Robust estimation and testing for general nonlinear regression models

DOI10.1016/0096-3003(93)90014-6zbMath0774.62066OpenAlexW1991611201MaRDI QIDQ687206

Ioannis K. Argyros, Mohammad A. Tabatabai

Publication date: 17 October 1993

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(93)90014-6

zbMATH Keywords

algorithmsnumerical examplerobust estimatesmodified Gauss-Newton methodfinite-dimensional spacesgeneral nonlinear modelsinsensitive to outlierssolving systems of nonlinear equationstau estimates

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Robustness and adaptive procedures (parametric inference) (62F35) General nonlinear regression (62J02) Probabilistic methods, stochastic differential equations (65C99)

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Cites Work

• The Modified Gauss-Newton Method for the Fitting of Non-Linear Regression Functions by Least Squares
• A Modified winsorized regression procedure for linear models
• The majorant method in the theory of newton-kantorovich approximations and the pták error estimates
• Newton-like methods under mild differentiability conditions with error analysis
• Convergence domains of certain iterative methods for solving nonlinear equations
• High Breakdown-Point Estimates of Regression by Means of the Minimization of an Efficient Scale
• An Algorithm for Least-Squares Estimation of Nonlinear Parameters
• A method for the solution of certain non-linear problems in least squares
• Robust Statistics
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