It is proved that the statistics is asymptotic normality, and simulation of the statistics's asymptotic distribution is carried out with Monte Carlo method.
证明了此统计量是渐近正态的，并利用蒙特卡罗方法对统计量的渐进分布做了统计模拟。
2
In this paper, we use the convex function to form the order statistic and the linear rank statistic, and the asymptotic normality of the statistics are proved.
本文用凸函数构造了线性次序统计量和线性秩统计量，并证明了它们的渐近正态性。
3
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.