Displaying similar documents to “Bayes estimation of the reliability function and hazard rate of a Weibull failure time distribution.”

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.

Approximate Bayesian methods.

Dennis V. Lindley (1980)

Trabajos de Estadística e Investigación Operativa

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This paper develops asymptotic expensions for the ratios of integrals that occur in Bayesian analysis: for example, the posterior mean. The first term omitted is 0(n) and it is shown how the term 0(n) can be of importance.

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,...

A Bayesian analysis of classical hypotheses testing.

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.

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).

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).