Observed diffusion processes (with discussion).

Beskos, Alexandros and Papaspiliopoulos, Omiros and Roberts, Gareth O. and Fearnhead, Paul (2006) Observed diffusion processes (with discussion). Journal of the Royal Statistical Society: Series B (Statistical Methodology), 68 (3). pp. 333-382. ISSN 1369-7412

Abstract

The objective of the paper is to present a novel methodology for likelihood-based inference for discretely observed diffusions. We propose Monte Carlo methods, which build on recent advances on the exact simulation of diffusions, for performing maximum likelihood and Bayesian estimation.