Parameter estimation of univariate spatial autoregressive models with measurement errors

In this paper, the measurement error is introduced into the classical spatial autoregressive model.Starting with only one independent variable, the univariate spatial autoregressive model with measurement errors (USARME) is constructed. The influence of measurement errors of independent variables on the spatial autoregressive model is discussed. The parameter estimation method and algorithm of USARME are established. The feasibility and reliability of the estimation method are verified by numerical simulation.