Nonlinear statistical models
Practical methods of optimization; (2nd ed.)
Practical methods of optimization; (2nd ed.)
A modified Newton method for constrained estimation in covariance structure analysis
Computational Statistics & Data Analysis
Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)
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Constrained Maximum Likelihood (CML), developed at AptechSystems, generates maximum likelihood estimates with generalparametric constraints (linear or nonlinear, equality orinequality), using the sequential quadratic programming method.CML computes two classes of confidence intervals,by inversion of the Wald and likelihood ratio statistics, and by simulation. The inversion techniques can producemisleading test sizes, but Monte Carlo evidence suggests thisproblem can be corrected under certain circumstances.