共查询到20条相似文献,搜索用时 15 毫秒
1.
Hong Yan Sun 《数学学报(英文版)》2014,30(1):69-78
We establish a central limit theorem for a branching Brownian motion with random immigration under the annealed law,where the immigration is determined by another branching Brownian motion.The limit is a Gaussian random measure and the normalization is t3/4for d=3 and t1/2for d≥4,where in the critical dimension d=4 both the immigration and the branching Brownian motion itself make contributions to the covariance of the limit. 相似文献
2.
We provide a result on an approximation to the generalized multifractional Brownian motion in the space of continuous functions on [0, 1]. The construction of this approximation is based on the Poisson process. 相似文献
3.
A. Val Antonyuk A. Vikt Antonyuk Yu. G. Kondrat'ev 《Ukrainian Mathematical Journal》1995,47(3):351-359
For Gibbs temperature states, the scheme of the proof of the noncommutative central limit theorem is given by using the commutative central limit theorem for corresponding Euclidean measures. Applications are constructed for the model of a temperature-anharmonic crystal and the generalized Ising model with compact continuous configuration space.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 3, pp. 299–306, March, 1995.This work was partially supported by the Foundation for Fundamental Research of the Ukrainian State Committee on Science and Technology. 相似文献
4.
V. P. Demichev 《Mathematical Notes》2014,95(1-2):191-201
Integrals with respect to stationary random measures are considered. A central limit theorem for such integrals is proved. The results are applied to obtain a functional central limit theorem for transformed solutions of the Burgers equation with random initial data. 相似文献
5.
Motivated by applications to quantum field theory, we consider Gibbs measures for which the reference measure is Wiener measure and the interaction is given by a double stochastic integral and a pinning external potential. In order to properly characterize these measures through Dobrushin‐Lanford‐Ruelle (DLR) equations, we are led to lifting Wiener measure and other objects to a space of configurations where the basic observables are not only the position of the particle at all times but also the work done by test vector fields. We prove existence and basic properties of such Gibbs measures in the weak coupling regime by means of cluster expansion. © 2008 Wiley Periodicals, Inc. 相似文献
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Roland Speicher 《Mathematische Zeitschrift》1992,209(1):55-66
This work has been supported by the Deutsche Forschungsgemeinschaft (SFB 123) 相似文献
8.
Recently, Hwang proved a central limit theorem for restricted Λ-partitions, where Λ can be any nondecreasing sequence of integers tending to infinity that satisfies certain technical conditions. In particular, one of these conditions is that the associated Dirichlet series has only a single pole on the abscissa of convergence. In the present paper, we show that this condition can be relaxed, and provide some natural examples that arise from the study of integers with restrictions on their digital (base-b) expansion. 相似文献
9.
Recently, Hwang proved a central limit theorem for restricted Λ-partitions, where Λ can be any nondecreasing sequence of integers tending to infinity that satisfies certain technical conditions. In particular, one of these conditions is that the associated Dirichlet series has only a single pole on the abscissa of convergence. In the present paper, we show that this condition can be relaxed, and provide some natural examples that arise from the study of integers with restrictions on their digital (base-b) expansion. 相似文献
10.
Proceedings - Mathematical Sciences - A new central limit theorem for independent summands is obtained. In the case of identically distributed summands, it is stronger than the Lévy-Lindeberg... 相似文献
11.
Yu. V. Borovskikh 《Ukrainian Mathematical Journal》1989,41(2):240-242
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 2, pp. 269–271, February, 1989. 相似文献
12.
Probability Theory and Related Fields - 相似文献
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14.
A central limit theorem for convex sets 总被引:4,自引:1,他引:3
B. Klartag 《Inventiones Mathematicae》2007,168(1):91-131
We show that there exists a sequence for which the following holds: Let K⊂ℝn be a compact, convex set with a non-empty interior. Let X be a random vector that is distributed uniformly in K. Then there exist a unit vector θ in ℝn, t0∈ℝ and σ>0 such that
where the supremum runs over all measurable sets A⊂ℝ, and where 〈·,·〉 denotes the usual scalar product in ℝn. Furthermore, under the additional assumptions that the expectation of X is zero and that the covariance matrix of X is the
identity matrix, we may assert that most unit vectors θ satisfy (*), with t0=0 and σ=1. Corresponding principles also hold for multi-dimensional marginal distributions of convex sets. 相似文献
15.
Survey on normal distributions,central limit theorem,Brownian motion and the related stochastic calculus under sublinear expectations 总被引:1,自引:0,他引:1
ShiGe Peng 《中国科学A辑(英文版)》2009,52(7):1391-1411
This is a survey on normal distributions and the related central limit theorem under sublinear expectation. We also present Brownian motion under sublinear expectations and the related stochastic calculus of Itô’s type. The results provide new and robust tools for the problem of probability model uncertainty arising in financial risk, statistics and other industrial problems. 相似文献
16.
Greg Kuperberg 《Transactions of the American Mathematical Society》2005,357(2):459-471
We prove a central limit theorem for non-commutative random variables in a von Neumann algebra with a tracial state: Any non-commutative polynomial of averages of i.i.d. samples converges to a classical limit. The proof is based on a central limit theorem for ordered joint distributions together with a commutator estimate related to the Baker-Campbell-Hausdorff expansion. The result can be considered a generalization of Johansson's theorem on the limiting distribution of the shape of a random word in a fixed alphabet as its length goes to infinity.
17.
Jérôme Dedecker 《Probability Theory and Related Fields》1998,110(3):397-426
Summary. We prove a central limit theorem for strictly stationary random fields under a projective assumption. Our criterion is similar
to projective criteria for stationary sequences derived from Gordin's theorem about approximating martingales. However our
approach is completely different, for we establish our result by adapting Lindeberg's method. The criterion that it provides
is weaker than martingale-type conditions, and moreover we obtain as a straightforward consequence, central limit theorems
for α-mixing or φ-mixing random fields.
Received: 19 February 1997 / In revised form: 2 September 1997 相似文献
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19.
《Optimization》2012,61(3):411-418
In the paper a central limit theorem for the total busy time of a Markovian queuing system is proved (provided that the system satisfies some simple assumptions), This is based on a stochastic convergence theorem for the average number of services. The latter is presented in a form of “law of large numbers” as well. The case of bounded queue length is particularly analysed. 相似文献
20.
A central limit theorem for generalized quadratic forms 总被引:1,自引:0,他引:1
Peter de Jong 《Probability Theory and Related Fields》1987,75(2):261-277