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搜索结果: 1-15 共查到知识库 Random Vectors相关记录20条 . 查询时间(0.019 秒)
We prove a local limit the sums of independent random vectors satisfying appropriate tightness assumptions. In particular, the local limit theorem holds in dimension 1 if the summands are uniformly bo...
Abstract: We establish new tail estimates for order statistics and for the Euclidean norms of projections of an isotropic log-concave random vector. More generally, we prove tail estimates for the nor...
Abstract: This paper studies the effect of truncation on the large deviations behavior of the partial sum of a triangular array coming from a truncated power law model. Each row of the triangular arra...
Abstract: In a recent paper, Michalowicz et al. provide an extension of Isserlis theorem to the case of a Bernoulli location mixture of a Gaussian vector. We extend here this result to the case of any...
We discuss a conjecture about comparability of weak and strong moments of log-concave random vectors and show the conjectured inequality for unconditional vectors in normed spaces with a bounded cotyp...
The paper is divided into two parts. In the first part we lay down the foundation for defining the joint annihilation–preservation–creation decomposition of a finite family of, not necessarily commut...
A roumula for the density of the norm of stable random vectors in Hilbert spaces
Complements on decoupling inequalities for multilinear functions in stable random vectors
For a symmetric a-stable random vector (XI.,. . , X,,X ,+ ,) with 1 < a < 2 and spectral measure r, we find a necessary and sufficient condition in terms of r for the conditional variance Var(X,+l ...
Let (5,J be a sequence of random vectors with values in a Banach space X with distributions pen weakly converging to a given distribution p. We characterize a general form of a distribution of a we...
An SorS random vector X is pserbstable, or < fl d 2, if X: YeiM for some symmetric /?-stable random vector Y, 8 3 0 a random variable with the Laplace transform exp {-@), Y and B are independent. W...
The sums of i.i.d. random vectors with compactly supported and absolutely continuous distribution are considered. Under some conditions the strong form of the local limit theorem for large deviatio...
It is shown that the tail probabilities of a strictly (r, a)-semistable (0 < r < 1,0 < n < 2, a # 1) Banach space valued random vector X and its symmetrized counterpart are "uniformly" comparable i...

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