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Sharp large deviation results for sums of independent random variables被引量:1
《Science China Mathematics》2015年第9期1939-1958,共20页FAN XieQuan GRAMA Ion LIU QuanSheng 
supported by the Post-Graduate Study Abroad Program sponsored by China Scholarship Council;National Natural Science Foundation of China(Grant Nos.11171044 and11401590)
We show sharp bounds for probabilities of large deviations for sums of independent random variables satisfying Bernstein's condition. One such bound is very close to the tail of the standard Gaussian law in certain ca...
关键词:Bernstein’s inequality sharp large deviations Cramér large deviations expansion of BahadurRao sums of independent random variabl 
On intersections of independent anisotropic Gaussian random fields被引量:12
《Science China Mathematics》2012年第11期2217-2232,共16页CHEN ZhenLong XIAO YiMin 
supported by Zhejiang Provincial Natural Science Foundation of China(Grant No. Y6100663);National Science Foundation of US (Grant No. DMS-1006903)
Let X^H = {X^H(8),8∈ R^N1} and XK = {X^K(t),t ∈R^2} be two independent anisotropic Gaussian random fields with values in R^d with indices H = (H1,... ,HN1) ∈ (0, 1)^N1, K = (K1,..., KN2)∈ (0, 1)^N2, r...
关键词:INTERSECTION anisotropic Gaussian fields hitting probability Hausdorff dimension stochastic heatequation fractional Brownian sheet 
On Enomoto's problems in a bipartite graph被引量:1
《Science China Mathematics》2009年第9期1947-1954,共8页YAN Jin GAO YunShu 
supported by the Foundation for the Distinguished Young Scholars of Shandong Province (Grant No.2007BS01021);the Taishan Scholar Fund from Shandong Province,SRF for ROCS,SEM;National Natural Science Foundation of China (Grant No.60673047)
In this paper, we obtain the following result: Let k, n 1 and n 2 be three positive integers, and let G = (V 1,V 2;E) be a bipartite graph with |V1| = n 1 and |V 2| = n 2 such that n 1 ? 2k + 1, n 2 ? 2k + 1 and |n 1 ...
关键词:bipartite graph balanced bipartite graph independent cycle 05C38 05C70 
Multifractal structure of the product measure of two independent general subordinators'occupation measures
《Science China Mathematics》2009年第8期1785-1795,共11页KONG LingTao HU XiaoYu 
supported by National Natural Science Foundation of China(Grant No.10871200)
In this paper, we mainly investigate the multifractal spectrum of the random measure derived from two independent general subordinators.
关键词:general subordinator occupation measure Hausdor measure multifractal spetrum 
A LIL for independent non-identically distributed random variables in Banach space and its applications被引量:2
《Science China Mathematics》2008年第2期219-232,共14页LIU WeiDong FU KeAng ZHANG LiXin 
the National Natural Science Foundation of China (Grant Nos.10671176,10771192)
In this paper,we prove a general law of the iterated logarithm (LIL) for independent non-identically distributed B-valued random variables.As an interesting application,we obtain the law of the iterated logarithm for ...
关键词:law of the iterated logarithm independent random variable autoregressive Hilbertian processes covariance operator 60F15 
Moderate deviations and functional limits for random processes with stationary and independent increments被引量:1
《Science China Mathematics》2006年第12期1753-1767,共15页GAO Fuqing 
This work was partially supported by the National Natural Science Foundation of China (Grant No.10271091).
We first give a functional moderate deviation principle for random processes with stationary and independent increments under the Ledoux's condition. Then we apply the result to the functional limits for increments of...
关键词:moderate deviations large deviations functional limits processes with INDEPENDENT increment. 
On the behavior of the product of independent random variables被引量:5
《Science China Mathematics》2006年第3期342-359,共18页SU Chun CHEN Yu 
supported by National Natural Science Foundation of China(Grant No.10371117);the Doctoral Program Foundation of Ministry of Education and the Special Foundation of USTC.
For two independent non-negative random variables X and Y, we treat X as the initial variable of major importance and Y as a modifier (such as the interest rate of a portfolio).Stability in the tail behaviors of the p...
关键词:INDEPENDENT product  stability  TAILS of a distribution  heavy-tailed. 
Uniform dimension results of multi-parameter stable processes被引量:4
《Science China Mathematics》1999年第9期932-944,共13页林火南 
Project supported by Fujian Natural Science Foundation.
The problem of uniform dimensions for multi-parameter processes, which may not possess the uniform stochastic H?lder condition, is investigated. The problem of uniform dimension for multi-parameter stable processes is...
关键词:UNIFORM DIMENSION processes with INDEPENDENT INCREMENTS STABLE (N d α)-process. 
Equivalent conditions of complete convergence for independent weighted sums被引量:7
《Science China Mathematics》1998年第9期939-949,共11页王岳宝 刘许国 苏淳 
ProjectsupportedbytheNationalNaturalScienceFoundationofChina (GrantNo .196 710 78) ;theNaturalScienceFounda tionoftheHighterEducationDepartmentofGuangdongProvinceandtheNationalScienceFoundationoftheEducationCommissionofJiangsuProvince .
For a very general weight function, the equivalent conditions of complete convergence for weighted sums of independent but not necessary identically distributed random variables are given. The previous situation of on...
关键词:independent welghted sum complete convergence EQUIVALENCE 
TOPOLOGICAL CONDITIONS FOR FAULT DIAGNOSABILITY AT SUBNETWORK-LEVEL
《Science China Mathematics》1992年第9期1117-1125,共9页黄东泉 叶风 杨祖樱 
Project supported by the National Natural Science Foundation of China
The fault analysis of analog circuits at subnetwork-level is confronted with two essentialcore problems: (ⅰ) Is it necessary that all the torn nodes are accessible? (ⅱ) Are there any topological conditions of subnet...
关键词:FAULT at subnetwork-level DIAGNOSABILITY INDEPENDENT path. 
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