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部分和之和
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  sum of partial sums
     Limit theorems of sum of partial sums on I.I.D random variables
     I.I.D.随机变量部分和之和的极限定理
短句来源
     The law of large numbeis for sum of partial sums on NA sequences
     NA序列部分和之和的一类大数定律
短句来源
     The central limit theorems for sum of partial sums of random variable
     随机变量序列部分和之和的中心极限定理
短句来源
     THE LAW OF LARGE NUMBERS FOR SUM OF PARTIAL SUMS ON IDENTICALLY DISTRIBUTED NA SEQUENCES
     同分布NA序列部分和之和的弱大数定律
短句来源
     Thesis from [4] partial sums on NA sequences the law of large numbeis to set out, From but get Sum of partial sums on NA sequences a type strong(low) law of large numbeis.
     从文献 [4]中NA随机变量序列部分和Sn= ni =1 Xi 的大数定律存在条件出发 ,从而得到了NA随机变量序列部分和之和Tn= ni=1 Si 的一类强弱大数定律
短句来源
  “部分和之和”译为未确定词的双语例句
     In Chapter 1, the strong law of large number is establisbes by giving some eguvialent conditions.
     首先,在第1章通过给出一些等价条件,分别建立同分布及非同分布下NA列部分和之和T_n的强大数定律.
短句来源
     This paper investigates limit theorem for the sum of partial sum of NA sequences.
     本文主要研究NA(Negative association)随机变量序列部分和之和
短句来源
     This paper investigates limit properties for the sum of partial sum of NA sequences , but not studies limit properties for the partial sum of NA sequences.
     在本论文中并不研究NA列部分和,而立足于讨论NA列部分和之和T_n的极限性质。
短句来源
     In Chapter 2, the weak law of large numbers for the sum of the partial sum is establisbes under some mild conaitions.
     其次,第2章在较弱的条件下,建立了同分布NA列部分和之和T_n的弱大数定律,同时讨论非同分布情形下弱大数定律存在的条件.
短句来源
     The law of large numbers (LLN) and the central limit theorem (CLT)are established. Berry-Esseen inequality,is also obtained. The results are not only significant generalizations of classical ones but also have definite practical background.
     研究了独立同分布随机变量部分和之和的强大数律和中心极限定理 ,并且还得到了相应的 Berry- Esseen界
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  相似匹配句对
     The second part is the painness of alienation.
     第二部分:荒漠痛。
短句来源
     The fourth part is the painness of the absurdity.
     第四部分:荒诞痛。
短句来源
     Limit theorems of sum of partial sums on I.I.D random variables
     I.I.D.随机变量部分的极限定理
短句来源
     system whole is larger than the sum of its parts;
     系统整体大于离散的部分;
短句来源
     Limit Theorems of Random Sum of Partial Sums on I.I.D. Random Variable
     I.I.D.随机变量部分随机的极限定理
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In classical limit theory, the sum of i.i.d.(indep e ndent,identically,distributed) random variables is often considered. Because of the importance of random sum in finance and insurance, it is necessary to investiga te the case of random sums. This paper considers the sum of partial sums of i.i .d. random variables in the case of random sums. The weak law of large numbers(W LLN) and the central limit thorem (CLT) were established. The authors do not de mand that random index be independent...

In classical limit theory, the sum of i.i.d.(indep e ndent,identically,distributed) random variables is often considered. Because of the importance of random sum in finance and insurance, it is necessary to investiga te the case of random sums. This paper considers the sum of partial sums of i.i .d. random variables in the case of random sums. The weak law of large numbers(W LLN) and the central limit thorem (CLT) were established. The authors do not de mand that random index be independent of additive terms in our results. What is more, stopping time defined by the sum of partial sums was investigated and its asymptotic norma l behavior was also obtained. These results are not only significant general izations of classical ones but also promise useful applications.

论文研究了部分和之随机和的大数律和中心极限定理 ,所得结果推广了文献[4 ]中部分和之和的大数律和中心极限定理 .此外 ,论文还研究了由部分和之和所定义的停时 ,并且对于停时建立了中心极限定理

In class limit theory, the sum of i.i.d.(independent,identically,distributed)random variables are often considered .This paper considers the sum of partial sums of i.i.drandom variables.The law of large numbers (LLN) and the central limit theorem (CLT)are established. Berry-Esseen inequality,is also obtained.The results are not only significant generalizations of classical ones but also have definite practical background.

研究了独立同分布随机变量部分和之和的强大数律和中心极限定理 ,并且还得到了相应的 Berry- Esseen界

This paper discusses the strong stability for Jamison type weighted product sums of pairwise

讨论了不同分布两两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和同分布NQD列部分和情形相类似的结论,得到了一些新的结果。

 
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