## Bayesian statistics 4: proceedings of the Fourth Valencia International Meeting, April 15-20, 1991The Valencia International Meetings on Bayesian Statistics, held every four years, provide the forum for researchers to come together to present and discuss frontier developments in the field. The resulting proceedings provide a definitive, up-to-date overview encompassing a wide range of theoretical and applied research. This fourth volume of proceedings is no exception. In particular, it reflects a growing emphasis on computational issues, concerned with making Bayesian methods routinely available to applied practitioners, both statisticians and other specialists whose work depends on careful quantification of uncertainties. The growing interest in Bayesian methods is revealed by the ever-increasing participation in the Valencia meetings. This, in turn, is reflected in the high quality of this work, which contains 30 invited papers by leading authorities and 33 refereed contributed papers, selected from over 150 presented at the meeting. |

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### Contents

Is our View of Bayesian Statistics too Narrow? | 1 |

A BAD View of Weighted Distributions | 17 |

Robust Sequential Prediction from Nonran | 61 |

Copyright | |

4 other sections not shown

### Common terms and phrases

A. F. M. Smith A. P. Dawid algorithm alternative application approximation assessment assumed asymptotic Bayes estimator Bayes factor Bayesian analysis Bayesian approach Bayesian inference Bayesian Statistics calculate choice coherence components compute consider convergence covariance Dawid and A. F. M. defined denote derivatives diagnostics discussion equation error evaluations evidence example expected exponential exponential family Figure frequentist Gelfand Gibbs sampler given hierarchical model hyperparameters hypothesis improper priors independent integration interest iterations J. M. Bernardo J. O. Berger likelihood function linear model marginal matrix mean measure methods mixture Monte Carlo multivariate noninformative priors normal distribution observations obtained optimal outliers P-value paper parameterization posterior density posterior distribution posterior probability predictive distribution prequential prior distribution problem procedure random variables ratio reference prior regression model Sacco sample Section sequence sequential simulation specific standard stochastic Table Theorem theory trial University Press vaccine values variance vector