共查询到20条相似文献,搜索用时 453 毫秒
1.
Chuan-rongLu 《应用数学学报(英文版)》2003,19(4):641-646
In this paper, we obtain the invariance principle for linear processes generated by a negatively associated sequence. 相似文献
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随机变量的负超可加相依及其应用 总被引:7,自引:0,他引:7
一个随机向量X=(X1,X2,...,Xm)称为负超可加相依(NSD),如果对每个超可加函数Х,EХ(X1,X2,...,Xm)≥EХ(Y1,Y2,...,Ym),其中Y1,Y2,...,Ym相互独立且对任意i,Yi=dXi,本文研究了NSD的基本性质,给出了NSD判定的三个结构 定理,并且这些定理可用来证明许多著名的多元分布具有NSD性质,本文还给出了NAD的许多概率不等式。 相似文献
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江寅生 《数学物理学报(B辑英文版)》2011,31(3):993-1000
Let ∠= -△H~n+ V be the Schrdinger operator on the Heisenberg groups H~n,where V is a nonnegative function satisfying the reverse Hlder inequality. In this article, the author obtains the BMO_∠ and BLO_∠ estimates of the fractional integrals associated to ∠. 相似文献
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BCI代数的软关联理想和软正定关联理想 总被引:1,自引:0,他引:1
给出BCI代数的软关联理想和软正定关联理想的概念,讨论软理想、软关联理想和软正定关联理想三者之间的关系,研究了两个软关联理想(软正定关联理想)的扩展交、限制交、限制并和限制差分的性质。 相似文献
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周积团 《纯粹数学与应用数学》2001,17(4):337-342
在R.E.Hartwig工作的基础上进一步研究了轻矩阵,得到了轻矩阵的一些特性,且把轻矩阵推广到了广义轻矩阵,得到了广义轻矩阵的一个充要条件;部分回答了文[1]中R.E.Harwtig提出的一个公开问题:当A与B都为n除非负矩阵时,刻划方程AX=XB的非负解。 相似文献
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1引言设A是n阶非负方阵.设矩阵方程(1)AXA=A,(2)XAX=X,(3)(AX)~T= AX,(4)(XA)~T=XA,(5)AX=XA.A具有非负广义逆是指存在非负方阵X满足方程(1)~(4),并记为A~(?).A具有非负群逆是指存在非负方阵X满足方程(1),(2),(5),并记为A~#.在A~(?)存在的前提下,两者相同的充分必要条件有(a)AA~(?)=A~(?)A;(b)A~(?)=p(A),其 相似文献
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渐近负相关随机域强定律的收敛率 总被引:3,自引:0,他引:3
In this paper,a notion of negative side ρ-mixing (ρ--mixing) which can be regarded as asymptotic negative association is defined,and some Rosenthal type inequalities for ρ--mixing random fields are established. The complete convergence and almost sure summability on the convergence rates with respect to the strong law of large numbers are also discussed for ρ--mixing random fields. The results obtained extend those for negatively associated sequences and ρ*-mixing random fields. 相似文献
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A central limit theorem for negatively associated random fields is established under the fairly general conditions. We use the finite second moment condition instead of the finite (2+)th moment condition used by Roussas.(15) A similar result is also given for positively associated sequences. 相似文献
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Justin Salez 《Random Structures and Algorithms》2013,43(3):377-397
Using the theory of negative association for measures and the notion of unimodularity for random weak limits of sparse graphs, we establish the validity of the cavity method for counting spanning subgraphs subject to local constraints in asymptotically tree‐like graphs. Specifically, the normalized logarithm of the associated partition function (free energy) is shown to converge along any sequence of graphs whose random weak limit is a tree, and the limit is directly expressed in terms of the unique solution to a limiting cavity equation. On a Galton–Watson tree, the latter simplifies into a recursive distributional equation which can be solved explicitly. As an illustration, we provide a new asymptotic formula for the maximum size of a b‐matching in the Erd?s–Rényi random graph with fixed average degree and diverging size, for any $b\in\mathbb{N}Using the theory of negative association for measures and the notion of unimodularity for random weak limits of sparse graphs, we establish the validity of the cavity method for counting spanning subgraphs subject to local constraints in asymptotically tree‐like graphs. Specifically, the normalized logarithm of the associated partition function (free energy) is shown to converge along any sequence of graphs whose random weak limit is a tree, and the limit is directly expressed in terms of the unique solution to a limiting cavity equation. On a Galton–Watson tree, the latter simplifies into a recursive distributional equation which can be solved explicitly. As an illustration, we provide a new asymptotic formula for the maximum size of a b‐matching in the Erd?s–Rényi random graph with fixed average degree and diverging size, for any $b\in\mathbb{N}$. To the best of our knowledge, this is the first time that correlation inequalities and unimodularity are combined together to yield a general proof of uniqueness of Gibbs measures on infinite trees. We believe that a similar argument is applicable to other Gibbs measures than those over spanning subgraphs considered here. © 2012 Wiley Periodicals, Inc. Random Struct. Alg., 2013 相似文献
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We prove conditional negative association for random variables x j = 1 (j∈[n]:= {1…n}) , where σ(1)…σ(m) are i.i.d. from [n]. (The σ(i) 's are thought of as the locations of balls dropped independently into urns 1…n according to some common distribution, so that, for some threshold tj, x j is the indicator of the event that at least tj balls land in urn j.) We mostly deal with the more general situation in which the σ(i) 's need not be identically distributed, proving results which imply conditional negative association in the i.i.d. case. Some of the results—particularly Lemma 8 on graph orientations—are thought to be of independent interest. We also give a counterexample to a negative correlation conjecture of D. Welsh, a strong version of a (still open) conjecture of G. Farr. © 2012 Wiley Periodicals, Inc. Random Struct. Alg., 2012 相似文献
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From the ordinary notion of negative association for a sequence of random variables, a new concept called conditional negative
association is introduced. The relation between negative association and conditional negative association is answered, that
is, the negative association does not imply the conditional negative association, and vice versa. The basic properties of
conditional negative association are developed, which extend the corresponding ones under the non-conditioning setup. By means
of these properties, some Rosenthal type inequalities for maximum partial sums of such sequences of random variables are derived,
which extend the corresponding results for negatively associated random variables. As applications of these inequalities,
some conditional mean convergence theorems, conditionally complete convergence results and a conditional central limit theorem
stated in terms of conditional characteristic functions are established. In addition, some lemmas in the context are of independent
interest. 相似文献
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Empirical Euclidean likelihood for general estimating equations for association dependent processes is investigated. The strong consistency and asymptotic normality of the blockwise maximum empirical Euclidean likelihood estimator are presented. We show that it is more efficient than estimator without blocking. The blockwise empirical Euclidean log-likelihood ratio asymptotically follows a chi-square distribution. 相似文献
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Lixin Zhang 《数学学报(英文版)》2000,16(4):691-710
Abstract
The aim of this paper is to investigate the central limit theorems for asymptotically negatively dependent random fields under
lower moment conditions or the Lindeberg condition. Results obtained improve a central limit theorem of Roussas [11] for negatively
assiated fields and the main results of Su and Chi [18], and also include a central limit of theorem for weakly negatively
associated random variables similar to that of Burton et al. [20].
Research supported by National Natural Science Foundation of China (No. 19701011) 相似文献
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John Polhill 《组合设计杂志》2009,17(3):266-282
A partial difference set (PDS) having parameters (n2, r(n?1), n+r2?3r, r2?r) is called a Latin square type PDS, while a PDS having parameters (n2, r(n+1), ?n+r2+3r, r2 +r) is called a negative Latin square type PDS. There are relatively few known constructions of negative Latin square type PDSs, and nearly all of these are in elementary abelian groups. We show that there are three different groups of order 256 that have all possible negative Latin square type parameters. We then give generalized constructions of negative Latin square type PDSs in 2‐groups. We conclude by discussing how these results fit into the context of amorphic association schemes and by stating some open problems. © 2009 Wiley Periodicals, Inc. J Combin Designs 17: 266‐282, 2009 相似文献
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Consider a long term study, where a series of possibly censored failure times is observed. Suppose the failure times have a common marginal distribution functionF, but they exhibit a mode of dependence characterized by positive or negative association. Under suitable regularity conditions, it is shown that the Kaplan–Meier estimatorFnofFis uniformly strongly consistent; rates for the convergence are also provided. Similar results are established for the empirical cumulative hazard rate function involved. Furthermore, a stochastic process generated byFnis shown to be weakly convergent to an appropriate Gaussian process. Finally, an estimator of the limiting variance of the Kaplan–Meier estimator is proposed and it is shown to be weakly convergent. 相似文献