In this article we propose an adaptative variance reduction method for Monte Carlo simulations. The method uses
Keywords: Monte Carlo methods, variance reduction, Importance Sampling, RobbinsMonro algorithms, Martingales, Chen projection method
03/2004 | Monte Carlo Methods and Applications, Walter de GruyterSplitting is a widely known Monte Carlo variance reduction method (VRM). It has been successfully applied for a long time in Monte Carlo applications to neutral particles transport in Nuclear Engineering...
Keywords: Monte Carlo, variance reduction, Phase Space Splitting, Systems Reliability
06/2004 | Monte Carlo Methods and Applications, Walter de GruyterStochastic particle methods for the coagulation-fragmentation Smoluchowski equation are developed and a general variance reduction technique is suggested...
Keywords: Stochastic particle methods, Smoluchowski equation, variance reduction, coagulation-fragmentation process,
12/2003 | Monte Carlo Methods and Applications, Walter de GruyterIn this paper, we develop an importance sampling method with the help of flexible control on the Lévy measure in the density transformation...
Keywords: CGMY process, Esscher transform, Gamma process, Meixner process, Monte Carlo simulations, series representation, subordination, variance reduction
04/2006 | Monte Carlo Methods and Applications, Walter de GruyterThe Δ2-distribution is a multivariate distribution, which plays an important role in variance reduction of Monte Carlo integral evaluation...
Keywords: variance reduction, 2-distribution, reliability theory
08/2007 | Monte Carlo Methods and Applications, Walter de GruyterCombined control variates and importance sampling variance reduction and its two-fold optimality are investigated...
Keywords: Control variates, Girsanov theorem, Importance Sampling, Monte Carlo methods, stochastic approximation, two time scales, variance reduction
08/2007 | Monte Carlo Methods and Applications, Walter de Gruyter