1,721,095 research outputs found

    Weak exogeneity in misspecified sequential models

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    Time Series

    Reference priors in non-normal location problems

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    Bayesian Statistics;Statistical Distribution

    Bayesian inference in time series

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    Time Series

    Reference Priors For Non-Normal Two-Sample Problems

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    The reference prior algorithm (Berger and Bernardo, 1992) is applied to locationscale models with any regular sampling density. A number of two-sample problems is analyzed in this general context, extending the dierence, ratio and product of Normal means problems outside Normality, while explicitly considering possibly dierent sizes for each sample. Since the reference prior turns out to be improper in all cases, we examine existence of the resulting posterior distribution and its moments under sampling from scale mixtures of Normals. In the context of an empirical example, it is shown that a reference posterior analysis is numerically feasible and can display some sensitivity to the actual sampling distributions. This illustrates the practical importance of questioning the Normality assumption.Behrens-Fisher problem;Fieller-Creasy problem;Gibbs sampling;Jeffreys' prior;location-scale model;posterior existence;product of means;scale mixtures of normals;skewness

    Multivariate Student -t Regression Models: Pitfalls and Inference

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    We consider likelihood-based inference from multivariate regression models with independent Student-t errors. Some very intruiging pitfalls of both Bayesian and classical methods on the basis of point observations are uncovered. Bayesian inference may be precluded as a consequence of the coarse nature of the data. Global maximization of the likelihood function is a vacuous exercise since the likelihood function is unbounded as we tend to the boundary of the parameter space. A Bayesian analysis on the basis of set observations is proposed and illustrated by several examples.Bayesian inference;Coarse data;Continuous distribution;Maximum likelihood;Missing data;Scale mixture of Normals

    Hospital efficiency analysis through individual effects: A Bayesian approach

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    Monte Carlo Technique;Hospitals;Bayesian Statistics;Markov Chains;Panel Data
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