Model Estimation and Analysis: Nonlinear and Loglinear Regression Models

Nonlinear least squares

  • Estimators
    • Nonlinear instrumental variables
    • Efficient GMM
    • Weighted nonlinear least squares
  • Model specification
    • Recursive function definition
    • Analytic or numeric derivatives
    • All algebraic operators and any level of parentheses
    • Matrix bilinear and quadratic forms
    • Mathematical functions (exp, sin, phi, gma, etc.)
    • Univariate and bivariate normal integrals
    • Hermite and Laguerre quadrature
    • Simulation estimation
    • Fixed parameters
    • Several algorithms
  • Robust standard errors (White, Newey-West)
  • Box-Cox regression
  • Nonlinear 2SLS, IV, GMM
  • Retain all results for post estimation

Nonlinear systems of equations

  • Nonlinear least squares
  • Instrumental variables
  • Efficient GMM estimation

Loglinear models (‘generalized linear models - GLM’)

  • Weibull regression
  • Inverse Gaussian regression
  • Exponential regression
  • Gamma regression
  • Beta regression
  • Binomial regression model (All are supported for cross section, fixed effects, random effects, random parameters, latent class formulations.)

Time series models

  • ARIMA - Box Jenkins
  • ARMAX nonlinear least squares
  • Residual plots
  • Plot fitted values
  • Geometric lag model
  • Stability analysis for dynamic equations