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Displaying similar documents to “Approximate Bayesian methods.”

Approximations: Discussion.

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).

Bayes estimation of the reliability function and hazard rate of a Weibull failure time distribution.

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.

Likelihood and the Bayes procedure.

Hirotugu Akaike (1980)

Trabajos de Estadística e Investigación Operativa

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In this paper the likelihood function is considered to be the primary source of the objectivity of a Bayesian method. The necessity of using the expected behaviour of the likelihood function for the choice of the prior distribution is emphasized. Numerical examples, including seasonal adjustment of time series, are given to illustrate the practical utility of the common-sense approach to Bayesian statistics proposed in this paper.

Three methods for constructing reference prior distributions.

Eusebio Gómez Sánchez-Manzano, Miguel A. Gómez Villegas (1990)

Revista Matemática de la Universidad Complutense de Madrid

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Three methods are proposed for constructing reference prior densities for certain biparametric distribution families. These densities represent approximations to the Bayesian concept of noninformative distribution.

Predictive sample reuse: Discussion.

Irwin Guttman, S. James Press (1980)

Trabajos de Estadística e Investigación Operativa

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Discussion on the paper by Geisser, Seymour, Predictive sample reuse techniques for censored data, part of a round table on Bayesian and non-Bayesian conditional inference held in the First International Congress on Bayesian Methods (Valencia, Spain, 28 May - 2 June 1979).

Objective Bayesian point and region estimation in location-scale models.

José M. Bernardo (2007)

SORT

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Point and region estimation may both be described as specific decision problems. In point estimation, the action space is the set of possible values of the quantity on interest; in region estimation, the action space is the set of its possible credible regions. Foundations dictate that the solution to these decision problems must depend on both the utility function and the prior distribution. Estimators intended for general use should surely be invariant under one-to-one transformations,...

Pivotal inference and the Bayesian controversy.

George A. Barnard (1980)

Trabajos de Estadística e Investigación Operativa

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The theory of pivotal inference applies when parameters are defined by reference to their effect on observations rather than their effect on distributions. It is shown that pivotal inference embraces both Bayesian and frequentist reasoning.