Abstract

One method of approaching models represented by systems of stochastic ordinary differential equations is to consider the moment equations. This approach can be far more efficient than a Monte Carlo simulation or a finite-difference solution of the associated Fokker-Plank equation. However, a nonlinear system generates an infinite hierarchy of moment equations, which requires the adoption of some hierarchy truncation technique to facilitate solution. This paper considers a method of hierarchy truncation, based on the quasi-moments of the state-variables.

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