Abstract:First, the EIV model is linearized at the optimal solution through the GHM method and the approximate variance matrix is derived. Then, the EIV model is reformulated in the form of the Gauss-Markov model. The solution to EIV model and its approximate dispersion matrix are derived using the standard least squares theory, which is equivalent to the existing results. Finally, the statistical properties of the estimation of observations and residuals are derived and the system of parameter estimation and accuracy assessment of EIV model are established.