Dear all, There has been a change in the title and abstract of Simon Godsill's talk. Details are given below. Apologies for the change at this late change. Institute of Mathematics and Statistics, University of Kent at Canterbury, Statistics Seminar -- Trinity Term 1999 Thursday, 1st July 1999 2:00pm Dr Simon Godsill (Cambridge University) Title: Bayesian inference for time series with heavy-tailed symmetric $\alpha$-stable noise processes Abstract: In this paper we present both stochastic and deterministic iterative methods for inference about random processes with symmetric stable innovations. The proposed methods use a scale mixtures of normals (SMiN) representation of the symmetric stable law to express the processes in conditionally Gaussian form. This allows standard procedures for dealing with the Gaussian case to be re-used directly as part of the scheme. In contrast with other recently published work on the topic, we propose a novel hybrid rejection sampling method for simulating the scale parameters from their full conditional distributions, making use of asymptotic approximations for the tail of a positive stable distribution when rejection rates are too high. This hybrid approach leads to improved performance compared with straightforward rejection sampling or Metropolis-Hastings (M-H) approaches. The methods can be applied to any model with symmetric stable terms, but we illustrate their application to linear models and present simulations for AR time series with symmetric stable innovations. **************** Further details of the seminar programme and abstracts of forthcoming talks are available from: http://www.ukc.ac.uk/IMS/statistics/people/T.Sapatinas/Seminars/ seminars.html All are very welcome. The Statistics Seminars will be held in Mathematics Lecture Theatre in the Institute of Mathematics and Statistics, Cornwallis Building. The following WWW page contain details of how to get to the campus, and how to find your way around: http://www.ukc.ac.uk/ukc/location.html ================================================================ Dr Theofanis Sapatinas, Lecturer in Statistics, Postal Address: Institute of Mathematics and Statistics, University of Kent at Canterbury, Canterbury, Kent CT2 7NF, United Kingdom. Tel: ++(44)-1227-827253 Fax: ++(44)-1227-827932 Email: [log in to unmask] URL: http://www.ukc.ac.uk/IMS/statistics/people/T.Sapatinas/ ================================================================ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%