Departamento de Matemáticas

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http://repositorioabierto.uantof.cl/handle/uantof/222

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Examinando Departamento de Matemáticas por Materia "bimodality"

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  • Miniatura
    Ítem
    A bimodal discrete shifted poisson distribution. A case study of tourists' length of stay
    (MDPI, 2020) Gómez-Déniz, Emilio; Pérez-Rodríguez, Jorge Vicente; Reyes, Jimmy; Gómez, Héctor W.
    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.
  • Miniatura
    Ítem
    Flexible Birnbaum-Saunders distribution
    (MDPI, 2019) Martínez-Flórez, Guillermo; Barranco-Chamorro, Inmaculada; Bolfarine, Heleno; Gómez, HectorW.
    In this paper, we propose a bimodal extension of the Birnbaum–Saunders model by including an extra parameter. This new model is termed flexible Birnbaum–Saunders (FBS) and includes the ordinary Birnbaum–Saunders (BS) and the skew Birnbaum–Saunders (SBS) model as special cases. Its properties are studied. Parameter estimation is considered via an iterative maximum likelihood approach. Two real applications, of interest in environmental sciences, are included, which reveal that our proposal can perform better than other competing models.