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 pairwise independent 两两独立(7)
 两两独立
 Let {X,Xn,n≥0} be a sequence of pairwise independent identically distributed random variables, 1 设{X,Xn,n≥0}是两两独立同分布的随机变量序列,1 短句来源 This paper discuss the strong stability for Jamison type weighed product sums and the Marcinkiewicz strong law of large numbers for product sums of pairwise NQD sequences, extend and improve the corresponding results for partial sums of pairwise independent se- quences with the same distribution in Etemadi[1], and the corresponding results for partial sums of pairwise NQD sequences with the same distribution in Matula[2], and in Wang Yuebao et al(1998)[3]. 本文讨论了不同分布两两NQD列的Jamison型加权乘积和的强稳定性及乘积和的Marcinkiewicz型强大数律，推广并改进了Etemadi［1］关于不同分布两两独立列部分和的工作及Matula［2］，王岳宝等［3］关于同分布两两NQD列部分和的工作． 短句来源 The author gives a Marcinkiewicz SLLN for pairwise independent identically distributed ran-dom elements valued in a separable Hilbcrt space, and constructs Hajek-Renyi's inequalities in type-p spaces. 本文讨论了Hiibert空间中两两独立同分布随机元的Marcinkiewicz强大数律(SLLN),并把一维欧氏空间中的Hajek—Renyi不等式推广到p—型Banach空间中,由此得出若干结论。 短句来源 The example of a set of discrete variates that are pairwise independent but not mutuallyindependent usually quoted in statistical literature is due to S.Bernstein. In this paper,S. 本文对S. Bernstein提供的三个两两独立,但不彼此独立的离散随机变量的集合,推广到n个连续型随机变量的情形,即使它的一切真子集独立,但它仍不独立; 短句来源 The class of NQD random variables is a very broad class, including NA sequences which is widely studied by many scholars, moreover, it popularized the results of pairwise independent random variables. 两两NQD的概念最早是由Lehmann(1966)提出的,它是一类非常广泛的随机变量,包含了研究得很多的NA序列,同时它也是两两独立随机序列的一种推广。 短句来源 更多
 “pairwise independent”译为未确定词的双语例句
 furthermore, if the functions of three random vectors are pairwise conditionally independent, then the functions of the three random vectors are also pairwise independent. 且若3 个随机向量的函数两两条件独立，则3 个随机向量的函数亦相互独立 短句来源 This paper makes a study of the convergence properties of widely used pairwise NQD random sequnces, some strong laws of large number in the pairwise independent case are extended, and some new results are obtained. 本文研究了一类广泛的随机变量序列两两NQD列的收敛性质,推广了与独立情形相类似的一些强大数定律,得到了新的结果. 短句来源 In this paper, we discuss the strong stability for Jamison type wighted product sums of pairwise NQD suquences, extend the corresponding results for partial sums of pairwise independent suquences with the different distribution and for partial sums of pairwise NQD suquences with the same distribution. 研究了一类不同分布两两 NQD列的 Jamison型加权乘积和的强稳定性 ,推广了不同分布独立列部分和与同分布 NQD列部分和情形相类似的结论 . 短句来源 A new hierarchical sketch data structure was implemented,which summarized the hierarchical structure in stream data and the key component of which was a pairwise independent family of hash functions based on exclusive-or operator. 利用一类基于异或运算的两两相互独立的哈希函数族,实现了对多层结构流数据进行“概括”的概要数据结构. 短句来源
 相似匹配句对
 Independent Soul 独立的灵魂 短句来源 Independent Innovation 自主创新 是寻求本土化发展路径 短句来源 On The Strong Law of Large Numbers for Double Arrays of Pairwise Independent Ran dom Variables 两参数两两独立的随机变量序列的强大数定律 短句来源 Pairwise Separability of Preferences 偏好的对子态可分性 短句来源 Research on pairwise testing 关于两两测试的研究 短句来源

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 pairwise independent
 The law of large numbers for weighted sums of independent identically distributed random variables due to Chow and Lai is generalized to nonidentically distributed or pairwise independent summands. A remark on the strong law of large numbers for sums of pairwise independent random variables On the convergence of series of pairwise independent random variables On the strong law of large numbers for pairwise independent random variables A path or a cycleD is said to beadmissible for a setL of pairwise independent edges if each edge ofL lies onD or has no vertex in common withD. 更多
 The author gives a Marcinkiewicz SLLN for pairwise independent identically distributed ran-dom elements valued in a separable Hilbcrt space, and constructs Hajek-Renyi's inequalities in type-p spaces. Finally, author gives some examples to show that the geometric structures will make a notable impact on the rates of convergence. 本文讨论了Hiibert空间中两两独立同分布随机元的Marcinkiewicz强大数律(SLLN),并把一维欧氏空间中的Hajek—Renyi不等式推广到p—型Banach空间中,由此得出若干结论。最后用几个例子说明,空间的几何结构对其收敛速度有很大影响。 The example of a set of discrete variates that are pairwise independent but not mutuallyindependent usually quoted in statistical literature is due to S.Bernstein.In this paper,S.Bernstein's example has been extended to n>3 and continuous variate case.Moreover,by an elementary method,we have constructed an example in which all proper subsets ofn>3 random events are independent but the events are not mutually independent. 本文对S.Bernstein提供的三个两两独立,但不彼此独立的离散随机变量的集合,推广到n个连续型随机变量的情形,即使它的一切真子集独立,但它仍不独立;同时,还用初等的方法构造了一个n>3个的随机事件的一切真子集是独立的,但总体不独立的例。 Two results about mutual independence and conditional independence of random vectors are presented. The mutual independence and conditional independence of three vectors are generalized to n vectors. It is pointed out that if three random vectors are pairwise conditionally independent, then they are mutually independent; furthermore, if the functions of three random vectors are pairwise conditionally independent, then the functions of the three random vectors are also pairwise independent. 给出了随机向量相互独立性和条件独立性的两个结论，将３ 个随机变量的相互独立性和条件独立性推广到随机向量的相互独立性与条件独立性。指出了如果３ 个随机向量两两条件独立，则３ 个随机向量亦一定相互独立；且若３ 个随机向量的函数两两条件独立，则３ 个随机向量的函数亦相互独立 << 更多相关文摘
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