共查询到20条相似文献,搜索用时 62 毫秒
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两两NQD列的收敛性质 总被引:82,自引:0,他引:82
本文首先给出两两 NQD列的 Kolmogorov型不等式,进而讨论两两 NQD列的收敛性质,获得了与独立情形一样的Baum和Katz完全收敛定理,几乎达到独立惰形著名的Marcinkiewicz强大数定律、三级数定理等结果. 相似文献
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独立随机变量和的强稳定性 总被引:1,自引:0,他引:1
独立随机变量和的强稳定性王启应(南京大学数学系,210008)国家自然科学基金资助的课题.1991年12月14日收到.设为i.i.d.的随机变量序列为两列常数.若,则称序列Sn关于是强稳定的.众所周知,对不同的常数列的强稳定性研究已取得了极为丰富的成... 相似文献
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梅国平 《高校应用数学学报(A辑)》1994,(3)
本文给出了E-值随机变量之部分和的大偏差定理(E是一类局部凸空间).作为其应用,解决了独立弱收敛随机变量列的经验分布的大偏差问题,从而推广了Donsker-Varadhan的结果。 相似文献
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设{xn,n≥1}是同分布的两两NQD列,记Sn=∑i=1Xi^n.本文讨论了max |Si|/i(n≥1)的分布函数的上下界.作为应用,获得了随机变量supn≥|Sn|/n型的1阶矩及p(〉1)阶矩分别存在有限的充分必要条件,这是一个与独立同分布场合相一致的结果. 相似文献
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关于不同分布两两NQD列的Jamison型加权乘积和的强稳定性 总被引:5,自引:0,他引:5
本文讨论了不同分布两两NQD列的Jamison型加权乘积和的强稳定性及乘积和的Marcinkiewicz型强大数律,推广并改进了Etemadi[1]关于不同分布两两独立列部分和的工作及Matula[2],王岳宝等[3]关于同分布两两NQD列部分和的工作. 相似文献
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关于两两NQD列的若干极限性质 总被引:32,自引:0,他引:32
本文讨论了两两NQD列的Marcinkiewicz型弱大数律及Jamison型加权和的强稳定性,指出了两两NQD列与独立列的一个本质性区别,从而提出了解决两两NQD旬几乎处处收敛和完全收敛的一种方式。 相似文献
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Dragan DJURCIC Aleksandar TORGASEV 《数学学报(英文版)》2006,22(3):689-692
In this paper, we prove some properties of the Seneta sequences and functions, and in particular we prove a representation theorem in the Karamata sense for the sequences from the Seneta class SOc. 相似文献
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John T. Conway 《Integral Transforms and Special Functions》2018,29(10):805-819
Sequences of new recurrence relations are presented for Bessel functions, parabolic cylinder functions and associated Legendre functions. The sequences correspond to values of an integer variable r and are generalizations of each conventional recurrence relation, which correspond to r=1. The sequences can be extended indefinitely, though the relations become progressively more intricate as r increases. These relations all have the form of a first-order linear inhomogeneous differential equation, which can be solved by an integrating factor. This gives a very general indefinite integral for each recurrence. The method can be applied to other special functions which have conventional recurrence relations. All results have been checked numerically using Mathematica. 相似文献
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We unify the three distinct inequality sequences (Abramowitz and Stegun (1972) [1, 9.5.2]) of positive real zeros of Bessel functions into a single one. 相似文献
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We introduce the notion of covering sequence of a Boolean function, related to the derivatives of the function. We give complete characterizations of balancedness, correlation immunity and resiliency of Boolean functions by means of their covering sequences. By considering particular covering sequences, we define subclasses of (correlation-immune) resilient functions. We derive upper bounds on their algebraic degrees and on their nonlinearities. We give constructions of resilient functions belonging to these classes. We show that they achieve the best known trade-off between order of resiliency, nonlinearity and algebraic degree. 相似文献
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M序列是一类最长的非线性伪随机序列.本文研究了在F2+vF2上生成M序列的非奇异反馈函数f(x1,x2,…,xn)所具有的3条性质:1)Rf≠f;2)Djf为互不相同的生成M序列的非奇异反馈函数(j=1,v,1+v);3)在f的多项式表达式中,常数项j0一定不为0;若线性项x2,x3,…,xn全出现,则它们的系数不能全为1或j0. 相似文献
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M序列是一类最长的非线性伪随机序列.本文研究了在F2+vF2上生成M序列的非奇异反馈函数f(x1,X2,…,xn)所具有的3条性质:1)Rf≠f;2)Djf为互不相同的生成M序列的非奇异反馈函数(j=1,v,1+v);3)在f的多项式表达式中,常数项j。一定不为0;若线性项x2,x3,…,xn全出现,则它们的系数不能全为1或j。 相似文献
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In this article we furnish a representation of the solutions of some classes of first-order and second-order evolution problems as limit of iterates of classical sequences of approximating operators. The method is based on Trotter's theorem on the approximation of semigroups which is applied here also for the approximation of groups and cosine functions. We apply this method in spaces of continuous periodic functions and using some classical sequences of trigonometric polynomials. 相似文献
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M. Campiti 《Applicable analysis》2013,92(13):2486-2496
We consider some Korovkin-type approximation results for sequences of linear continuous operators in spaces of vector-valued and set-valued continuous functions without assuming the existence of the limit operator. Even in spaces of real continuous functions, where similar results have already been established, we replace the positivity assumption with a weaker condition. We also give some quantitative estimate of the convergence and some applications where previous results cannot be applied. 相似文献
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Meng-Kuang Kuo 《数学物理学报(B辑英文版)》2011,31(3):1203-1212
The almost convergent function which was introduced by Raimi [6] and discussed by Ho [4], Das and Nanda [2, 3], is the continuous analogue of almost convergent sequences (see [5]). In this paper, we establish the Tauberian conditions and the Cauchy criteria for weak almost convergent functions on R~2+ . 相似文献
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Path-based distance functions are defined on n-dimensional generalizations of the face-centered cubic and body-centered cubic grids. The distance functions use both weights and neighborhood sequences. These distances share many properties with traditional path-based distance functions, such as the city-block distance, but are less rotational dependent. For the three-dimensional case, we introduce four different error functions which are used to find the optimal weights and neighborhood sequences that can be used to define the distance functions with low rotational dependency. 相似文献