{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,31]],"date-time":"2026-01-31T08:48:35Z","timestamp":1769849315426,"version":"3.49.0"},"reference-count":24,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2020,3,10]],"date-time":"2020-03-10T00:00:00Z","timestamp":1583798400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Ministerio de Econom\u00eda y Competitividad, Spain","award":["ECO2013-47092"],"award-info":[{"award-number":["ECO2013-47092"]}]},{"name":"Ministerio de Econom\u00eda, Industria y Competitividad, Spain","award":["ECO2017-85577-P"],"award-info":[{"award-number":["ECO2017-85577-P"]}]},{"name":"MINEDUC-UA, Chile","award":["Code ANT 1755"],"award-info":[{"award-number":["Code ANT 1755"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Although the Poisson distribution is appropriate for modelling equi-dispersed distributions, it reflects bimodality less well. In this paper, we propose a distribution which is more suitable for the latter purpose. It can be fitted to both positively and negatively skewed data and appears to represent overdispersion phenomena correctly in count data models obtained using a Poisson distribution. Furthermore, the distribution can be normalised in terms of its mean value, and therefore covariates can be included. Our empirical results are based on tourists\u2019 length of stay in the Canary Islands (Spain), a popular holiday destination. The study analyses data supplied by the Canary Islands Tourist Expenditure Survey. Our findings show that the model presented is valid and that the fit obtained is reasonably good.<\/jats:p>","DOI":"10.3390\/sym12030442","type":"journal-article","created":{"date-parts":[[2020,3,13]],"date-time":"2020-03-13T08:58:59Z","timestamp":1584089939000},"page":"442","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["A Bimodal Discrete Shifted Poisson Distribution. A Case Study of Tourists\u2019 Length of Stay"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5072-7908","authenticated-orcid":false,"given":"Emilio","family":"G\u00f3mez-D\u00e9niz","sequence":"first","affiliation":[{"name":"Department of Quantitative Methods, TiDES Institute, University of Las Palmas de Gran Canaria, 35007 Las Palmas de G.C., Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jorge Vicente","family":"P\u00e9rez-Rodr\u00edguez","sequence":"additional","affiliation":[{"name":"Department of Quantitative Methods, University of Las Palmas de Gran Canaria, 35007 Las Palmas de G.C., Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jimmy","family":"Reyes","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Facultad de Ciencias B\u00e1sicas, Universidad de Antofagasta, Antofagasta 1240000, Chile"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"H\u00e9ctor W.","family":"G\u00f3mez","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Facultad de Ciencias B\u00e1sicas, Universidad de Antofagasta, Antofagasta 1240000, Chile"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,3,10]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"352","DOI":"10.1080\/07350015.2014.949343","article-title":"Modeling bimodal discrete data using Conway-Maxwell-Poisson mixture models","volume":"33","author":"Sur","year":"2015","journal-title":"J. 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