In a continuous-time model of capital accumulation, there are convexity or concavity conditions on benefit and cost functions which ensure that dynamical necessary conditions for optimality are also sufficient. Non-convexities can occur in various ways: the Hamiltonian can fail to be concave...

We perform an extensive series of Monte Carlo experiments to compare the performance of the "Jacknife Instrumental Variables Estimator", or JIVE, with that of the more familiar 2SLS and LIML estimators. We find no evidence to suggest that JIVE should ever be used. It is always more dispersed...

Simple techniques for the graphical display of simulation evidence concerning the size and power of hypothesis tests are developed and illustrated. Three types of figures - called P value plots, P value discrepancy plots, and size-power curves - are discussed. Some Monte Carlo experiments on the...

We develop a new form of the information matrix test for a wide variety of statistical models, and present full details for the special case of univariate nonlinear regression models. Chesher (1984) showed that the implicit alternative of the information matrix test is a model with random...

Bootstrap testing of nonlinear models normally requires at least one nonlinear estimation for every bootstrap sample. We show how to reduce computational costs by performing only a fixed, small number of Newton or quasi-Newton steps for each bootstrap sample. The number of steps is smaller for...