Heterogeneity and model uncertainty in Bayesian regression models.
A. JUSTEL and D. PEÑA (1999)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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A. JUSTEL and D. PEÑA (1999)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Peter R. Freeman (1980)
Trabajos de Estadística e Investigación Operativa
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This paper reviews models for the occurrence of outliers in data from the linear model. The Bayesian analyses are all closely similar in form, but differ in the way they treat suspected outliers. The models are compared on Darwin's data and one of them is used on data from a 25 factorial experiment. The question on how many outliers are present involves comparison of models with different number of parameters. A solution using proper priors on all parameters...
P. J. Harrison, Arnold Zellner (1980)
Trabajos de Estadística e Investigación Operativa
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Discussion on the papers by Brown, Philip J., Aspects of multivariate regression and by Dempster, Arthur P., Bayesian inference in applied statistics, both of them part of a round table on Regression and time series held in the First International Congress on Bayesian Methods (Valencia, Spain, 28 May - 2 June 1979).
William F. Eddy, Anthony O'Hagan, José M. Bernardo, Philip J. Brown, A. Philip Dawid, James M. Dickey, Irving John Good, Adrian F. M. Smith (1980)
Trabajos de Estadística e Investigación Operativa
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Discussion on the papers by Freeman, Peter R., On the number of outliers in data from a linear model and by Box, George E. P., Sampling inference, Bayes' inference and robustness in the advancement of learning, both of them part of a round table on Sensitivity to models held in the First International Congress on Bayesian Methods (Valencia, Spain, 28 May - 2 June 1979).
Edilberto Cepeda-Cuervo, Vicente Nunez-Anton (2007)
SORT
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We consider the joint modelling of the mean and covariance structures for the general antedependence model, estimating their parameters and the innovation variances in a longitudinal data context. We propose a new and computationally efficient classic estimation method based on the Fisher scoring algorithm to obtain the maximum likelihood estimates of the parameters. In addition, we also propose a new and innovative Bayesian methodology based on the Gibbs sampling, properly adapted for...
David Ríos Insua, Raquel Montes Díez, Jesús Palomo Martínez (2002)
RACSAM
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Hydrology and water resources management are inherently affected by uncertainty in many of their involved processes, including inflows, rainfall, water demand, evaporation, etc. Statistics plays, therefore, an essential role in their study. We review here some recent advances within Bayesian statistics and decision analysis which will have a profound impact in these fields.
Geliazkova, Maya (2010)
Serdica Journal of Computing
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We develop, implement and study a new Bayesian spatial mixture model (BSMM). The proposed BSMM allows for spatial structure in the binary activation indicators through a latent thresholded Gaussian Markov random field. We develop a Gibbs (MCMC) sampler to perform posterior inference on the model parameters, which then allows us to assess the posterior probabilities of activation for each voxel. One purpose of this article is to compare the HJ model and the BSMM in terms of receiver operating characteristics...
Stephen E. Fienberg, José M. Bernardo, Philip J. Brown, A. Philip Dawid, James M. Dickey, Joseph B. Kadane, Tom Leonard (1980)
Trabajos de Estadística e Investigación Operativa
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Discussion on the papers by Makov, Udi E., Approximation of unsupervised Bayes learning procedures, Smith, Adrian F. M., Change-Point problems: approaches and applications and by Harrison, P. J. and Smith Jim Q., Discontinuity, decision and conflict, the three of them part of a round table on Sequential learning, discontinuities and changes held in the First International Congress on Bayesian Methods (Valencia, Spain, 28 May - 2 June 1979).
Elías Moreno, F. Javier Girón, Francisco Torres (2003)
RACSAM
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Testing that some regression coefficients are equal to zero is an important problem in many applications. Homoscedasticity is not necessarily a realistic condition in this setting and, as a consequence, no frequentist test there exist. Approximate tests have been proposed. In this paper a Bayesian analysis of this problem is carried out, from a default Bayesian model choice perspective. Explicit expressions for intrinsic priors are provided, and it is shown that the corresponding Bayes...
Arthur P. Dempster (1980)
Trabajos de Estadística e Investigación Operativa
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The task of assessing posterior distributions from noisy empirical data imposes difficult requirements of modelling, computing and assessing sensitivity to model choice. Seasonal analysis of economic time series is used to illustrate ways of approaching such difficulties.