Аннотация:
The nonlinear structural errors-in-variables model is investigated. We consider a
Simex estimator with polynomial extrapolation function. The expansion of a Simex
estimator is based on the asymptotic expansion of a naive estimator for small measurement errors. It is shown that the Simex estimator has an asymptotic deviation
from a true value of the unknown parameter which is negligible compared with a measurement error variance, while the deviation of the naive estimator is proportional
to the measurement error variance.