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Bayesian Inference for Time Series with Stable Innovations

Zuqiang Qiou and Nalini Ravishanker

Journal of Time Series Analysis, 1998, vol. 19, issue 2, 235-249

Abstract: This paper describes Bayesian inference for a linear time series model with stable innovations. An advantage of the Bayesian approach is that it enables the simultaneous estimation of the parameters characterizing the stable law and the parameters of the linear autoregressive moving‐average model. Our approach uses a Metropolis–Hastings algorithm to generate samples from the joint posterior distribution of all the parameters and subsequent inference is based on these samples. We illustrate our approach using data simulated from three linear processes with stable innovations and a real data set

Date: 1998
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