{"id":"https://openalex.org/W2980491806","doi":"https://doi.org/10.3390/sym11101305","title":"Flexible Birnbaum\u2013Saunders Distribution","display_name":"Flexible Birnbaum\u2013Saunders Distribution","publication_year":2019,"publication_date":"2019-10-16","ids":{"openalex":"https://openalex.org/W2980491806","doi":"https://doi.org/10.3390/sym11101305","mag":"2980491806"},"language":"en","primary_location":{"id":"doi:10.3390/sym11101305","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11101305","pdf_url":"https://www.mdpi.com/2073-8994/11/10/1305/pdf?version=1571217132","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/2073-8994/11/10/1305/pdf?version=1571217132","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058528126","display_name":"Guillermo Mart\u00ednez\u2010Fl\u00f3rez","orcid":"https://orcid.org/0000-0001-6441-5377"},"institutions":[{"id":"https://openalex.org/I324290372","display_name":"University of C\u00f3rdoba","ror":"https://ror.org/04nmbd607","country_code":"CO","type":"education","lineage":["https://openalex.org/I324290372"]}],"countries":["CO"],"is_corresponding":false,"raw_author_name":"Guillermo Mart\u00ednez-Fl\u00f3rez","raw_affiliation_strings":["Departamento de Matem\u00e1ticas y Estad\u00edstica, Facultad de Ciencias B\u00e1sicas, Universidad de C\u00f3rdoba, C\u00f3rdoba 230027, Colombia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas y Estad\u00edstica, Facultad de Ciencias B\u00e1sicas, Universidad de C\u00f3rdoba, C\u00f3rdoba 230027, Colombia","institution_ids":["https://openalex.org/I324290372"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069331662","display_name":"Inmaculada Barranco\u2010Chamorro","orcid":"https://orcid.org/0000-0002-9064-2597"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Inmaculada Barranco-Chamorro","raw_affiliation_strings":["Departamento de Estad\u00edstica e Investigaci\u00f3n Operativa, Universidad de Sevilla, 41000 Sevilla, Spain"],"raw_orcid":"https://orcid.org/0000-0002-9064-2597","affiliations":[{"raw_affiliation_string":"Departamento de Estad\u00edstica e Investigaci\u00f3n Operativa, Universidad de Sevilla, 41000 Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030324554","display_name":"Heleno Bolfarine","orcid":"https://orcid.org/0000-0001-9195-3672"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Heleno Bolfarine","raw_affiliation_strings":["Departamento de Estat\u00edtica, IME, Universidade de S\u00e3o Paulo, S\u00e3o Paulo 01000, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Estat\u00edtica, IME, Universidade de S\u00e3o Paulo, S\u00e3o Paulo 01000, Brazil","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003444918","display_name":"H\u00e9ctor W. G\u00f3mez","orcid":"https://orcid.org/0000-0003-3726-5507"},"institutions":[{"id":"https://openalex.org/I129739261","display_name":"Universidad de Antofagasta","ror":"https://ror.org/04eyc6d95","country_code":"CL","type":"education","lineage":["https://openalex.org/I129739261"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"H\u00e9ctor W. G\u00f3mez","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Facultad de Ciencias B\u00e1sicas, Universidad de Antofagasta, Antofagasta 1240000, Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Facultad de Ciencias B\u00e1sicas, Universidad de Antofagasta, Antofagasta 1240000, Chile","institution_ids":["https://openalex.org/I129739261"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5003444918"],"corresponding_institution_ids":["https://openalex.org/I129739261"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.4307,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.84322825,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"11","issue":"10","first_page":"1305","last_page":"1305"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9998000264167786,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9998000264167786,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11186","display_name":"Hydrology and Drought Analysis","score":0.9833999872207642,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"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/skew","display_name":"Skew","score":0.6680599451065063},{"id":"https://openalex.org/keywords/maximum-likelihood","display_name":"Maximum likelihood","score":0.6314389705657959},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5691381096839905},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5150437355041504},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47639670968055725},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.4471375346183777},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39525726437568665},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3108396530151367},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28492289781570435}],"concepts":[{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.6680599451065063},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.6314389705657959},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5691381096839905},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5150437355041504},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47639670968055725},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.4471375346183777},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39525726437568665},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3108396530151367},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28492289781570435},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/sym11101305","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11101305","pdf_url":"https://www.mdpi.com/2073-8994/11/10/1305/pdf?version=1571217132","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:dnet:idus________::bb44b1894f716bcd5e95945e47b944c5","is_oa":false,"landing_page_url":"https://idus.us.es/handle//11441/91654","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:002976866","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/sym11101305","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"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":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:doaj.org/article:2416093a6fb14dee9f4a11c077739ad8","is_oa":true,"landing_page_url":"https://doaj.org/article/2416093a6fb14dee9f4a11c077739ad8","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 11, Iss 10, p 1305 (2019)","raw_type":"article"},{"id":"pmh:oai:idus.us.es:11441/137942","is_oa":true,"landing_page_url":"https://idus.us.es/handle//11441/137942","pdf_url":null,"source":{"id":"https://openalex.org/S4306400333","display_name":"idUS (Universidad de Sevilla)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79238269","host_organization_name":"Universidad de Sevilla","host_organization_lineage":["https://openalex.org/I79238269"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.3390/sym11101305","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11101305","pdf_url":"https://www.mdpi.com/2073-8994/11/10/1305/pdf?version=1571217132","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":[{"score":0.6700000166893005,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2980491806.pdf","grobid_xml":"https://content.openalex.org/works/W2980491806.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W94194614","https://openalex.org/W1963490947","https://openalex.org/W1975644945","https://openalex.org/W1981413502","https://openalex.org/W1983645986","https://openalex.org/W1992718700","https://openalex.org/W2000329225","https://openalex.org/W2002926669","https://openalex.org/W2003084110","https://openalex.org/W2005875379","https://openalex.org/W2005944024","https://openalex.org/W2012628772","https://openalex.org/W2025374079","https://openalex.org/W2027715285","https://openalex.org/W2038102608","https://openalex.org/W2042761726","https://openalex.org/W2048802423","https://openalex.org/W2053454556","https://openalex.org/W2060554568","https://openalex.org/W2073694960","https://openalex.org/W2074970793","https://openalex.org/W2114012275","https://openalex.org/W2115270338","https://openalex.org/W2142635246","https://openalex.org/W2460279292","https://openalex.org/W2792584016","https://openalex.org/W2794641067","https://openalex.org/W2904097440","https://openalex.org/W2914968942","https://openalex.org/W2919448320","https://openalex.org/W6603863532"],"related_works":["https://openalex.org/W102380321","https://openalex.org/W2120595071","https://openalex.org/W2090147078","https://openalex.org/W2610798632","https://openalex.org/W2353424004","https://openalex.org/W4245421848","https://openalex.org/W3139607207","https://openalex.org/W2371827284","https://openalex.org/W2978085921","https://openalex.org/W1600683375"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"a":[5],"bimodal":[6],"extension":[7],"of":[8,57],"the":[9,27,32],"Birnbaum\u2013Saunders":[10,23,29,34],"model":[11,19,36],"by":[12],"including":[13],"an":[14,49],"extra":[15],"parameter.":[16],"This":[17],"new":[18],"is":[20,46],"termed":[21],"flexible":[22],"(FBS)":[24],"and":[25,31],"includes":[26],"ordinary":[28],"(BS)":[30],"skew":[33],"(SBS)":[35],"as":[37],"special":[38],"cases.":[39],"Its":[40],"properties":[41],"are":[42,62],"studied.":[43],"Parameter":[44],"estimation":[45],"considered":[47],"via":[48],"iterative":[50],"maximum":[51],"likelihood":[52],"approach.":[53],"Two":[54],"real":[55],"applications,":[56],"interest":[58],"in":[59],"environmental":[60],"sciences,":[61],"included,":[63],"which":[64],"reveal":[65],"that":[66],"our":[67],"proposal":[68],"can":[69],"perform":[70],"better":[71],"than":[72],"other":[73],"competing":[74],"models.":[75]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}