In this paper, we use the convex function to form the order statistic and the linear rankstatistic, 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。
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Linear order statistic and linear rankstatistic are two kinds of important statistics in the mathematical statistics. They are used widely and a lot of the other statistics belonging to them.
Methods By analyzing the adaptive optimization algorithm of weight order statistic filter, the adaptive optimization algorithm for rank selection filter has been derived.