This paper considers estimation of the function g in the model Yt = g(Xt) + εt when E(εt|Xt) 6= 0 with non–zero probability. We assume the existence of an ‘instrumental variable’ Zt that is independent of εt and of an ‘innovation’ ηt = Xt − E(Xt|Zt). We use a nonparametric regression of Xt on Zt to obtain residuals η̂t which in turn are used to obtain a consistent estimator of g. The estimator w...

the solutions of mathematical models for the estimation of the kinetic, and biokinetic parameters of naphthalene, anthracene and pyrene during degradation in surface and subsurface soils are presented in this work. the models were developed using the twin concepts of rate-determining step and steady-state approximation method. they described the biodegradation of single and a mixture of polycy...

This paper describes the model identification of control valve dynamics with a time delay. An experimental set-up is used to perform both frequency response and step response measurements on the control valve. An approximate realization algorithm and a new time delay estimation method are applied on the experimental data. The results illustrate that the suggested approach provides a good time d...