aDepartment of Mathematics, Donghua University, Shanghai 200051, China;bDepartment of Mathematics, University of Kansas, Lawrence, Kansas 66045-2142, U.S.A.
Abstract:
Let Bt be an Ft Brownian motion and Gt be an enlargement of filtration of Ft from some Gaussian random variables. We obtain equations for ht such that Bt – ht is a Gt-Brownian motion.