共查询到20条相似文献,搜索用时 0 毫秒
1.
André Dabrowski Herold Dehling Walter Philipp 《Probability Theory and Related Fields》1984,65(4):483-491
Summary We give a simpler proof of the probability invariance principle for triangular arrays of independent identically distributed random variables with values in a separable Banach space, recently proved by de Acosta [1], and improve this result to an almost sure invariance principle. 相似文献
2.
J Kuelbs 《Journal of multivariate analysis》1973,3(2):161-172
We extend the invariance principle to triangular arrays of Banach space valued random variables, and as an application derive the invariance principle for lattices of random variables. We also point out how the q-dimensional time parameter Yeh-Wiener process is naturally related to a one dimensional time Wiener process with an infinite dimensional Banach space as a state space. 相似文献
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Ke-Ang Fu 《Proceedings Mathematical Sciences》2010,120(5):611-618
Let {X
n
; n ≥ 1} be a sequence of independent and identically distributed random vectors in ℜ
p
with Euclidean norm |·|, and let X
n
(r) = X
m
if |X
m
| is the r-th maximum of {|X
k
|; k ≤ n}. Define S
n
= Σ
k≤n
X
k
and (r)
S
n
− (X
n
(1) + ... + X
n
(r)). In this paper a generalized strong invariance principle for the trimmed sums (r)
S
n
is derived. 相似文献
5.
We consider a discrete time random walk in a space-time i.i.d. random environment. We use a martingale approach to show that
the walk is diffusive in almost every fixed environment. We improve on existing results by proving an invariance principle
and considering environments with an L2 averaged drift. We also state an a.s. invariance principle for random walks in general random environments whose hypothesis
requires a subdiffusive bound on the variance of the quenched mean, under an ergodic invariant measure for the environment
chain.
T. Sepp?l?inen was partially supported by National Science Foundation grant DMS-0402231. 相似文献
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Acta Mathematica Hungarica - 相似文献
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Frank N. Proske Madan L. Puri 《Proceedings of the American Mathematical Society》2002,130(5):1493-1501
In this paper we prove a central limit theorem for Borel measurable nonseparably valued random elements in the case of Banach space valued fuzzy random variables.
12.
The domain of definition of the divergence operator δ on an abstract Wiener space (W,H,μ) is extended to include W–valued and – valued “integrands”. The main properties and characterizations of this extension are derived and it is shown that in some
sense the added elements in δ’s extended domain have divergence zero. These results are then applied to the analysis of quasiinvariant flows induced by
W-valued vector fields and, among other results, it turns out that these divergence-free vector fields “are responsible” for
generating measure preserving flows.
Mathematics Subject Classification (2000): Primary 60H07, Secondary 60H05
An erratum to this article is available at . 相似文献
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Qunying Wu 《Proceedings Mathematical Sciences》2011,121(3):369-377
Consider the weight function sequences of NA random variables. This paper proves that the almost sure central limit theorem
holds for the weight function sequences of NA random variables. Our results generalize and improve those on the almost sure
central limit theorem previously obtained from the i.i.d. case to NA sequences. 相似文献
16.
Ernst Eberlein 《Probability Theory and Related Fields》1979,50(2):119-133
Summary It is shown that for -mixing arrays of Banach space valued random vectors the central limit theorem implies the invariance principle. Applying this result to lattices of random variables a higher dimensional invariance principle under dependence assumptions is obtained.Dedicated to Professor Leopold Schmetterer 相似文献
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