A comparison of linearization and quadratization domains

Anna Jenčová

Displaying similar documents to “A comparison of linearization and quadratization domains”

Linearization conditions for regression models with unknown variance parameter

Anna Jenčová (2000)

Applications of Mathematics

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In the case of the nonlinear regression model, methods and procedures have been developed to obtain estimates of the parameters. These methods are much more complicated than the procedures used if the model considered is linear. Moreover, unlike the linear case, the properties of the resulting estimators are unknown and usually depend on the true values of the estimated parameters. It is sometimes possible to approximate the nonlinear model by a linear one and use the much more developed...

A choice of criterion parameters in a linearization of regression models.

Jenčová, A. (1995)

Acta Mathematica Universitatis Comenianae. New Series

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Linearized models with constraints of type I

Lubomír Kubáček (2003)

Applications of Mathematics

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In nonlinear regression models with constraints a linearization of the model leads to a bias in estimators of parameters of the mean value of the observation vector. Some criteria how to recognize whether a linearization is possible is developed. In the case that they are not satisfied, it is necessary to decide whether some quadratic corrections can make the estimator better. The aim of the paper is to contribute to the solution of the problem.