A Bimodal Discrete Shifted Poisson Distribution. A Case Study of Tourists’ Length of Stay
1
Department of Quantitative Methods, TiDES Institute, University of Las Palmas de Gran Canaria, 35007 Las Palmas de G.C., Spain
2
Department of Quantitative Methods, University of Las Palmas de Gran Canaria, 35007 Las Palmas de G.C., Spain
3
Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, Chile
*
Author to whom correspondence should be addressed.
†
These authors contributed equally to this work.
Symmetry 2020, 12(3), 442; https://doi.org/10.3390/sym12030442
Received: 11 February 2020 / Revised: 2 March 2020 / Accepted: 5 March 2020 / Published: 10 March 2020
(This article belongs to the Special Issue Symmetric and Asymmetric Bimodal Distributions with Applications)
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’ 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.
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Keywords:
bimodality; covariate; overdispersion; shifted Poisson distribution; length of tourist stay
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MDPI and ACS Style
Gómez-Déniz, E.; Pérez-Rodríguez, J.V.; Reyes, J.; Gómez, H.W. A Bimodal Discrete Shifted Poisson Distribution. A Case Study of Tourists’ Length of Stay. Symmetry 2020, 12, 442.
AMA Style
Gómez-Déniz E, Pérez-Rodríguez JV, Reyes J, Gómez HW. A Bimodal Discrete Shifted Poisson Distribution. A Case Study of Tourists’ Length of Stay. Symmetry. 2020; 12(3):442.
Chicago/Turabian StyleGómez-Déniz, Emilio; Pérez-Rodríguez, Jorge V.; Reyes, Jimmy; Gómez, Héctor W. 2020. "A Bimodal Discrete Shifted Poisson Distribution. A Case Study of Tourists’ Length of Stay" Symmetry 12, no. 3: 442.
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