In this thesis, we review three estimation methods, including the closedskewnormal (CSN)basedmaximumlikelihood (ML)methodofChenetal. (2014), themethodofmoments (MM) estimator of Chen et al. (2015) and the maximum simulated likelihood (MSL) method of Belotti and Ilardi (2018) for the true fixedeffect stochasticfrontier model of Greene (2005a, b). We also compare the finitesample performanceof these three estimation methods by Monte Carlo experiments and assess the empirical performance of these methods using real data. The simulation shows that the MMestimator performs comparably to the CSNbased estimator and the MSL estimator.The empirical example shows that these three estimators might perform differently inreal data.