Stability of Stochastic Approximation under Verifiable Conditions, SIAM Journal on Control and Optimization, vol.44, issue.1, pp.283-312, 2005. ,
DOI : 10.1137/S0363012902417267
URL : https://hal.archives-ouvertes.fr/hal-00023475
Adaptative Monte Carlo Method, A Variance Reduction Technique, Monte Carlo Methods and Applications, vol.10, issue.1, pp.1-24, 2004. ,
DOI : 10.1515/156939604323091180
Numerical methods for stochastic processes, Wiley Series in Probability and Mathematical Statistics, pp.0-471, 1994. ,
Efficient variance reduction for functionals of diffusions by relative entropy, technical report, 2004. ,
Adaptive algorithms and stochastic approximation, 22, Applications of Mathematics, transl. from French by S, 1990. ,
Stochastic Approximation Procedure with randomly varying truncations, Scientia Sinica Series, 1986. ,
Convergence and robustness of the Robbins-Monro algorithm truncated at randomly varying bounds, Stochastic Processes and their Applications, vol.27, issue.2, pp.217-231, 1988. ,
DOI : 10.1016/0304-4149(87)90039-1
Iterative random models, transl. from French, 1997. ,
Monte Carlo Methods in Financial Engineering, 2004. ,
DOI : 10.1007/978-0-387-21617-1
Asymptotically Optimal Importance Sampling and Stratification for Pricing Path-Dependent Options, Mathematical Finance, vol.9, issue.2, pp.117-152, 1999. ,
DOI : 10.1111/1467-9965.00065
Weak approximation of killed diffusion using Euler schemes, Stochastic Processes and their Applications, vol.87, issue.2, pp.167-197, 2000. ,
DOI : 10.1016/S0304-4149(99)00109-X
Optimal importance sampling parameter search for Lévy Processes via stochastic approximation, pre-print, 2008. ,
Stochastic Approximation and Recursive Algorithms and Applications, 2003. ,
Algorithmes stochastiques et Options parisiennes, p.151, 2007. ,
URL : https://hal.archives-ouvertes.fr/pastel-00003310
An adaptive scheme for the approximation of dissipative systems, Stochastic Processes and their Applications, vol.117, issue.10, pp.1491-1518, 2007. ,
DOI : 10.1016/j.spa.2007.02.004
URL : https://hal.archives-ouvertes.fr/hal-00004266
Continuous martingales and Brownian motion, 3 rd edition, 1990. ,
Asymptotic Almost Sure Efficiency of Averaged Stochastic Algorithms, SIAM Journal on Control and Optimization, vol.39, issue.1, pp.49-72, 2000. ,
DOI : 10.1137/S0363012998308169
Then |? n+1 ? ? * | 2 = |? n ? ? * | 2 ? 2? n+1 ? n ? ? * , H(? n, n+1 ) + ? 2 n+1 |H(? n , Z n+1 )| 2 , ? |? n ? ? * | 2 ? 2? n+1 ? n ? ? * , h(? n ) ? 2? n+1 ? n ? ? * , ?M n+1 + ? 2, p.1 ,