1) generalized Jamison type weighted product sum
广义Jamison型加权乘积和
2) generalized Jamison weighted sums
广义Jamison型加权和
1.
Based on the properties of a coefficient guideline function of generalized Jamison s weighted sums, the strong convergence properties are discussed of generalized Jamison weighted sums for pairwise NQD sequences.
通过随机变量序列广义Jamison型加权和的系数指标函数自身性质,讨论两两NQD(NegativelyQuadrantDependent)列的广义Jamison型加权和的强收敛性,将NA中一些相应结果推广到两两NQD列场合,削弱了以前结果的条件。
3) Jamison weighted sums
Jamison型加权和
1.
The strong convergence properties of Jamison weighted sums of Random Sequences was discussed,and the famous Jamison theorem was extended.
讨论φ混合序列的广义 Jamison型加权和的强收敛性 ,推广了著名的 Jam ison定理 。
2.
In this paper, we discuss the strong convergence properties of Jamison weighted sums of pariwise NQD random sequences and extend the famous Jamison theorem.
讨论了两两NQD列的广义Jamison型加权和的强收敛性 ,推广了著名的Jamison定理 。
4) weighted product sums
加权乘积和
1.
Finally,the strong large laws of weighted product sums for identitily distributed ρ~*-mixing sequences are estabilished under certain conditions and so the Kolmogorov and Marcinkiewicz SLLN are proved to be right to the product sums.
讨论了ρ*混合序列部分和上升的阶,通过矩的和对部分和Sn上升的阶给出某种意义上的最佳估计;同时讨论了不同分布的ρ*混合序列服从Kolmogorov强大数律的条件;最后还讨论了在一定条件下同分布的ρ*混合序列加权乘积和的强大数律,把Kolmogorov强大数律和Marcinkiewicz强大数定律推广到乘积和的形式。
2.
From a thorough discussion about the strong stability for the mixed sequential weighted product sums,Jamison theorem in independent situation is further developed and improved.
讨论了混合序列加权乘积和的强稳定性,推广和改进了独立情形的Jamison等定理。
3.
In this paper, we discuss the complete convergence of weighted product sums for NA sequences, some of the results are better than that of iid sequences which has been known.
本文讨论了NA列的几类加权部分和及加权乘积和的完全收敛性,其中部分结果要优于iid列的已知结
5) generalized product
广义乘积
6) the product of geometric series
几何加权级数的乘积和
1.
Considering the product of geometric series,where negatively associated sequences are identically distributed with mean zero and variance 1,a law of iterated logarithm obtained when β converges to one.
为了进一步研究NA列,对同分布NA随机变量列,在期望为0,方差为1的条件下,建立了几何加权级数的乘积和在β趋于1时的重对数律。
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