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1)  pairwise NQD sequences
两两NQD序列
1.
The r-order mean consistency for the kernel-type density estimation in the case of pairwise NQD sequences
两两NQD序列密度函数核估计的r阶平均相合性
2.
In this paper,we discuss some limit properties of pairwise NQD sequences,extend Borel-Cantelli lemma,the three series theorem and the strong law of large numbers.
本文研究了两两NQD列的一些极限性质,推广了Borel-Cantelli引理、三级数定理、强大数定律,利用已有的两两NQD列的相关理论,获得了系数(或系数的模)为两两NQD序列的随机Dirichlet级数的收敛横坐标的简洁公式,以及类似于两两独立序列的相关结果。
3.
The present paper presents the Marcinkiewicz s strong law of large number for pairwise NQD sequences with stationary distribution under the condition E│X1│p(log+│X1│p)2<∞.
在附加矩条件E│X1│p(log+│X1│p)2<∞的情况下,给出了与独立同分布情形类似的同分布两两NQD序列的Marcinkiewicz型强大数定律。
2)  pairwise NQD series
两两NQD列
1.
On the Marcinkiewicz strong law of large numbers for product sums of pairwise NQD series with different distributions;
关于不同分布两两NQD列乘积和的Marcinkiewicz型强大数律
2.
Under certain conditions,to research the strong law of large Number for pairwise NQD series of different distributions,obtained the new results.
研究了在一定条件下不同分布的两两NQD列的强大数定律,得到了新的结果。
3)  pairwise NQD sequence
两两NQD列
1.
Some inequalities and weak law of large numbers for pairwise NQD sequences;
两两NQD列部分和的不等式及弱大数律
4)  pairwise NQD sequences
两两NQD列
1.
Complete convergence for sums of different distributions pairwise NQD sequences is discussed.
讨论了一类不同分布的两两NQD随机变量序列的完全收敛性,推广并改进了Matula、王岳宝等关于同分布的两两NQD列部分和的部分工作。
2.
Firstly,the Berntein s exponential inequality of maximal partial sums for pairwise NQD random sequences is derived;and based on the inequality,we work out,under weak conditions on the moment restrictions,law of the Petrov s logarithm and law of the Wittmann s iterated logarithm for pairwise NQD sequences with di?erent distribution functions.
首先建立了两两NQD随机变量列最大部分和的Bernstein型概率指数不等式;并在此基础上,给出了具有不同分布的两两NQD列在较弱矩条件下的Petrov型对数律与Wittmann型重对数律,将文献中相应内容从NA情形推广到两两NQD情形。
3.
In this paper, the probility exponential inequalities of maximal partialums for sequences of NQD random variables was given,and some laws of logarithm and laws of the iterated logarithm for nonidentity pairwise NQD sequences are firstly obtained under the condition of weaker moments.
通过建立两两NQD随机变量列最大部分和的概率指数不等式,首个给出了不同分布两两NQD列在较弱矩条件下的Petrov对数律与重对数律。
5)  pariwise NQD random sequence
两两NQD列
1.
Studies the growth of random Dirichlet series f(s,ω)=∑∞n=1anXne-λns with pariwise NQD random sequence {Xn,n≥1} satisfies limn→∞E|Xn|>0,supn≥1E|Xn|p<∞(p>1) and other suitable conditions,obtains some new resrlt.
研究了随机狄里克莱级数f(s,ω)=∑∞n=1anXne-λns在随机系数{Xn,n≥1}是两两NQD列且满足limn→∞E|Xn|>0,supn≥1E|Xn|p<∞(p>1)等条件时的增长性,得到了比较好的结果。
6)  Pairwise NQD random arrays
两两NQD阵列
1.
In this paper,the author discusses the Lr convergence for the weighted sums of pairwise NQD random arrays under r-th h-integrability,that is:limn→∞E|k-1/rnSnkn|r=0,it is the same as that in the independent case.
该文讨论了零均值的行两两NQD阵列{Xni;1≤i≤kn↑∞,n∈N}在满足r(1≤r<2)阶h-可积条件下的Lr收敛性,即:limn→∞E|kn-1/rSnkn|r=0,获得了与独立情形一致的结果,全面改进了陈平炎关于两两NQD随机序列Lr收敛性的工作。
补充资料:两两
1.成双成对。 2.犹言稀稀落落。
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