{"id":"https://openalex.org/W3011000330","doi":"https://doi.org/10.3390/sym12030442","title":"A Bimodal Discrete Shifted Poisson Distribution. A Case Study of Tourists\u2019 Length of Stay","display_name":"A Bimodal Discrete Shifted Poisson Distribution. A Case Study of Tourists\u2019 Length of Stay","publication_year":2020,"publication_date":"2020-03-10","ids":{"openalex":"https://openalex.org/W3011000330","doi":"https://doi.org/10.3390/sym12030442","mag":"3011000330"},"language":"en","primary_location":{"id":"doi:10.3390/sym12030442","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12030442","pdf_url":"https://www.mdpi.com/2073-8994/12/3/442/pdf?version=1583825953","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/2073-8994/12/3/442/pdf?version=1583825953","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004808296","display_name":"Emilio G\u00f3mez\u2013D\u00e9niz","orcid":"https://orcid.org/0000-0002-5072-7908"},"institutions":[{"id":"https://openalex.org/I119635470","display_name":"Universidad de Las Palmas de Gran Canaria","ror":"https://ror.org/01teme464","country_code":"ES","type":"education","lineage":["https://openalex.org/I119635470"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Emilio G\u00f3mez-D\u00e9niz","raw_affiliation_strings":["Department of Quantitative Methods, TiDES Institute, University of Las Palmas de Gran Canaria, 35007 Las Palmas de G.C., Spain"],"raw_orcid":"https://orcid.org/0000-0002-5072-7908","affiliations":[{"raw_affiliation_string":"Department of Quantitative Methods, TiDES Institute, University of Las Palmas de Gran Canaria, 35007 Las Palmas de G.C., Spain","institution_ids":["https://openalex.org/I119635470"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013276630","display_name":"Jorge V. P\u00e9rez\u2013Rodr\u00edguez","orcid":"https://orcid.org/0000-0002-6738-9191"},"institutions":[{"id":"https://openalex.org/I119635470","display_name":"Universidad de Las Palmas de Gran Canaria","ror":"https://ror.org/01teme464","country_code":"ES","type":"education","lineage":["https://openalex.org/I119635470"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Jorge Vicente P\u00e9rez-Rodr\u00edguez","raw_affiliation_strings":["Department of Quantitative Methods, University of Las Palmas de Gran Canaria, 35007 Las Palmas de G.C., Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Quantitative Methods, University of Las Palmas de Gran Canaria, 35007 Las Palmas de G.C., Spain","institution_ids":["https://openalex.org/I119635470"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021055806","display_name":"Jimmy Reyes","orcid":"https://orcid.org/0000-0002-2921-3056"},"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":false,"raw_author_name":"Jimmy Reyes","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"]}]},{"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":false,"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":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5013276630"],"corresponding_institution_ids":["https://openalex.org/I119635470"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.8625,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.87365439,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"12","issue":"3","first_page":"442","last_page":"442"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10298","display_name":"Urban Transport and Accessibility","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10298","display_name":"Urban Transport and Accessibility","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10841","display_name":"Economic and Environmental Valuation","score":0.9882000088691711,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bimodality","display_name":"Bimodality","score":0.9187643527984619},{"id":"https://openalex.org/keywords/overdispersion","display_name":"Overdispersion","score":0.8512727618217468},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.7985564470291138},{"id":"https://openalex.org/keywords/count-data","display_name":"Count data","score":0.6130270957946777},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.6003313660621643},{"id":"https://openalex.org/keywords/covariate","display_name":"Covariate","score":0.5451199412345886},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5393087863922119},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.5063296556472778},{"id":"https://openalex.org/keywords/compound-poisson-distribution","display_name":"Compound Poisson distribution","score":0.48192858695983887},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4721187353134155},{"id":"https://openalex.org/keywords/zero-inflated-model","display_name":"Zero-inflated model","score":0.46107152104377747},{"id":"https://openalex.org/keywords/unimodality","display_name":"Unimodality","score":0.4122179448604584},{"id":"https://openalex.org/keywords/poisson-regression","display_name":"Poisson regression","score":0.3723612129688263},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3287198543548584},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.1529020071029663},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1271008551120758},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1141417920589447},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.07899618148803711}],"concepts":[{"id":"https://openalex.org/C2779287300","wikidata":"https://www.wikidata.org/wiki/Q4913752","display_name":"Bimodality","level":3,"score":0.9187643527984619},{"id":"https://openalex.org/C117236510","wikidata":"https://www.wikidata.org/wiki/Q7113620","display_name":"Overdispersion","level":4,"score":0.8512727618217468},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.7985564470291138},{"id":"https://openalex.org/C33643355","wikidata":"https://www.wikidata.org/wiki/Q5176731","display_name":"Count data","level":3,"score":0.6130270957946777},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6003313660621643},{"id":"https://openalex.org/C119043178","wikidata":"https://www.wikidata.org/wiki/Q320723","display_name":"Covariate","level":2,"score":0.5451199412345886},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5393087863922119},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.5063296556472778},{"id":"https://openalex.org/C178174526","wikidata":"https://www.wikidata.org/wiki/Q3711786","display_name":"Compound Poisson distribution","level":4,"score":0.48192858695983887},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4721187353134155},{"id":"https://openalex.org/C88721176","wikidata":"https://www.wikidata.org/wiki/Q966010","display_name":"Zero-inflated model","level":4,"score":0.46107152104377747},{"id":"https://openalex.org/C21596040","wikidata":"https://www.wikidata.org/wiki/Q2896771","display_name":"Unimodality","level":2,"score":0.4122179448604584},{"id":"https://openalex.org/C73269764","wikidata":"https://www.wikidata.org/wiki/Q954529","display_name":"Poisson regression","level":3,"score":0.3723612129688263},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3287198543548584},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.1529020071029663},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1271008551120758},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1141417920589447},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.07899618148803711},{"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/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.0},{"id":"https://openalex.org/C98444146","wikidata":"https://www.wikidata.org/wiki/Q318","display_name":"Galaxy","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym12030442","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12030442","pdf_url":"https://www.mdpi.com/2073-8994/12/3/442/pdf?version=1583825953","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:accedacris.ulpgc.es:10553/107386","is_oa":false,"landing_page_url":"http://hdl.handle.net/10553/107386","pdf_url":null,"source":{"id":"https://openalex.org/S4306400136","display_name":"Acceda (Universidad de Las Palmas de Gran Canaria)","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry [ISSN 2073-8994], v. 12(3), 442, (Marzo 2020)","raw_type":"info:eu-repo/semantics/Article"},{"id":"pmh:oai:doaj.org/article:ebd37dc3fb9c4da8b916a38614a6aa14","is_oa":true,"landing_page_url":"https://doaj.org/article/ebd37dc3fb9c4da8b916a38614a6aa14","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 12, Iss 3, p 442 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym12030442","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12030442","pdf_url":"https://www.mdpi.com/2073-8994/12/3/442/pdf?version=1583825953","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":0.5,"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth"}],"awards":[{"id":"https://openalex.org/G3639187022","display_name":null,"funder_award_id":"ECO2013-47092","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"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3011000330.pdf","grobid_xml":"https://content.openalex.org/works/W3011000330.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W153068971","https://openalex.org/W188443989","https://openalex.org/W1575922766","https://openalex.org/W1981903823","https://openalex.org/W1994828820","https://openalex.org/W2000751444","https://openalex.org/W2006616951","https://openalex.org/W2016171401","https://openalex.org/W2045383660","https://openalex.org/W2050193143","https://openalex.org/W2051028717","https://openalex.org/W2059984236","https://openalex.org/W2065288020","https://openalex.org/W2066165689","https://openalex.org/W2083912945","https://openalex.org/W2085121493","https://openalex.org/W2093493126","https://openalex.org/W2120940375","https://openalex.org/W2137992970","https://openalex.org/W2164082705","https://openalex.org/W2561329344","https://openalex.org/W2914633995","https://openalex.org/W6651895917","https://openalex.org/W6730262814"],"related_works":["https://openalex.org/W1978486772","https://openalex.org/W2008364364","https://openalex.org/W2011515496","https://openalex.org/W3134152119","https://openalex.org/W4205626288","https://openalex.org/W2811149038","https://openalex.org/W3120214361","https://openalex.org/W2027874981","https://openalex.org/W1905339658","https://openalex.org/W1570034871"],"abstract_inverted_index":{"Although":[0],"the":[1,27,58,86,100,110,117],"Poisson":[2,55],"distribution":[3,21,59],"is":[4,23,113,120],"appropriate":[5],"for":[6,26],"modelling":[7],"equi-dispersed":[8],"distributions,":[9],"it":[10],"reflects":[11],"bimodality":[12],"less":[13],"well.":[14],"In":[15],"this":[16],"paper,":[17],"we":[18],"propose":[19],"a":[20,54,90],"which":[22],"more":[24],"suitable":[25],"latter":[28],"purpose.":[29],"It":[30],"can":[31,60,72],"be":[32,61,73],"fitted":[33],"to":[34,43],"both":[35],"positively":[36],"and":[37,41,69,115],"negatively":[38],"skewed":[39],"data":[40,50,97],"appears":[42],"represent":[44],"overdispersion":[45],"phenomena":[46],"correctly":[47],"in":[48,63,85],"count":[49],"models":[51],"obtained":[52,119],"using":[53],"distribution.":[56],"Furthermore,":[57],"normalised":[62],"terms":[64],"of":[65,83],"its":[66],"mean":[67],"value,":[68],"therefore":[70],"covariates":[71],"included.":[74],"Our":[75,106],"empirical":[76],"results":[77],"are":[78],"based":[79],"on":[80],"tourists\u2019":[81],"length":[82],"stay":[84],"Canary":[87,101],"Islands":[88,102],"(Spain),":[89],"popular":[91],"holiday":[92],"destination.":[93],"The":[94],"study":[95],"analyses":[96],"supplied":[98],"by":[99],"Tourist":[103],"Expenditure":[104],"Survey.":[105],"findings":[107],"show":[108],"that":[109,116],"model":[111],"presented":[112],"valid":[114],"fit":[118],"reasonably":[121],"good.":[122]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}