Departamento de Estadísticas y Ciencia de datos

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http://repositorioabierto.uantof.cl/handle/uantof/220

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Examinando Departamento de Estadísticas y Ciencia de datos por Autor "Cortés, Isaac E."

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  • Miniatura
    Ítem
    A New Generalization of the Truncated Gumbel Distributionwith Quantile Regression and Applications
    (MDPI, 2024) Gómez, Héctor J.; Santoro, Karol I.; Ayma, Diego; Cortés, Isaac E.; Magalhães, Tiago M.
    In this article, we introduce a new model with positive support. This model is an extension of the truncated Gumbel distribution, where a shape parameter is incorporated that provides greater flexibility to the new model. The model is parameterized in terms of the p-thquantile of the distribution to perform quantile regression in this model. An extensive simulation study demonstrates the good performance of the maximum likelihood estimators in finite samples. Finally, two applications to real datasets related to the level of beta-carotene and body mass index are presented.
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    Ítem
    Modified Unit-Half-Normal Distribution with Applications
    (MDPI, 2024) Alvarez, Paulina I.; Varela, Héctor; Cortés, Isaac E.; Venegas, Osvaldo; Gómez, Héctor W.
    In this article, we introduce a new continuous distribution based on the unit interval. Thisdistribution is generated from a transformation of a random variable with half-normal distribution.We study its basic properties, percentiles, moments and order statistics. Maximum likelihoodestimation is applied, and we present a simulation study to observe the behavior of the maximumlikelihood estimators. We examine two applications to real proportions datasets, where the newdistribution is shown to provide a better fit than other distributions defined in the unit interval.