Andre Acusta

Stochastic delay differential equations allow the stochastic differential equations to incorporate past data segments. They are widely used to solve systems having delay feedbacks. In the linear Gaussian case, the differential equations can be solved by computing the covariance functions through the double Laplace transform. It turns out that the solution can be decomposed into the sum of independent pieces. When the delay is small, its asymptotic covariance functions are derived.