Production capital and total factor productivity or technology are fundamental to understanding output and productivity growth, but are unobserved except at disaggregated levels and must be estimated before being used in empirical analysis. In this paper, we develop estimates of production...

Fourth-order multi-step perturbation (MSP) is described and applied as a general method for numerically solving nonlinear, differentiable, algebraic equations which are first-order conditions of economic optimization problems. MSP is first described at a general level and is, then, applied to...

Production capital and technology (i.e., total factor productivity) in US manufacturing are fundamental for understanding output and productivity growth of the US economy but are unobserved at this level of aggregation and must be estimated before being used in empirical analysis. Previously, we...

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...