The two-parameter Weibull distribution has been commonly used, accepted and recommended in literature to express the wind speed frequency distribution for most wind locations. Consequently, the shape and scale parameters of the distribution are frequently used to design and characterize commercial wind conversion machines. In this paper, we examine three different models commonly used for estimating these parameters in order to determine the model that is best suited for Nigerian locations using 3-year wind data for Nsukka (6.80N; 7.4^0E). The coefficient of determination and root-mean-square error of the three models are compared for the location. Results show that the moment model appears more appropriate for estimating these parameters for the location.