The maximum likelihood estimators(MLE) of means and standard deviations and the asymptotic distribution of likelihood ratio statistic are given.
In this paper, the estimation of parameters for nominal scale population is discussed at first, Then the way of liklihood ratio test is given to judge the problem about the equal of two nominal scale pooulations, besed on the limit distribution of likelihood ratio statistic.
The family of generalized empirical likelihood ratio statistics with moment restrictions, which is a generalization of Baggerly, is investigated.
In this paper, empirical Euclidean likelihood ratio statistics are constructed for parametric in a nonlinear model. And prove strong consistency and asymptotic normality of the estimation.
