4.2 Estimation and Inference in Simultaneous Equation Models
Initially, under the influence of Haavelmo’s contribution, the maximum likelihood (ML)
estimation method was emphasized as it yielded consistent estimates. Anderson and
Rubin (1949) developed the Limited Information Maximum Likelihood (LIML) method,
and Koopmans and others (1950) proposed the Full Information Maximum Likelihood
(FIML). Both methods are based on the joint probability distribution of the endogenous
variables conditional on the exogenous variables and yield consistent estimates, with the