On curvature measurements of the nonlinear errors in variable models by application study
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Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taru Publications
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Relative curvature measurements are of great importance from a practical point of view since it determines the validity of the linearized approximation used in estimation problems for nonlinear regression models. But, these measurements can be negatively affected when an explanatory variable contains a measurement error as well as response variables and can prevent accurate inferences. In our study, we considered the curvature measurement of nonlinear errors in variable models to investigate adequacy of the linear approximation in case the explanatory variables are subjected to measurement error and how the parameter estimation problem is affected by this error, using the geometric concepts such as parameter-effects and intrinsic curvatures of the model function. Then, for the two cases of the explanatory variable, curvature calculations and statistical inferences were made on the chemical model called Michaelis-Menten, in which the rate of reaction against a substrate concentration is measured, by using different data sets.
Açıklama
Anahtar Kelimeler
Errors-In-Variables, Curvature, Maximum Likelihood, Nonlinear Model
Kaynak
Journal of Statistics & Management Systems
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
21
Sayı
5
