Simon Fraser University

Example 14.1: OLS Single Nonlinear Equation

This example illustrates the use of the MODEL procedure for nonlinear ordinary least-squares (OLS) regression. The model is a logistic growth curve for the population of the United States. The data is ...
Simon Fraser University

Example 14.8: Nonlinear FIML Estimation

The data and model for this example were obtained from Bard (1974, p.133-138). The example is a two-equation econometric model used by Bodkin and Klein to fit U.S production data for the years ...
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The weakly nonlinear large-box limit of the 2D cubic nonlinear Schrödinger equation

Abstract We consider the cubic nonlinear Schrödinger (NLS) equation set on a two-dimensional box of size L with periodic boundary conditions. By taking the large-box limit L → ∞ in the weakly ...
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Penalized Nonlinear Least Squares Estimation of Time-Varying Parameters in Ordinary Differential Equations

Ordinary differential equations (ODEs) are widely used in biomedical research and other scientific areas to model complex dynamic systems. It is an important statistical problem to estimate parameters ...