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排序方式: 共有1206条查询结果,搜索用时 15 毫秒
51.
This paper is concerned with large- error estimates concerning convergence in distribution as well as norm convergence for Banach space-valued martingale difference sequences. Indeed, two general limit theorems equipped with rates of convergence for such difference sequences are established. Applications of these lead to the central limit theorem and the weak law of large numbers with rates for Banach space-valued martingales. 相似文献
52.
Various conditions ensuring that an atomic effect algebra is a Boolean algebra are presented.
PACS: 02.10.-v. 相似文献
53.
Guanglu Zhou Kim-Chuan Toh Gongyun Zhao 《Computational Optimization and Applications》2004,27(3):269-283
Most existing interior-point methods for a linear complementarity problem (LCP) require the existence of a strictly feasible point to guarantee that the iterates are bounded. Based on a regularized central path, we present an infeasible interior-point algorithm for LCPs without requiring the strict feasibility condition. The iterates generated by the algorithm are bounded when the problem is a P
* LCP and has a solution. Moreover, when the problem is a monotone LCP and has a solution, we prove that the convergence rate is globally linear and it achieves `-feasibility and `-complementarity in at most O(n
2 ln(1/`)) iterations with a properly chosen starting point. 相似文献
54.
Vassilis Kanellopoulos 《Proceedings of the American Mathematical Society》2004,132(11):3231-3242
W. T. Gowers' theorem asserts that for every Lipschitz function and 0$">, there exists an infinite-dimensional subspace of such that the oscillation of on is at most . The proof of this theorem has been reduced by W. T. Gowers to the proof of a new Ramsey type theorem. Our aim is to present a proof of the last result.
55.
FangWANG ShiHongCHENG 《数学学报(英文版)》2004,20(5):869-878
We obtain an almost sure central limit theorem (ASCLT) for heavily trimmed sums. We also prove a function-typed ASCLT under the same conditions that assure measurable functions to satisfy the ASCLT for the partial sums of i.i.d, random variables with E X1 = 0, EX1^2 = 1. 相似文献
56.
Sylvia Pulmannová 《International Journal of Theoretical Physics》2003,42(7):1413-1423
A noncommutative version of generalized Sasaki projections in pseudoeffect algebras is introduced. It is proved that an ideal in a pseudoeffect algebra is Riesz if and only if it is closed under the right and left Sasaki projections. In lattice ordered pseudoeffect algebras, it is shown that generalized Sasaki projections are one-element sets, and their explicit form is found. It is shown that if a supremum of a normal Riesz ideal in a lattice ordered pseudoeffect algebra exists, it is a central element. These results extend those obtained recently by Avallone and Vitolo for effect algebras. 相似文献
57.
Let G be a group with a set of operators such that Z(G) is -admissible. Central -automorphisms occur in the Krull-Remak-Schmidt Theorem. We discuss the existence of a central -endomorphism of G that is not an automorphism.2000 Mathematics Subject Classification: 20E36 相似文献
58.
Gejza Jenca Sylvia Pulmannová 《Proceedings of the American Mathematical Society》2003,131(9):2663-2671
We prove that for every orthocomplete effect algebra the center of forms a complete Boolean algebra. As a consequence, every orthocomplete atomic effect algebra is a direct product of irreducible ones.
59.
Let V
n
–1
n
be the adaptive process of self-normalized partial sums S
k
of independent random variables X
i
, defined by linear interpolation between the points (V
k
2/V
n
2,S
k
/V
n
), kn, where V
k
2=
ik
X
i
2. We prove that if the X
k
's are symmetric, V
n
–1
n
converges weakly to the Brownian motion W in each Hölder space supporting W
if and only if
V
n
–1 max
kn
|X
k
|=o
P
(1). We give some partial extension to the non symmetric case. 相似文献
60.
Tonghai Yang 《Transactions of the American Mathematical Society》2003,355(7):2663-2674
In this paper, we give an explicit formula for the first two terms of the Taylor expansion of a classical Eisenstein series of weight for . Both the first term and the second term have interesting arithmetic interpretations. We apply the result to compute the central derivative of some Hecke -functions.