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Default Bayesian Priors for Regression Models with First-Order Autoregressive Residuals
Authors:Malay Ghosh   Jungeun Heo
Affiliation:University of Florida
Abstract:Abstract. The objective of this paper is to develop default priors when the parameter of interest is the autocorrelation coefficient in normal regression models with first-order autoregressive residuals. Jeffreys' prior as well as reference priors are found. These priors are compared in the light of how accurately the coverage probabilities of Bayesian credible intervals match the corresponding frequentist coverage probabilities. It is found that the reference priors have a definite edge over Jeffreys' prior in this respect. Also, the credible intervals based on these reference priors seem superior to similar intervals based on certain divergence measures.
Keywords:Jeffreys' prior    two-group reference prior    three-group reference prior    divergence measure    HPD credible interval
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