The paper obtains two principal results. First, using a new definition of higher-order (2) matrix derivatives, the paper derives a recursion for computing any Gaussian multivariate moment. Second, the paper uses this result in a perturbation method to derive equations for computing the 4th-order...

This paper describes an application of numerical methods to solve a continuous time non-linear optimal growth model with technology adoption. In the model, a non-convex production function arises from a threshold level of knowledge required to operate new technology. The study explains and...

The paper obtains two principal results. First, using a new definition ofhigher-order (2) matrix derivatives, the paper derives a recursion forcomputing any Gaussian multivariate moment. Second, the paper uses this resultin a perturbation method to derive equations for computing the...