level":3,"score":0.8489112854003906},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.8032311201095581},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.7098000049591064},{"id":"https://openalex.org/C195699287","wikidata":"https://www.wikidata.org/wiki/Q7915722","display_name":"Variable kernel density estimation","level":4,"score":0.5813859701156616},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5680252909660339},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.5602923631668091},{"id":"https://openalex.org/C189508267","wikidata":"https://www.wikidata.org/wiki/Q17088227","display_name":"Density estimation","level":3,"score":0.5559155941009521},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5309956073760986},{"id":"https://openalex.org/C102366305","wikidata":"https://www.wikidata.org/wiki/Q1097688","display_name":"Nonparametric statistics","level":2,"score":0.5059980750083923},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47913095355033875},{"id":"https://openalex.org/C84894716","wikidata":"https://www.wikidata.org/wiki/Q6935135","display_name":"Multivariate kernel density estimation","level":5,"score":0.46713972091674805},{"id":"https://openalex.org/C27406209","wikidata":"https://www.wikidata.org/wiki/Q6394203","display_name":"Kernel smoother","level":5,"score":0.4577144682407379},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43745219707489014},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36764955520629883},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.34526070952415466},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.2908409833908081},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2240542769432068},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.08425405621528625},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.0840538740158081},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C75866337","wikidata":"https://www.wikidata.org/wiki/Q7280263","display_name":"Radial basis function kernel","level":4,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s11634-021-00457-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11634-021-00457-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11634-021-00457-4.pdf","source":{"id":"https://openalex.org/S4210175730","display_name":"Advances in Data Analysis and Classification","issn_l":"1862-5347","issn":["1862-5347","1862-5355"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Data Analysis and Classification","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2009.08915","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2009.08915","pdf_url":"https://arxiv.org/pdf/2009.08915","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:3087405976","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/2009.08915","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:RePEc:spr:advdac:v:16:y:2022:i:3:d:10.1007_s11634-021-00457-4","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s11634-021-00457-4","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:minerva.usc.es:10347/30065","is_oa":true,"landing_page_url":"http://hdl.handle.net/10347/30065","pdf_url":null,"source":{"id":"https://openalex.org/S4306400376","display_name":"Repositorio institucional da Universidade de Santiago de Compostela (University of Santiago de Compostela)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200284239","host_organization_name":"Universidade de Santiago de Compostela","host_organization_lineage":["https://openalex.org/I200284239"],"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":"","raw_type":"journal article"},{"id":"doi:10.48550/arxiv.2009.08915","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2009.08915","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s11634-021-00457-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11634-021-00457-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11634-021-00457-4.pdf","source":{"id":"https://openalex.org/S4210175730","display_name":"Advances in Data Analysis and Classification","issn_l":"1862-5347","issn":["1862-5347","1862-5355"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Data Analysis and Classification","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1994303421","display_name":null,"funder_award_id":"MTM2017-089422-P","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G255625040","display_name":null,"funder_award_id":"PID2020-116587GB-I00","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G3145880764","display_name":null,"funder_award_id":"MTM2017","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G3546471811","display_name":null,"funder_award_id":"MTM2016-76969P","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G5805502524","display_name":null,"funder_award_id":"PID2020","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G6459137712","display_name":null,"funder_award_id":"PID2020-118101GBI00","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G6589649124","display_name":null,"funder_award_id":"PID2020-","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G7063366264","display_name":null,"funder_award_id":"MTM2016-76969P","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"}],"funders":[{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320326655","display_name":"Xunta de Galicia","ror":"https://ror.org/0181xnw06"},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3087405976.pdf","grobid_xml":"https://content.openalex.org/works/W3087405976.grobid-xml"},"referenced_works_count":70,"referenced_works":["https://openalex.org/W1576534100","https://openalex.org/W1949111824","https://openalex.org/W1967452588","https://openalex.org/W1967683808","https://openalex.org/W1969039219","https://openalex.org/W1969447312","https://openalex.org/W1975996019","https://openalex.org/W1982296458","https://openalex.org/W1988169300","https://openalex.org/W1996409688","https://openalex.org/W1998319082","https://openalex.org/W2005243481","https://openalex.org/W2014268383","https://openalex.org/W2021932742","https://openalex.org/W2022704357","https://openalex.org/W2022708133","https://openalex.org/W2022840043","https://openalex.org/W2026997470","https://openalex.org/W2044560027","https://openalex.org/W2045634471","https://openalex.org/W2046847615","https://openalex.org/W2047536306","https://openalex.org/W2048775123","https://openalex.org/W2051600043","https://openalex.org/W2053138484","https://openalex.org/W2056251006","https://openalex.org/W2058440261","https://openalex.org/W2059194774","https://openalex.org/W2060918050","https://openalex.org/W2062934120","https://openalex.org/W2067129409","https://openalex.org/W2071949631","https://openalex.org/W2075308182","https://openalex.org/W2089887770","https://openalex.org/W2093030681","https://openalex.org/W2093087186","https://openalex.org/W2097560589","https://openalex.org/W2097936551","https://openalex.org/W2102538225","https://openalex.org/W2109904733","https://openalex.org/W2118020555","https://openalex.org/W2118587067","https://openalex.org/W2126374732","https://openalex.org/W2126779282","https://openalex.org/W2129905273","https://openalex.org/W2145001205","https://openalex.org/W2155170697","https://openalex.org/W2157506811","https://openalex.org/W2168873296","https://openalex.org/W2170014674","https://openalex.org/W2170518091","https://openalex.org/W2267078244","https://openalex.org/W2337297617","https://openalex.org/W2345418289","https://openalex.org/W2522328784","https://openalex.org/W2741025586","https://openalex.org/W2769699315","https://openalex.org/W2771985859","https://openalex.org/W2913066018","https://openalex.org/W2943878723","https://openalex.org/W2962715586","https://openalex.org/W2963425138","https://openalex.org/W2990161218","https://openalex.org/W2997272628","https://openalex.org/W3012188615","https://openalex.org/W3093206039","https://openalex.org/W3106413396","https://openalex.org/W4235092540","https://openalex.org/W4236805867","https://openalex.org/W4238717354"],"related_works":["https://openalex.org/W2160918935","https://openalex.org/W2037104003","https://openalex.org/W2139362127","https://openalex.org/W1975920192","https://openalex.org/W127122305","https://openalex.org/W2080964220","https://openalex.org/W2045634471","https://openalex.org/W1588159356","https://openalex.org/W2071679154","https://openalex.org/W2535259264","https://openalex.org/W2347978646","https://openalex.org/W1504689356","https://openalex.org/W2123838169","https://openalex.org/W2037595452","https://openalex.org/W2832615944","https://openalex.org/W3184796338","https://openalex.org/W3094565554","https://openalex.org/W2164500538","https://openalex.org/W2114207451","https://openalex.org/W2767356114"],"abstract_inverted_index":{"Abstract":[0],"Highest":[1],"density":[2],"regions":[3,66],"(HDRs)":[4],"are":[5,53,67],"defined":[6,55],"as":[7],"level":[8],"sets":[9,131],"containing":[10],"sample":[11],"points":[12],"of":[13,86,98,111],"relatively":[14],"high":[15],"density.":[16],"Although":[17],"Euclidean":[18],"HDR":[19],"estimation":[20,81],"from":[21,26],"a":[22,72],"random":[23],"sample,":[24],"generated":[25],"the":[27,35,84,92,96,99,109,112,116,120],"underlying":[28],"density,":[29],"has":[30,40],"been":[31,42],"widely":[32],"considered":[33],"in":[34,132],"statistical":[36],"literature,":[37],"this":[38,49],"problem":[39],"not":[41],"contemplated":[43],"for":[44,78,115,119],"directional":[45,51],"data":[46,130],"yet.":[47],"In":[48],"work,":[50],"HDRs":[52,80],"formally":[54],"and":[56,63,101,118,135],"plug-in":[57,79],"estimators":[58],"based":[59,82],"on":[60,83],"kernel":[61],"smoothing":[62],"associated":[64],"confidence":[65],"proposed.":[68],"We":[69],"also":[70],"provide":[71],"new":[73],"suitable":[74],"bootstrap":[75],"bandwidth":[76],"selector":[77],"minimization":[85],"an":[87],"error":[88],"criteria":[89],"that":[90],"involves":[91],"Hausdorff":[93],"distance":[94],"between":[95],"boundaries":[97],"theoretical":[100],"estimated":[102],"HDRs.":[103],"An":[104],"extensive":[105],"simulation":[106],"study":[107],"shows":[108],"performance":[110],"resulting":[113],"estimator":[114],"circle":[117],"sphere.":[121],"The":[122],"methodology":[123],"is":[124],"applied":[125],"to":[126],"analyze":[127],"two":[128],"real":[129],"animal":[133],"orientation":[134],"seismology.":[136]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
