The paper deals with the quickest detection of a change of the drift of the Brownian motion. We show that the generalized Bayesian formulation of the quickest detection problem can be reduced to the optimal stopping problem for a diffusion Markov process...
Keywords: Brownian motion, disorder, generalized Bayesian and minimax formulations of the quickest detection problem, optimal stopping, asymptotical optimality
04/2006 | Statistics & Decisions, Oldenbourg WissenschaftsverlagWe present an approximation method for discrete time nonlinear filtering in view of solving dynamic optimization problems under partial information...
Keywords: Nonlinear filtering, Markov chain, quantization, stochastic gradient descent, Monte Carlo simulations, partial observation, optimal stopping
03/2005 | Monte Carlo Methods and Applications, Walter de Gruyter