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ρ-混合序列加权和的完全收敛性 总被引:1,自引:0,他引:1
本文讨论了不同分布ρ-混合序列部分和的完全收敛性,建立了一个定理.然后通过此非加权和的完全收敛性定理来研究加权和的完全收敛性定理,从而改进了前人所获得的已有的一些结果. 相似文献
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利用混合随机变量的Rosenthal型不等式,研究了混合随机变量阵列加权和的完全收敛性,在更广泛的条件下,获得了完全收敛性的一般性定理和由混合随机变量序列生成的移动平均过程的完全收敛性定理,这些定理推广和改进了已知一些文献中相应的结果. 相似文献
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讨论了两两NQD阵列行和的弱收敛性、L_p收敛性和完全收敛性,在{X_(nk);1≤k≤k_n↑∞,n≥1}是Cesaro一致可积的相关条件下,获得了两两NQD阵列行和的弱收敛性、Lp收敛性和完全收敛性定理,将独立阵列行和的相关极限定理推广到了两两NQD阵列行和的情形. 相似文献
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研究(ρ)混合阵列行和的弱收敛性、Lp收敛性和完全收敛性,目的是把独立阵列行和的相关极限定理推广到(ρ)混合阵列行和的情形,在{Xnk;1≤k≤kn↑∞,n∈N}是Cesàro一致可积的相关条件下,利用截尾、概率不等式等手法,分别获得(ρ)混合阵列行和的弱收敛性、Lp收敛性和完全收敛性定理,推广了前人的一系列结果. 相似文献
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Complete convergence and complete moment convergence for martingale difference sequence 总被引:2,自引:0,他引:2
In the paper,we investigate the complete convergence and complete moment convergence for the maximal partial sum of martingale diference sequence.Especially,we get the Baum–Katz-type Theorem and Hsu–Robbins-type Theorem for martingale diference sequence.As an application,a strong law of large numbers for martingale diference sequence is obtained. 相似文献
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M. M. Chawla 《BIT Numerical Mathematics》1971,11(2):159-167
We determine (Theorem 3) the smallest closed region, containing the interva of integration, such that the analyticity of the integrand in this closed region implies the convergence of the Newton-Cotes quadratures. By considering, in particular, certain ellipses as regions of analyticity, we obtain (Theorem 4) an improvement of Davis' result on the convergence of Newton-Cotes quadratures for analytic functions. 相似文献
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Hideaki Iiduka Wataru Takahashi 《Nonlinear Analysis: Theory, Methods & Applications》2008,68(12):3679-3688
In this paper, we study a strong convergence for monotone operators. We first introduce the hybrid type algorithm for monotone operators. Next, we obtain a strong convergence theorem (Theorem 3.3) for finding a zero point of an inverse-strongly monotone operator in a Banach space. Finally, we apply our convergence theorem to the problem of finding a minimizer of a convex function. 相似文献
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We prove a complete converse of Aliprantis and Burkinshaw’s Theorem [2]. Also we obtain a generalization of Wickstead’s Theorem
[9] about this converse, and we give some interesting consequences.
revised 4 April, 18 October, and 26 December 2005 相似文献
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In this paper, we introduce and study vector valued multiplier spaces with the help of the sequence of continuous linear operators between normed spaces and Cesàro convergence. Also, we obtain a new version of the Orlicz–Pettis Theorem by means of Cesàro summability. 相似文献
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本文研究了行m-NA随机阵列的完全收敛性.利用文[8]中结果获得了m-NA列最大部分和的一个概率不等式,并根据该不等式和截尾的方法,探讨了行m-NA随机阵列的完全收敛性,获得了与行NA随机阵列情形类似的结果,简化了文[5]中定理1的证明. 相似文献
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In applications it often occurs that the experimenter is faced with functions of random processes. Suppose, for instance, that he only can draw partial or incomplete information about the underlying process or that he has to classify events for the sake of efficiency. We assume that the underlying process is a random system with complete connections (which contains the Markovian case as a special one) satisfying some basic properties, and that a mapping operates on the event space. With these two elements we construct in Section 2 a new random system with complete connections which inherits the properties of the old one (Theorem 2.2.3). In Section 3 we prove a weak convergence theorem (Theorem 3.4.4) in the theoretical framework of the so-called distance diminishing models, which gives a straightforward application in Section 4 to conditional probabilities related to partially observed events (Theorems 4.1.3). Finally we prove a Shannon-McMillan-type theorem (Theorem 4.2.3) finding application to classification procedures. 相似文献
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We determine the complete conjugate locus along all geodesics parallel or perpendicular to the center (Theorem 2.3). When the center is one-dimensional we obtain formulas in all cases (Theorem 2.5), and when a certain operator is also diagonalizable these formulas become completely explicit (Corollary 2.7). These yield some new information about the smoothness of the pseudoriemannian conjugate locus. We also obtain the multiplicities of all conjugate points.Mathematics Subject Classifications (2000): primary 53C50; secondary 22E25, 53B30, 53C30. 相似文献
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We consider the Central Limit Theorem with Gaussian limit distributions in stratified nilpotent Lie groups. We obtain estimates of the rate of convergence and Edgeworth expansions for expectations of smooth functionals. 相似文献