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Estimation of nonlinear ARX models

Proceedings of the 41st IEEE Conference on Decision and Control, 2002., 2003
Estimation of some nonlinear ARX (NARX) models is studied. First the model structures are discussed and their numerical tractability examined. Three NARX models axe proposed. Parameter estimation is solved for the three models. A relaxation iteration scheme is proposed by using the model structures in which the error is bilinear-in-parameters.
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Nonlinear Estimation.

Biometrics, 1991
F. Liese, G. J. S. Ross
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Estimates for nonlinear parabolic equations.

2000
Summary: We study smooth non-negative solutions of the equation \(u_t=\partial_j a_j(u,\nabla u)+a_0(u,\Delta u)\) in the strip \(S_T= \mathbb{R}^d\times (0,T)\), \(d\geq 1\). A regularizing effect, pointwise estimates and gradient estimates are obtained.
Fabricant, A., Marinov, M., Rangelov, T.
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Nonlinear estimation

2020
Pierre Thijssen, Sillas Hadjiloucas
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Nonlinear Systems and Nonlinear Estimation Theory

1981
This research was supported in part by the Army Research Office under Grant DAAG29-76-C-0139, the U.S. Office of Naval Research under the Joint Services Electronics Program Contract N00014–75-C-0648 and the National Science Foundation under Grant ENG-79–09459.
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Nonlinear Estimation

1999
E. W. Kamen, J. K. Su
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On adaptive estimation in nonlinear regression

Kybernetika, 1994
Summary: To study adaptive estimators for the regression parameter we embed the usual nonlinear regression model in a semiparametric one. The parameter of interest is the finite dimensional regression parameter and the unknown density of the error distribution is the infinite dimensional nuisance parameter.
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