置换空间PXXn性质的补充

我们主要给出了如下结论：（1）若X是自反局部一致凸Banach空间，则PXXn是极端凸的当且仅当每个Xn(n=1,2,…）都是极端凸的；（2）若X^*是局部一致凸的，则PXXn是一致Gateaux可微的当且仅当每个Xn(n=1,2,…)都是一致Gateaux可微的。     

ON EVALUATING THE RUN LENGTH PROPERTIES OF X^— CHARTS WITH ESTIMATED CONTROL LIM

X＾－ charts with estimated coutrol limits are commonly used in practice and treated as if the in-control process parameters were known.However,the former can behave quite differently from the latter.To understand the differences,it is necessary to study the run length distribution(RLD),its mean(ARL)and standard deviation(SDRL) of the X^- charts when the control limits are estimated.However,ARL and SDRL are integrals over and infinite region with a boundless integrand,the finiteness has not been proved in literature.In this paper,we show the finiteness and uniform integrability of ARL and SDRL.Furthermore,we numerically evaluate the ARL,SDRL and the RLD using number theory method.A numerical study is conducted to assess the performance of the proposed method and the results are compared with those given by Quesenberry and Chen.     

Banach空间X的凸性模δx(·)的连续性

文[1]证明一致凸空间X的凸性模δx(·)在[0,1]上是连续的,本文定义Banach空间的参数函数δx,P(·)(0相似文献   

函数一致可导性及若干应用

本文引进函数一致可导性概念,并以此改造数学分析中若干重要定理的条件,使所得到的新定理或者条件明显减弱,或者在某些场合具有独到的作用.     

球垒域上的-方程

在Ｃｎ空间中由任意Ｎ个超球构成的球垒域Ｄ上，建立具有有限离散全纯核的Ｂａｃｈｎ－ｅｒ－Ｌｅｒａｙ积分公式，并获得方程＝ｇ的整体解及其一致估计．     

有限区间上广义可积函数列逐项积分的条件

本文讨论了有限区间上广义可积函数列与极限是否可交换的问题,并给出了有限区间上可积函数列可逐项积分的一些条件。     

N-P基本引理的严密化、标准化研究——兼评国内某些教材对此定理的引述与证明

我国目前所引述的Neyman-Pearson基本引理(下简称N-P引理),可谓是五花八门、应有尽有.就其证明的严密性而言,要么只给出了一致最大功效检验(下简记UMPT)函数的非随机化检验形式,要么仅局限于其充分性的证明.文章从N-P引理的本质特征出发,把φ的随机化检验形式,和引理的充要条件的证明统一在一起,因而形式更为完美,证明更加严谨,并且还给出了它直观的图像表示和扩大了检验函数的集类φ.