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Complete Convergence for Weighted Sums of φ-mixing Sequence
《Chinese Quarterly Journal of Mathematics》2017年第2期161-171,共11页LIU Ting-ting WANG Xue-jun WANG Xing-hui 
Supported by the National Natural Science Foundation of China（11671012, 11526033, 11501004, 11501005）; Supported by the Natural Science Foundation of Anhui Province（1608085QA02）; Supported by the Science Fund for Distinguished Young Scholars of Anhui Province（1508085J06）
In this paper, the complete convergence and strong law of large numbers for weighted sums of φ-mixing sequence with different distribution are investigated under some weaker moment conditions. Our results extend ones...
关键词：weighted sums φ-mixing sequence complete convergence strong law of large numbers 
When is an Almost Locally Compact Space Supercomplete?
《Chinese Quarterly Journal of Mathematics》2016年第4期430-434,共5页李晓婷 林福财 
Supported by the National Natural Science Foundation of China(11201414,11571158,11171162);Supported by the Natural Science Foundation of Fujian Province(2012J05013);Supported by the Training Programme Foundation for Excellent Youth Researching Talents of Fujian's Universities(JA13190)
It is proved in this paper that(1) the topological sum of a family of supercomplete spaces is supercomplete;(2) if X is a metacompact and almost locally compact space then X is supercomplete. Moreover, some questions ...
关键词：supercomplete spaces sums of topological spaces almost locally compact metacompact spaces 
Some Alternating Double Binomial Sums
《Chinese Quarterly Journal of Mathematics》2013年第4期573-577,共5页ZHENG De-yin TANG Pei-pei 
Foundation item： Supported by the Natural Science Foundation of Zhejiang Province（YT080320, LYI2A01030）; Supported by the National Natural Science Foundation of China（l1226297）; Supported by the Zhejiang Univerity City College Scientific Research Foundation（J-13003）
We consider some new alternating double binomial sums. By using the Lagrange inversion formula, we obtain explicit expressions of the desired results which are related to a third-order linear recursive sequence. Furth...
关键词：alternating double binomial sum Lagrange inversion formula Fibonacci num-ber 
Complete Convergence Properties of the Sums for -mixing Sequences of Random Variables被引量：5
《Chinese Quarterly Journal of Mathematics》2011年第2期159-163,共5页WU Yan-chun WU Qun-ying 
Supported by the National Natural Science Foundation of China（11061012）; Supported by the Natural Science Foundation of Guangxi（2010GXNSFA013121）
This paper discusses complete convergence properties of the sums of -mixing random sequences.As a result,we improve the corresponding results of Wu Qunying(2001). And extended the Baum and Katz complete convergence ...
关键词：-mixing random sequences complete convergence moment condition 
Two Sums for a Class of Recurrence Sequences
《Chinese Quarterly Journal of Mathematics》2010年第1期60-64,共5页PANG Jin-li YE Xiao-lie 
Foundation item： Supported by the National Natural Science Foundation of China（10771093）
A conjecture posed by Melham for Un2k+Un+12k in [2] is considered in this article.Several positive results on Vn+s2k +(-1)k(p2-4)kUn2k and V n2k+(-1)k(p2-4)kUn+s2k are achieved which generalize existed results on V n+...
关键词：recurrence sequence generating function DIFFERENTIATION 
Large Deviations for Sums of Heavy-tailed Random Variables
《Chinese Quarterly Journal of Mathematics》2007年第2期282-289,共8页郭晓燕 孔繁超 
This paper is a further investigation of large deviations for sums of random variables Sn=i=1∑n Xi and S（t）=i=1∑N（t）Xi,（t≥0）, where {X_n,n≥1） are independent identically distribution and non-negative random...
关键词：large deviation heavy-tailed distribution strongly subexponential distribution lognormal distribution 
Sums of the Numbers of Prime Factors of Positive Integers
《Chinese Quarterly Journal of Mathematics》1993年第1期44-49,共6页王巧林 
Denote by ω(n) and Ω(n) the number of distinct prime factors of n and the total number of prime factors of n,respectively.For any positive integer ι,we prove that ∑↑2≤n≤x1/ω（n)=ι↑∑↑κ=0(ι↑∑↑i=κ（-1)...
关键词：正整数 素因子 渐近公式 素数定理 
The Law of the Iterated Logarithm for the Sums of φ-Mixing Sequences with Duple Suffixes
《Chinese Quarterly Journal of Mathematics》1992年第4期68-71,共4页杨善朝 
Hu Shuhe gets a sufficient condition on the law of the iterated logarithm for the sums of φ-mixing sequences with duple suffixes. This paper greatly improves his condition.
关键词：φ-Mixing Sequences Sum of Double Suffix Sequences Law of Iterated Logarithm 
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