A new approach to unbiased estimation for SDE's
Computational Finance
2012-07-11 v1 Probability
Abstract
In this paper, we introduce a new approach to constructing unbiased estimators when computing expectations of path functionals associated with stochastic differential equations (SDEs). Our randomization idea is closely related to multi-level Monte Carlo and provides a simple mechanism for constructing a finite variance unbiased estimator with "square root convergence rate" whenever one has available a scheme that produces strong error of order greater than 1/2 for the path functional under consideration.
Cite
@article{arxiv.1207.2452,
title = {A new approach to unbiased estimation for SDE's},
author = {Chang-han Rhee and Peter W. Glynn},
journal= {arXiv preprint arXiv:1207.2452},
year = {2012}
}