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Autor Gómez Villegas, Miguel A. |
Documentos disponibles escritos por este autor (42)
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An r x s table is used for different approaches to statistical inference. We develop a Bayesian procedure to test simple null hypotheses versus bilateral alternatives in contingency tables. We consider testing equality of proportions of independ[...]![]()
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In this paper the problem of testing a point null hypothesis from the Bayesian perspective and the relation between this and the classical approach is studied. A procedure to determine the mixed prior distribution is introduced and a justificati[...]![]()
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Gómez Villegas, Miguel A. ; Main Yaque, Paloma ; Navarro Veguillas, Hilario ; Susi, Rosario | Pergamon-Elsevier | 2011In this work, we evaluate the sensitivity of Gaussian Bayesian networks to perturbations or uncertainties in the regression coefficients of the network arcs and the conditional distributions of the variables. The Kullback–Leibler divergence mea[...]![]()
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To evaluate the impact of model inaccuracies over the network’s output, after the evidence propagation, in a Gaussian Bayesian network, a sensitivity measure is introduced. This sensitivity measure is the Kullback–Leibler divergence and yields d[...]![]()
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In this work we study robustness in Bayesian models through a generalization of the Normal distribution. We show new appropriate techniques in order to deal with this distribution in Bayesian inference. Then we propose two approaches to decide, [...]![]()
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A Bayesian test for H-0: = (0) versus H-1: (0) is developed. The methodology consists of fixing a sphere of radius around (0), assigning to H-0 a prior mass, (0), computed by integrating a density function () over this sphere, and spreading the [...]![]()
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To determine the effect of a set of inaccurate parameters in Gaussian Bayesian networks, it is necessary to study the sensitive of the model. With this aim we propose a sensitivity analysis based on comparing two differents models: the original [...]![]()
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Gómez Sánchez-Manzano, Eusebio ; Gómez Villegas, Miguel A. ; Marín Diazaraque, Juan Miguel | Marcel Dekker Inc. | 2002-12-12This paper proposes a matrix variate generalization of the power exponential distribution family, which can be useful in generalizing statistical procedures in multivariate analysis and in designing robust alternatives to them. An example is add[...]![]()
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Gómez Villegas, Miguel A. ; Gómez Sánchez-Manzano, Eusebio ; Marín Diazaraque, Juan Miguel | Marcel Dekker | 2008It is shown that a multivariate exponential power distribution is a scale mixture of normal distributions, with respect to a probability distribution function, when its kurtosis parameter belongs to the interval (0,1]. The corresponding mixing p[...]![]()
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This paper introduces a n-way sensitivity analysis for Gaussian Bayesian networks where it studies the joint effect of variations in a set of similar parameters. The aim is to determine the sensitivity of the model when the parameters that desc[...]![]()
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En este artículo se pretende justifcar por qué se debe utilizar la aproximación bayesiana a la inferencia estadística. Como anunciaba Lindley en el primer Congreso Internacional de Estadística Bayesiana, falta menos para el 2021 año en el que el[...]![]()
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The display of the data by means of contingency tables is used for discussing different approaches to statistical inference. We develop a Bayesian procedure for the homogeneity testing problem of r populations using r × s contingency tables. Th[...]![]()
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For the point null hypothesis testing problem it is shown that, in some situations, the classical evidence againstH 0, expressed in terms of the p-value, is in the range of Bayesian measures of evidence. In these situations, it is therefore poss[...]![]()
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