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Asymptotic behavior for sums of non-identically distributed random variables
《Applied Mathematics(A Journal of Chinese Universities)》2019年第1期45-54,共10页YU Chang-jun CHENG Dong-ya 
Supported by the National Natural Science Foundation of China(no.11401415);Tian Yuan Foundation(nos.11226208 and 11426139);Natural Science Foundation of the Jiangsu Higher Education Institutions of China(no.13KJB110025);Postdoctoral Research Program of Jiangsu Province of China(no.1402111C);Jiangsu Overseas Research and Training Program for Prominent University Young and Middle-aged Teachers and Presidents
For any given positive integer m, let X_i, 1 ≤ i ≤ m be m independent random variables with distributions F_i, 1 ≤ i ≤ m. When all the summands are nonnegative and at least one of them is heavy-tailed, we prove th...
关键词：lower limits UPPER limits heavy-tailed DISTRIBUTIONS local DISTRIBUTIONS DENSITIES 
Precise large deviations for sums of random vectors in a multidimensional size-dependent renewal risk model被引量：1
《Applied Mathematics(A Journal of Chinese Universities)》2018年第4期491-502,共12页SHEN Xin-mei FU Ke-ang ZHONG Xue-ting 
Supported by the National Natural Science Foundation of China(Nos.11571058&11301481);Humanities and Social Science Foundation of the Ministry of Education of China(No.17YJC910007);Zhejiang Provincial Natural Science Foundation of China(No.LY17A010004);Fundamental Research Funds for the Central Universities(No.DUT17LK31)
Consider a multidimensional renewal risk model, in which the claim sizes {Xk, k ≥1} form a sequence of independent and identically distributed random vectors with nonnegative components that are allowed to be depende...
关键词：Precise large deviation SIZE-DEPENDENT Consistent variation Multidimensional risk model Renewal counting process 
The maxima and sums of multivariate non-stationary Gaussian sequences被引量：1
《Applied Mathematics(A Journal of Chinese Universities)》2015年第2期197-209,共13页TAN Zhong-quan YANG Yang 
Supported by the National Natural Science Foundation of China(11326175,71471090);the Zhejiang Natural Science Foundation of China(LQ14A010012)
Let {Xkl,…, Xkp, k≥ 1} be a p-dimensional standard （zero-means, unit-variances）non-stationary Gaussian vector sequence. In this work, the joint limit distribution of the maximaof {Xkl,…, Xkp, k 〉 1}, the incompl...
关键词：Maxima  sum  multivariate Gaussian sequence non-stationary  strongly dependent 
Some generalized limit theorems concerning delayed sums of random sequence被引量：1
《Applied Mathematics(A Journal of Chinese Universities)》2013年第1期40-48,共9页WANG Zhong-zhi YANG Wei-guo SHI Zhi-yan 
Supported by the National Natural Science Foundation of China (11071104, 11226210);the Foundation of Anhui Education Committee (KJ2012B117);Anhui University of Technolog Graduate Innovation Fund (D2011025);Research Foundation for Advanced Talents of Jiangsu University(11JDG116)
For a sequence of arbitrarily dependent m-valued random variables （Xn） n∈N , the generalized strong limit theorem of the delayed average is investigated. In our proof, we improved the method proposed by Liu [6] . A...
关键词：Limit theorem delayed average Borel-Cantelli lemma inhomogeneous Markov chain. 
Almost sure central limit theory for products of sums of partial sums被引量：6
《Applied Mathematics(A Journal of Chinese Universities)》2012年第2期169-180,共12页WU Qun-ying 
Supported by the National Natural Science Foundation of China(11061012);Project Supported by Program to Sponsor Teams for Innovation in the Construction of Talent Highlands in Guangxi Institutions of Higher Learning([2011]47);the Guangxi Natural Science Foundation of China(2012GXNSFAA053010)
Consider a sequence of i.i.d.positive random variables.An universal result in almost sure limit theorem for products of sums of partial sums is established.We will show that the almost sure limit theorem holds under a...
关键词：almost sure central limit theorem WEIGHT product of sums of partial sums. 
A weak invariance principle for self-normalized products of sums of mixing sequences
《Applied Mathematics(A Journal of Chinese Universities)》2008年第2期183-189,共7页FU Ke-ang HUANG Wei 
National Natural Science Foundation of China(10671176;10771192).
Let variables in the {X, Xn, n ≥ 1} be a sequence of strictly stationary φ-mixing positive random domain of attraction of the normal law. Under some suitable conditions the principle for self-normalized products of ...
关键词：SELF-NORMALIZED product domain of attraction of the normal law Φ-MIXING Wiener process. 
ENUMERATION OF (0,1)-MATRICES WITH CONSTANT ROW AND COLUMN SUMS被引量：1
《Applied Mathematics(A Journal of Chinese Universities)》2006年第4期479-486,共8页Tan Zhonghua Gao Shanzhen Heinrich Niederhausen 
Let fs,t（m, n） be the number of （0, 1） - matrices of size m × n such that each row has exactly s ones and each column has exactly t ones （sm = nt）. How to determine fs,t（m,n）？ As R. P. Stanley has observed ...
关键词：（0 1）-matrices labelled ball arrangement generating function. 
SEVERAL COMPUTING FORMULAS FOR COMBINATORIAL SUMS
《Applied Mathematics(A Journal of Chinese Universities)》2002年第1期119-124,共6页LiDachao ShangShiqi 
In this paper, by Riordan array several computing formulas for the combinatorial sums are given.
关键词：Riordan arrays combinatorial sums computing formula. 
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