Departamento de Matemáticas

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

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Examinando Departamento de Matemáticas por Materia "bimodal"

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  • Miniatura
    Ítem
    An asymmetric bimodal distribution with application to quantile regression
    (MDPI, 2019) Gómez, Yolanda M; Gómez-Déniz, Emilio; Venegas, Osvaldo; Gallardo, Diego I.; Gómez, Héctor W.
    In this article, we study an extension of the sinh Cauchy model in order to obtain asymmetric bimodality. The behavior of the distribution may be either unimodal or bimodal. We calculate its cumulative distribution function and use it to carry out quantile regression. We calculate the maximum likelihood estimators and carry out a simulation study. Two applications are analyzed based on real data to illustrate the flexibility of the distribution for modeling unimodal and bimodal data
  • Miniatura
    Ítem
    On properties of the bimodal skew-normal distribution and an application
    (MDPI, 2020) Elal-Olivero, David; Olivares-Pacheco, Juan F.; Venegas, Osvaldo; Bolfarine, Heleno; Gómez, Héctor W.
    The main object of this paper is to develop an alternative construction for the bimodal skew-normal distribution. The construction is based upon a study of the mixture of skew-normal distributions. We study some basic properties of this family, its stochastic representations and expressions for its moments. Parameters are estimated using the maximum likelihood estimation method. A simulation study is carried out to observe the performance of the maximum likelihood estimators. Finally, we compare the efficiency of the new distribution with other distributions in the literature using a real data set. The study shows that the proposed approach presents satisfactory results.