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The multivariate exponential power family is considered for n-dimensional random variables, Z, with a known partition Z equivalent to (Y, X) of dimensions p and n - p, respectively, with interest focusing on the conditional distribution Y vertic[...]texto impreso
Gómez Villegas, Miguel A. ; Main Yaque, Paloma ; Sanz San Miguel, Luis ; Navarro Veguillas, Hilario | North Holland | 2004-01In this paper the asymptotic relationship between the classical p-value and the infimum (over all unimodal and symmetric distributions) of the posterior probability in the point null hypothesis testing problem is analyzed. It is shown that the r[...]texto impreso
In this article the problem of testing if r populations have the same distribution from a Bayesian perspective is studied using r × s contingency tables and ?–contaminated priors. A procedure to build a mixed prior distribution is introduced and[...]texto impreso
A Bayesian test for the point null testing problem in the multivariate case is developed. A procedure to get the mixed distribution using the prior density is suggested. For comparisons between the Bayesian and classical approaches, lower bounds[...]texto impreso
The display of the data by means of contingency tables is used in different approaches to statistical inference, for example, to broach the test of homogeneity of independent multinomial distributions. We develop a Bayesian procedure to test sim[...]texto impreso
Gómez Villegas, Miguel A. ; Ausin, A.C ; González Pérez, Beatriz ; Rodríguez-Bernal, María Teresa ; Salazar, I. ; Sanz San Miguel, Luis | Taylor & Francis | 2011Recently, the field of multiple hypothesis testing has experienced a great expansion, basically because of the new methods developed in the field of genomics. These new methods allow scientists to simultaneously process thousands of hypothesis [...]texto impreso
DeGregorio Vicente, Oscar ; González Pérez, Beatriz ; Gómez Villegas, Miguel A. | Asociación Nacional de Ingenieros Industriales de España | 2017Transport planning requires tool to model the current and future situation of an infrastructures network. In this way, different scenarios of passenger flows, vehicles or freight can be predicted and serve as information for decision making. One[...]texto impreso
DNA microarray experiments require the use of multiple hypothesis testing procedures because thousands of hypotheses are simultaneously tested. We deal with this problem from a Bayesian decision theory perspective. We propose a decision criterio[...]texto impreso
Gómez Villegas, Miguel A. ; Portela García-Miguel, Javier ; Sanz San Miguel, Luis | Taylor & Francis | 2008In this article, we deal with the problem of testing a point null hypothesis for the mean of a multivariate power exponential distribution. We study the conditions under which Bayesian and frequentist approaches can match. In this comparison it [...]texto impreso
En este trabajo se introduce una fórmula recursiva que permite calcular la matriz de covarianzas de una red Bayesiana Gaussiana dados los parámetros de la especificación condicionada de la parte cuantitativa del modelo. Además se determinan las [...]texto impreso
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We develop a Bayesian procedure for the homogeneity testing problem of r populations using r×s contingency tables. The posterior probability of the homogeneity null hypothesis is calculated using a mixed prior distribution. The methodology consi[...]texto impreso
This paper shows a practical and easy to compute generalization of the linear dynamic model, made by assuming a continuous elliptical joint distribution for the parameters and errors. Updated distribution and probabilistic characteristics of the[...]texto impreso
El trabajo consta de una introducción biográfica en el que se recogen las pocas cosas que se conocen de la vida de Thomas Bayes. A continuación se tratan los antecedentes del problema de la probabilidad inversa y se comenta el Ensayo. Se recogen[...]
