Examinando por Autor "Neveka M. Olmos"

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  • Miniatura
    Ítem
    A Composite Half-Normal-Pareto Distribution with Applications to Income and Expenditure Data
    (2024) Neveka M. Olmos; Emilio Gómez-Déniz; Osvaldo Venegas; Héctor W. Gómez
    The half-normal distribution is composited with the Pareto model to obtain a uni-parametric distribution with a heavy right tail, called the composite half-normal-Pareto distribution. This new distribution is useful for modeling positive data with atypical observations. We study the properties and the behavior of the right tail of this new distribution. We estimate the parameter using a method based on percentiles and the maximum likelihood method and assess the performance of the maximum likelihood estimator using Monte Carlo. We report three applications, one with simulated data and the others with income and expenditure data, in which the new distribution presents better performance than the Pareto distribution.
  • Miniatura
    Ítem
    Scale Mixture of Gleser Distribution with an Application toInsurance Data
    (2024) Neveka M. Olmos; Emilio Gómez Déniz; Osvaldo Venegas
    In this paper, the scale mixture of the Gleser (SMG) distribution is introduced. This new distribution is the product of a scale mixture between the Gleser (G) distribution and the Beta(a, 1)distribution. The SMG distribution is an alternative to distributions with two parameters and a heavy right tail. We study its representation and some basic properties, maximum likelihood inference, and Fisher ’s information matrix. We present an application to a real dataset in which the SMG distribution shows a better fit than two other known distributions