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。
This paper discusses the relationship between quasi-concave and pseudo-convex in the generalized convex function in the Linear topological space and offers some conditions of equivalence.
讨论了线性拓扑空间上广义凸函数中的拟凸与伪凸之间的关系，并给出它们之间的一些等价条件。
This paper defines a kind of derivative for real function on convex set which is in linear space. By means of the derivative we study convexity of function and obtain some decision theories.
本文对线性空间中的凸集上的实值函数定义一种导数，用其研究函数凸性，得到了上述三种凸函数的若干判定定理。
This paper investigates the existence of complex support functional of a convex function in complex linear spaces and the complex numerical ranges of the complex support functionals on a point.
采用子空间中支撑泛函延拓的方法，构造出在复线性空间任意点上的复支撑泛函；确定在同一支撑点上复支撑泛函的数值域，从而得到复支撑泛函具有唯一性的充分必要条件。
This paper investigates the existence of complex support functional of a convex function in complex linear spaces and the complex numerical ranges of the complex support functionals on a point.
采用子空间中支撑泛函延拓的方法，构造出在复线性空间任意点上的复支撑泛函；确定在同一支撑点上复支撑泛函的数值域，从而得到复支撑泛函具有唯一性的充分必要条件。
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