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Inference in Infinite Superpositions of Non-Gaussian Ornstein-Uhlenbeck Processes Using Bayesian Nonparametric Methods

Jim Griffin (University of Kent)
18/03/11


This talk will describe a Bayesian nonparametric approach to volatility estimation in financial time series. Volatility is assumed to follow a superposition of an infinite number of Ornstein-Uhlenbeck processes driven by a compound Poisson process with a nonparametric jump size distribution. This model allows a wide range of possible temporal dependencies and marginal distributions for volatility. The properties of the model and prior specification for Bayesian inference will be discussed. The model is fitted to daily returns of several indices.

Paper is available from here


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[Last modified: Mar. 15th 2011 by Kostas Kalogeropoulos]