25 research outputs found

    Parameter induction in continuous univariate distributions: Well-established G families

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    Modeling hydrologic data by means of re-parametrization of Beta-Singh-Maddala distribution

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    In this paper we propose a new parametrization of the four-parameters Beta-Singh-Maddala distribution suitable for the context of hydrologic studies. With this aim, we reparameterize the Beta-Singh-Maddala distribution to make its parameters directly interpretable in terms of measures much more relevant for their practical use than the classical shape, location and scale parameters of the parametric families generally used for modeling hydrologic events. Moreover, in order to evaluate how climatic or physic characteristics could affect these measures, we will express them as functions of a set of covariates that could have an effect separately and/or simultaneously

    Copula-based properties of the bivariate Dagum distribution

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    The Dagum distribution plays an important role both in statistical theory and in economics as a model for income distribution. The main goal of this paper was to develop a bivariate extension of the Dagum distribution and study its distributional properties. Also we will study its dependence properties using copula function. Also we derive the cumulative distribution function and probability density function of the maximum and minimum of the bivariate Dagum order statistics. We estimate the parameters of the distribution and demonstrate it on a real data example. © 2018, SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional

    Trivariate Burr-III copula with applications to income data

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