... Google Scholar. Otros documentos del autor: Martín Municio, A. - Espasa, Antoni - Girón, J. ... more ... Google Scholar. Otros documentos del autor: Martín Municio, A. - Espasa, Antoni - Girón, J. - Peña, Daniel. Ficheros en este Item: index.html, 2008-12-16INVISIBLE, 246 B, HTML, formato html. Título: El valor económico de la lengua española. ...
Clustering is an important and challenging statistical problem for which there is an extensive li... more Clustering is an important and challenging statistical problem for which there is an extensive literature. Modelling approaches include mixture models and product partition models. Here we develop a product partition model and search algorithm driven by Bayes factors from intrinsic priors. The priors we develop for the partitions, and the number of clusters in the partition, lead to finding partitions with a smaller number of clusters, which does not happen if a uniform prior is used. We argue that this is desirable, since one reason for doing a cluster analysis is to find a small number of clusters that can help to understand underlying structure. Moreover, we are also able to establish that our procedure is consistent, and hence will find the true underlying structure as the sample size increases. We illustrate our cluster algorithm with both simulated and real examples. Distinguished Professor, Department of Statistics, University of Florida, Gainesville, FL 32611. Supported by N...
In this paper we extend the pairwise consistency of the Bayesian procedure to the entire class of... more In this paper we extend the pairwise consistency of the Bayesian procedure to the entire class of linear models when the number of regressors grows as thesample size grows, and it is seen that for establishing consistency both the prior overthe model parameters and the prior over the models play now an important role. Wewill show that commonly used Bayesian procedures with non–fully Bayes priors formodels and for model parameters are inconsistent, and that fully Bayes versions ofthese priors correct this undesirable behavior.
After a brief description of the dynamic systems of ageing wines and spirits known as “fractional... more After a brief description of the dynamic systems of ageing wines and spirits known as “fractional blending systems” or “criaderas and solera” systems, a general mathematical model is presented to determine, on the one hand, the distribution of the age of liquids of all the scales of the system and, on the other hand, the mean or average age of the liquids as the system is run. A theorem on the existence of an asymptotic equilibrium distribution of the “fractional blending systems” is given. This result refers to the existence of a unique asymptotic distribution of the ages which turns out to be a generalization of the Pascal distribution. This, in turn, implies the existence and uniqueness of an equilibrium mean or average of the ages.
Hypothesis testing is a model,selection problem,for which,the solution proposed,by the two main s... more Hypothesis testing is a model,selection problem,for which,the solution proposed,by the two main statistical streams of thought, frequentists and Bayesians, substantially differ. One may think that this fact might be due to the prior chosen,in the Bayesian analysis and that a convenient prior selection may reconcile both approaches. However, the Bayesian robustness viewpoint has shown that, in general, this is
This paper provides an estimate of the contribution of the Spanish language to the GDP and the Em... more This paper provides an estimate of the contribution of the Spanish language to the GDP and the Employment in Spain obtained by applying different procedures based on the combination of macroeconomic tools and techniques such as the National Account data and the Input- Output Tables, the segmentation of the handwork through productive occupations and the application of the theory of
The Bayesian analysis of the variable selection problem in linear regression when using objective... more The Bayesian analysis of the variable selection problem in linear regression when using objective priors needs some form of encompassing the class of all submodels of the full linear model as they are nonnested models. After we provide a nested setting, objective intrinsic priors suitable for computing model posterior probabilities, on which the selection is based, can be derived. The
Abstract The examination of mammograms along with some (historical) information on the patients l... more Abstract The examination of mammograms along with some (historical) information on the patients lead physicians, in some informal way, to declare a patient as having or not breast cancer. This diagnostic is usually based on historical variables, such as age, familiar ...
... Google Scholar. Otros documentos del autor: Martín Municio, A. - Espasa, Antoni - Girón, J. ... more ... Google Scholar. Otros documentos del autor: Martín Municio, A. - Espasa, Antoni - Girón, J. - Peña, Daniel. Ficheros en este Item: index.html, 2008-12-16INVISIBLE, 246 B, HTML, formato html. Título: El valor económico de la lengua española. ...
Clustering is an important and challenging statistical problem for which there is an extensive li... more Clustering is an important and challenging statistical problem for which there is an extensive literature. Modelling approaches include mixture models and product partition models. Here we develop a product partition model and search algorithm driven by Bayes factors from intrinsic priors. The priors we develop for the partitions, and the number of clusters in the partition, lead to finding partitions with a smaller number of clusters, which does not happen if a uniform prior is used. We argue that this is desirable, since one reason for doing a cluster analysis is to find a small number of clusters that can help to understand underlying structure. Moreover, we are also able to establish that our procedure is consistent, and hence will find the true underlying structure as the sample size increases. We illustrate our cluster algorithm with both simulated and real examples. Distinguished Professor, Department of Statistics, University of Florida, Gainesville, FL 32611. Supported by N...
In this paper we extend the pairwise consistency of the Bayesian procedure to the entire class of... more In this paper we extend the pairwise consistency of the Bayesian procedure to the entire class of linear models when the number of regressors grows as thesample size grows, and it is seen that for establishing consistency both the prior overthe model parameters and the prior over the models play now an important role. Wewill show that commonly used Bayesian procedures with non–fully Bayes priors formodels and for model parameters are inconsistent, and that fully Bayes versions ofthese priors correct this undesirable behavior.
After a brief description of the dynamic systems of ageing wines and spirits known as “fractional... more After a brief description of the dynamic systems of ageing wines and spirits known as “fractional blending systems” or “criaderas and solera” systems, a general mathematical model is presented to determine, on the one hand, the distribution of the age of liquids of all the scales of the system and, on the other hand, the mean or average age of the liquids as the system is run. A theorem on the existence of an asymptotic equilibrium distribution of the “fractional blending systems” is given. This result refers to the existence of a unique asymptotic distribution of the ages which turns out to be a generalization of the Pascal distribution. This, in turn, implies the existence and uniqueness of an equilibrium mean or average of the ages.
Hypothesis testing is a model,selection problem,for which,the solution proposed,by the two main s... more Hypothesis testing is a model,selection problem,for which,the solution proposed,by the two main statistical streams of thought, frequentists and Bayesians, substantially differ. One may think that this fact might be due to the prior chosen,in the Bayesian analysis and that a convenient prior selection may reconcile both approaches. However, the Bayesian robustness viewpoint has shown that, in general, this is
This paper provides an estimate of the contribution of the Spanish language to the GDP and the Em... more This paper provides an estimate of the contribution of the Spanish language to the GDP and the Employment in Spain obtained by applying different procedures based on the combination of macroeconomic tools and techniques such as the National Account data and the Input- Output Tables, the segmentation of the handwork through productive occupations and the application of the theory of
The Bayesian analysis of the variable selection problem in linear regression when using objective... more The Bayesian analysis of the variable selection problem in linear regression when using objective priors needs some form of encompassing the class of all submodels of the full linear model as they are nonnested models. After we provide a nested setting, objective intrinsic priors suitable for computing model posterior probabilities, on which the selection is based, can be derived. The
Abstract The examination of mammograms along with some (historical) information on the patients l... more Abstract The examination of mammograms along with some (historical) information on the patients lead physicians, in some informal way, to declare a patient as having or not breast cancer. This diagnostic is usually based on historical variables, such as age, familiar ...
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