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Bayesian Inference of Autoregressive and Functional-Coefficient Moving Average Models

Hai-Bin Wang and Ping Wu

Communications in Statistics - Theory and Methods, 2015, vol. 44, issue 3, 453-467

Abstract: Based on free-knot splines techniques, we develop a fully Bayesian method to make inference about the autoregressive and functional-coefficient moving-average models, including estimation and prediction. We approximate different functional-coefficients by polynomial splines with different orders to adapt to different smoothness. To make the estimation and prediction robust, we assign heavy-tailed student-t priors on the coefficients of both the splines and the autoregressive terms. The posterior predictive distribution is derived from a Bayesian model average over all of the possible models. The proposed method is demonstrated by both simulated and real data examples.

Date: 2015
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DOI: 10.1080/03610926.2012.742110

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