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Density Approximations for Multivariate Affine Jump-Diffusion Processes
Affine Processes Asymptotic Expansion Density Approximation
2011/7/25
Abstract: We introduce closed-form transition density expansions for multivariate affine jump-diffusion processes. The expansions rely on a general approximation theory which we develop in weighted Hi...
Nonparametric methods for volatility density estimation
stochastic volatility models deconvolution density estimation kernel estimator wavelets minimum contrast estimation
2010/11/2
Stochastic volatility modelling of nancial processes has become increasingly popular. The proposed models usually contain a stationary volatility process. We will motivate and review several nonparam...
Bayesian inference with an adaptive proposal density for GARCH models
Bayesian inference adaptive proposal GARCH models
2010/11/2
We perform the Bayesian inference of a GARCH model by the Metropolis-Hastings algorithm with an adaptive proposal density. The adaptive proposal density is assumed to be the Student’s t-distribution a...