Get Distribution of Nonnegative Integer-valued Random Variables by Using Probability Function 概率母函数在求非负整值随机变量分布的应用
The notion of random comparison coefficient of sequence of integer-valued random variables, relative to the Poisson product distribution, is introduced, and by use of this notion a strong law of large numbers of the sequence of dependent integer-valued random variables is given. 引进整值随机变量序列相对于Poisson乘积分布的和随机比较系数的概念,并利用这一个概念给出了相依整值随机变量序列的一个强大数定律。
Some limit properties of the multivariate function sequences of the nonnegative integer-valued random variables are studied by using the differentiation of measures on a net and the conditional moment generating functions, and some strong limit theorems related to the conditional expectations are obtained. 利用测度关于网的微分法和条件矩母函数的工具研究非负起值随机变量多元函数序列的极限性质,得到了若干与条件数学期望有关的强极限定理。
Let g and f be two integer-valued functions defined on vertex set of G such that g ( x)≤ f ( x) for each vertex x of G. 设g和f是两个定义在图G顶点集上的整值函数,使得对G的所有顶点x有g(x)≤f(x)。
The definition of the multivariate nonseparable biorthogonal wavelet packets associated with arbitrary integer-valued dilation matrix is given. An algorithm for constructing them is presented. 给出具任意整数矩阵伸缩的多元不可分双正交小波包的定义及其构造算法。
The comparison between the sequences of integer-valued random variables and Markov chains of order 2 and its limit properties 整值随机变量序列与二重马氏链的比较及其极限性质
Let g ( x) and f ( x) be two integer-valued functions defined on V ( G). 设g和f是定义在图G的顶点集合V(G)上的两个整数值函数。
These strong laws contain some limit properties of the sequence of integer-valued random variables, concerning relative entropy density and the entropy function of geometric distribution. 在此子集上得到了一类用不等式表示的强律,其中包含整值随机变量序列与相对熵密度及几何分布的熵函数有关的若干极限性质。