Convergence rates for empirical Bayes two-action problems: The uniform distribution.
Tahir, Mohamed (1992)
Journal of Applied Mathematics and Stochastic Analysis
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Tahir, Mohamed (1992)
Journal of Applied Mathematics and Stochastic Analysis
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Ghitany, M.E. (1990)
International Journal of Mathematics and Mathematical Sciences
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Philip J. Brown, Michael Goldstein, José M. Bernardo, A. Philip Dawid, Simon French, Irving John Good, Jerzy Gren, Anthony O'Hagan (1980)
Trabajos de Estadística e Investigación Operativa
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Discussion on the papers by Mouchart, Michel and Simar, Léopold, Least squares approximation in Bayesian analysis and by Lindley, Dennis V., Approximate Bayesian methods, both of them part of a round table on Approximations held in the First International Congress on Bayesian Methods (Valencia, Spain, 28 May - 2 June 1979).
K. R. W. BREWER (1999)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Camara, Vincent A.R., Tsokos, Chris P. (1999)
Mathematical Problems in Engineering
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José M. Bernardo (1980)
Trabajos de Estadística e Investigación Operativa
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The procedure of maximizing the missing information is applied to derive reference posterior probabilities for null hypotheses. The results shed further light on Lindley's paradox and suggest that a Bayesian interpretation of classical hypothesis testing is possible by providing a one-to-one approximate relationship between significance levels and posterior probabilities.
Miguel Angel Gómez-Villegas, Luís Sanz (2003)
RACSAM
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The problem of testing a point null hypothesis from the Bayesian perspective is considered. The uncertainties are modelled through use of ε?contamination class with the class of contaminations including: i) All unimodal distributions and ii) All unimodal and symmetric distributions. Over these classes, the infimum of the posterior probability of the point null hypothesis is computed and compared with the p?value and a better approach than the one known is obtained.
Francisco Javier Girón, Sixto Ríos (1980)
Trabajos de Estadística e Investigación Operativa
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In this paper the theoretical and practical implications of dropping -from the basic Bayesian coherence principles- the assumption of comparability of every pair of acts is examined. The resulting theory is shown to be still perfectly coherent and has Bayesian theory as a particular case. In particular we question the need of weakening or ruling out some of the axioms that constitute the coherence principles; what are their practical implications; how this drive to the notion of partial...
Edwin T. Jaynes, David J. Spiegelhalter, Hirotugu Akaike, Arthur P. Dempster, James M. Dickey, Seymour Geisser, Irving John Good, Dennis V. Lindley, Anthony O'Hagan, Arnold Zellner (1980)
Trabajos de Estadística e Investigación Operativa
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Discussion on the papers by Zellner, Arnold and Siow, Aloysius, Posterior odds ratios for selected regression hypotheses and by Bernardo, José M., A Bayesian analysis of classical hypotheses testing, both of them part of a round table on Hypothesis testing held in the First International Congress on Bayesian Methods (Valencia, Spain, 28 May - 2 June 1979).
Sanjoy K. Sinha (1986)
Trabajos de Estadística
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Given the recorded life times from a Weibull distribution, Bayes estimates of the reliability function and hazard rate are obtained using the posterior distributions and some recent results on Bayesian approximations due to Lindley (1980). Based on a Monte Carlo study, these estimates are compared with their maximum likelihood counterparts.
Irving John Good (1980)
Trabajos de Estadística e Investigación Operativa
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A standard tecnique in subjective Bayesian methodology is for a subject (you) to make judgements of the probabilities that a physical probability lies in various intervals. In the Bayesian hierarchical technique you make probability judgements (of a higher type, order, level or stage) concerning the judgements of lower type. The paper will outline some of the history of this hierarchical technique with emphasis on the contributions by I. J. Good because I have read every word written...