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设{Xi}∞i=1是一列独立同分布在图Γ=(V(Γ),E(Γ))上取值的随机元.本文给出在图上取值随机元的r-阶均值集与r-阶广义样本均值集的概念,将经典的Chebyshev及Hoeffding型不等式推广到图值随机元序列中. 相似文献
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§ 1. Introduction ConsiderasequenceofBernoullitrials ,andsupposethatateachtrialthebettorhasthefreechoiceofwhetherornottobet.Asystemconsistsinfixedrulesselectingthosetrialsonwhichtheplayeristobet.ThetheoremongamblingsystemassertsthatunderanysystemthesuccessivebetsformasequenceofBernoullitrialwithunchangedprobabilityforsuccess.TheimportanceofthisstatementwasfirstrecognizedbyvonMises,whointroducedtheimpossibili tyofasuccessfulgamblingsystemasafundamentalaxiom(cf.[1 ],[2 ],[3],[4]) .Thecon … 相似文献
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N值随机序列的随机选择的强极限定理 总被引:6,自引:0,他引:6
汪忠志 《纯粹数学与应用数学》1999,15(4):56-61
将赌博系统的随机选择理论扩展到N值随机序列,利用似然比概念及分析技术,得到一个随机选择下有序数偶相对频率的强极限定理 相似文献
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讨论了-般环境中二重随机游动的强泛函大数定律,给出了当过程几乎处处趋向于正无穷时的泛函大数定律成立的几个充分条件. 相似文献
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Let X,X1,X2,...be i.i.d.random variables with EX2 δ<∞(for some δ>0).Consider a one-dimensional random walk S={Sn}n≥0,starting from S0=0.Let ξk]=x}.A strong approximation of ξ*(n) by the local time for Wiener process is presented and the limsup-type and liminf-type laws of iterated logarithm of the maximum local time ξ*(n) are obtained.Furthermore,the precise asymptotics in the law of iterated logarithm of ξ*(n) is proved. 相似文献
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本文引进对数似然比作为任意离散随机变量序列相依性的一种度量,并通过限制似然比给出样本空间的某种子集,在这种子集上得到了离散随机变量序列的一类强极限定理,它包含若干经典强大数定律为其特例.在证明中本文提出了证明强极限定理的一种分析方法,其要点是将关于单调函数可微性的定理应用于几乎处处收敛的研究. 相似文献
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In this article, we mainly discuss the asymptotic behavior for multi-dimensional continuous-time random walk in random environment with holding times. By constructing a renewal structure and using the point "environment viewed from the particle", under General Kalikow's Condition, we show the law of large numbers (LLN) and central limit theorem (CLT) for the escape speed of random walk. 相似文献
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We consider a branching random walk with a random environment in time, in which the offspring distribution of a particle of generation n and the distribution of the displacements of its children depend on an environment indexed by the time n. The environment is supposed to be independent and identically distributed. For AR, let Zn(A) be the number of particles of generation n located in A. We show central limit theorems for the counting measure Zn(·) with appropriate normalization. 相似文献
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二重非齐次马氏链及其随机变换的若干强极限定理 总被引:5,自引:0,他引:5
利用鞅方法,给出二重非齐次马尔可夫链三元函数的几个强极限定理.作为特例,将赌博系统的随机变换概念推广到二重马氏链情形,得到二重马氏链随机选择与随机公平比的若干极限定理. 相似文献
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本文研究了NA随机变量的Egorov型强大数律.利用NA随机变量的概率不等式,得到了NA随机变量序列的Egorov型强大数律的一些等价条件,所获结果推广和改进了在独立随机变量序列的Egorov的结果和在NA随机变量序列已有的一些结果. 相似文献
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利用两两NQD列部分和矩不等式和截尾法,探讨了两两NQD列的完全收敛性和强大数定律,所获结论推广并改进了相关文献已有结果. 相似文献