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...
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...
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 ...
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 ...
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...
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...
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...
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...
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...