Remarks on some linear fractional stochastic equations
概率论
2007-05-23 v1
摘要
Using the multiple stochastic integrals we prove an existence and uniqueness result for a linear stochastic equation driven by the fractional Brownian motion with any Hurst parameter. We study both the one parameter and two parameter cases. When the drift is zero, we show that in the one-parameter case the solution in an exponential, thus positive, function while in the two-parameter settings the solution is negative on a non-negligible set.
引用
@article{arxiv.math/0511383,
title = {Remarks on some linear fractional stochastic equations},
author = {Ivan Nourdin and Ciprian A. Tudor},
journal= {arXiv preprint arXiv:math/0511383},
year = {2007}
}