p值随机变量联合分布的分解式及其应用  

Decomposition Formulas of Joint Distribution of pvaluedRandom Variables and Their Application

作　　者：黄晓英[1] 李世取[1] 

机构地区：[1]信息工程学院信息研究系

出　　处：《工程数学学报》1998年第3期91-95,78,共6页Chinese Journal of Engineering Mathematics

摘　　要：给出了一般概率空间上ｎ维ｐ值（ｐ为素数）随机变量的联合分布与其分量的任意非零线性和的分布之间的等量关系，并将之应用于与ｐ值逻辑函数相应的ｐ值随机变量的有关联合分布的分解，得到了ｐ值逻辑函数和ｐ值逻辑向量函数相关免疫性的等价条件及谱判别条件，揭示出ｐ值逻辑函数、ｐ值逻辑向量函数相关免疫性的若干等价条件的概率内在联系。AbstractThis paper first presents decomposition formulas of joint distributions of ndimensional pvalued (p is a prime) random variables on a general probability space and then applies them to the decomposition of relavant joint distribution of pvalued random variables corresponding to pvalued logical functions. We obtain both equivalent condtion and Chrestenson Spectral discriminant of correlation-immumity of pvalued logical function and pvalued vector logical functions, thereby revealing the essence of probability of several equivalent conditions about correlation-immunity of pvalued logical functions and pvalued vector logical functions.

关 键 词：联合分布 向量函数 等价条件 随机变量 分解式 概率空间 素数 相关免疫性 逻辑函数 线性 

分 类 号：O211[理学—概率论与数理统计] TN918[理学—数学]