EMPIRICAL LIKELIHOOD ESTIMATION BASED ON SIMULATED MOMENT CONDITIONS

In this study we discuss the optimization of the Empirical Likelihood (EL) criterion function when the moment condition is nonstandard. We deal with this issue following the Method of Simulated Moment (MSM) introduced and we use importance sampling method to smooth discrete moment conditions. We have demonstrated the convergence and asymptotic normality of the empirical likelihood estimator from the simulated moment conditions.