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。

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Methods By analyzing the adaptive optimization algorithm of weight order statistic filter, the adaptive optimization algorithm for rank selection filter has been derived.

方法分析加权顺序统计滤波器的优化算法，由此导出秩选择滤波器的自适应优化算法。

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Linear order statistic and linear rank statistic are two kinds of important statistics in the mathematical statistics. They are used widely and a lot of the other statistics belonging to them.

线性次序统计量和线性秩统计量是数理统计中两类很重要的统计量，在应用上经常使用，很多形式的统计量都是属于这两类统计量。

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