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Para un problema de localización en una hipótesis nula puntual se relaciona el p-valor con la probabilidad final de la hipótesis nula, cuando la distribución inicial se escoge convenientemente. Se generalizan estos resultados al caso de distribu[...]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
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
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
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
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[...]texto impreso
Martínez de Toda Cabeza, Irene ; Vida, Carmen ; Sanz San Miguel, Luis ; Fuente del Rey, Mónica de la | Hindawi | 2019-06-02According to the oxidative-inflammatory theory of aging, there is a link between the function, the oxidative-inflammatory stress state of immune cells, and longevity. However, it is unknown which immune cell parameters can predict lifespan and i[...]texto impreso
In the problem of testing the point null hypothesis H-0: theta = theta(0) versus H-1: theta not equal theta(0), with a previously given prior density for the parameter theta, we propose the following methodology: to fix an interval of radius eps[...]texto impreso
Gómez Villegas, Miguel A. ; Sanz San Miguel, Luis | Real Academia Ciencias Exactas Físicas Y Naturales | 2003The problem of testing a point null hypothesis from the Bayesian perspective is considered. The uncertainties are modelled through use of "{contamination class with the class of contaminations including: i) All unimodal distributions and ii). Al[...]texto impreso
Martínez de Toda Cabeza, Irene ; Vida, Carmen ; Sanz San Miguel, Luis ; Fuente del Rey, Mónica de la | Elsevier | 2019-09The identification of predictive markers of life span would help to unravel the underlying mechanisms influencing ageing and longevity. For this aim, 30 variables including immune functions, inflammatory-oxidative stress state and behavioural ch[...]
