An improved Bayes empirical Bayes estimator.
Karunamuni, R.J., Prasad, N.G.N. (2003)
International Journal of Mathematics and Mathematical Sciences
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Karunamuni, R.J., Prasad, N.G.N. (2003)
International Journal of Mathematics and Mathematical Sciences
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Teresa H. Jelenkowska (1998)
Applications of Mathematics
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The method of determining Bayesian estimators for the special ratios of variance components called the intraclass correlation coefficients is presented. The exact posterior distribution for these ratios of variance components is obtained. The approximate posterior mean of this distribution is also derived. All computations are non-iterative and avoid numerical integration.
Samir K. Bhattacharya, K. Tyagi Ravinder (1990)
Trabajos de Estadística
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In this paper, the Bayesian analysis of the survival data arising from a Rayleigh model is carried out under the assumption that the clinical study based on n patients is terminated at the d death, for some preassigned d (0 < d ≤ n), resulting in the survival times t ≤ t ≤ ... ≤ t, and (n - d) survivors. For the prior knowledge about the Rayleigh parameter, the gamma density, the inverted gamma density, and the beta density of the second kind are respectively assumed, and for...
Ghitany, M.E. (1990)
International Journal of Mathematics and Mathematical Sciences
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S. Zacks (1982)
Statistique et analyse des données
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S. James Press (1980)
Trabajos de Estadística e Investigación Operativa
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This paper considers the problem of making statistical inferences about group judgements and group decisions using Qualitative Controlled Feedback, from the Bayesian point of view. The qualitative controlled feedback procedure was first introduced by Press (1978), for a single question of interest. The procedure in first reviewed here including the extension of the model to the multiple question case. We develop a model for responses of the panel on each stage. Many questions are treated...
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.
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.
Samir K. Bhattacharya, Ravinder K. Tyagi (1991)
Trabajos de Estadística
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This paper discusses the Bayesian reliability analysis for an exponential failure mode on the basis of some ordered observations when the first p observations may represent early failures or outliers. The Bayes estimators of the mean life and reliability are obtained for the underlying parametric model referred to as the SB(p) model under the assumption of the squared error loss function, the inverted gamma prior for scale parameter and a generalized uniform prior for the nuisance parameter. ...