I. Shoji et T. Ozaki, A STATISTICAL-METHOD OF ESTIMATION AND SIMULATION FOR SYSTEMS OF STOCHASTIC DIFFERENTIAL-EQUATIONS, Biometrika, 85(1), 1998, pp. 240-243
This paper proposes a new statistical method of estimation and simulat
ion for systems of stochastic differential equations. By using this me
thod, we can easily derive a discretised process from a system of stoc
hastic differential equations. The discretised process is tractable en
ough to simulate the system and to construct the likelihood which is u
sed to estimate the coefficients of the stochastic differential equati
ons from discrete observation.