On the construction of stationary AR(1) models via random distributions

Contreras-Cristan, Alberto and Mena, Ramses H. and Walker, Stephen G. (2009) On the construction of stationary AR(1) models via random distributions. Statistics, 43 (3). pp. 227-240. ISSN 0233-1888. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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We explore a method for constructing first-order stationary autoregressive-type models with given marginal distributions. We impose the underlying dependence structure in the model using Bayesian non-parametric predictive distributions. This approach allows for nonlinear dependency and at the same time works for any choice of marginal distribution. In particular, we look at the case of discrete-valued models; that is the marginal distributions are supported on the non-negative integers.

Item Type: Article
Uncontrolled keywords: AR model; Beta-Stacy process; Bayesian non-parametrics; discrete-valued time series; Plya trees; stationary process
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Statistics
Depositing User: Judith Broom
Date Deposited: 17 Mar 2009 15:44
Last Modified: 25 Jun 2014 10:37
Resource URI: https://kar.kent.ac.uk/id/eprint/12680 (The current URI for this page, for reference purposes)
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