共查询到20条相似文献,搜索用时 15 毫秒
1.
Eric S. Key 《Journal of Theoretical Probability》1996,9(2):413-428
Suppose thatX
1,X
2, ... is a sequence of i.i.d. random variables taking value inZ
+. Consider the random sequenceA(X)(X
1,X
2,...). LetY
n
be the number of integers which appear exactly once in the firstn terms ofA(X). We investigate the limit behavior ofY
n
/E[Y
n
] and establish conditions under which we have almost sure convergence to 1. We also find conditions under which we dtermine the rate of growth ofE[Y
n
]. These results extend earlier work by the author. 相似文献
2.
邱德华 《数学的实践与认识》2008,38(1):155-158
利用鞅差序列级数的收敛定理和条件三级数定理研究了任意随机变量序列级数的强收敛性,推广了某些经典的鞅差序列和独立随机变量序列及两两NQD序列的强极限定理. 相似文献
3.
混合序列加权和的强收敛性 总被引:29,自引:0,他引:29
本文给出混合序列加权和的强收敛性的一些充分条件,这些结论推广和改进了文[1]定理3,文[2]定理3;文[3]定理4.15以及文[4]定理4. 相似文献
4.
H. S. Özarslan 《Proceedings Mathematical Sciences》2003,113(2):165-169
In this paper, by using an almost increasing and δ-quasi-monotone sequence, a general theorem on φ- | C, α |
k summability factors, which generalizes a result of Bor [3] on φ |C, 1|
k summability factors, has been proved under weaker and more general conditions. 相似文献
5.
6.
7.
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
8.
C. C. Y. Dorea 《Journal of Optimization Theory and Applications》1985,47(1):117-116
Some explanatory remarks are presented, relevant to the objections by Pang (Ref. 1) to Dorea's paper (Ref. 2). 相似文献
9.
λ-STATISTICAL CONVERGENCE OF ORDER α 总被引:3,自引:1,他引:2
In this paper,we introduce the concept of λ-statistical convergence of order α.Also some relations between the λ-statistical convergence of order α and strong(V,λ)-summability of order α are given. 相似文献
10.
It is natural to expect that lacunary almost convergence must be related to the some concept of lacunary almost bounded variations
in the some view as almost convergence is related to almost bounded variation. The purpose of this paper is to examine this
new concept in some details. Some inclusion theorems have been established.
Communicated by Pavel Kostyrko 相似文献
11.
The paper presents a convergence proof for a broad class of sampling algorithms for multistage stochastic linear programs in which the uncertain parameters occur only in the constraint right-hand sides. This class includes SDDP, AND, ReSa, and CUPPS. We show that, under some independence assumptions on the sampling procedure, the algorithms converge with probability 1.The first author acknowledges support by the Swiss National Science Foundation. The second author acknowledges support by NZPGST Grant UOAX0203. The authors are grateful to the anonymous referees for comments improving the exposition of this paper. 相似文献
12.
13.
Let V be a star shaped region. In 2006, Colzani, Meaney and Prestini proved that if function f satisfies some condition, then the multiplier transform with the characteristic function of tV as the multiplier tends to f almost everywhere, when t goes to∞. In this paper we use a Theorem established by K.K.Chen to show that if we change their multiplier, then the condition on f can be weakened. 相似文献
14.
Y. S. Rama Krishnaiah 《Statistics & probability letters》1990,10(5):439-447
Given \s{Xi, i 1\s} as non-stationary strong mixing (n.s.s.m.) sequence of random variables (r.v.'s) let, for 1 i n and some γ ε [0, 1], and . For any real sequence \s{Ci\s} satisfying certain conditions, let .
F1(x)=γP(Xi<x)+(1-γ)P(Xix)
Ii(x)=γI(Xi<x)+(1-γ)I(Xix)
In this paper an exponential type of bound for P(Dn ), for any >0, and a rate for the almost sure convergence of Dn are obtained under strong mixing. These results generalize those of Singh (1975) for the independent and non-identically distributed sequence of r.v.'s to the case of strong mixing. 相似文献
15.
16.
Convergence of Jamison-Type Weighted Sums of Pairwise Negatively Quadrant Dependent Random Variables
Han-ying LIANG Zhi-jing Chen Chun SUDepartment of Applied Mathematics Tongji University Shanghai ChinaDepartment of Statistics Finance University of Science Technology of China Hefei China 《应用数学学报(英文版)》2002,18(1):161-168
Abstract Under very general weight function,we discuss the convergence of Jamison-type weighted sums ofpairwise negatively quadrant dependent(NQD)r.v.'s.The results on.i.i.d.setting of [3] and [1] are extendedand generalized.As corollaries,we obtain some results of [11]. 相似文献
17.
通过对数组加权系数的列截尾,研究了B值随机一致有界序列加权和的收敛性,获得了相应的几乎处处收敛和完全收敛到0的结果.最后建立了B值随机适应序列加权和的矩收敛定理. 相似文献
18.
Juan M. Medina B. Cernuschi-Frí as 《Proceedings of the American Mathematical Society》2007,135(11):3561-3569
Here we study the almost sure almost everywhere convergence of random series of the form in the Lebesgue spaces , where the 's are centered random variables, and the 's constitute an unconditional basic sequence or an stable sequence. We show that if one of these series converges in the norm topology almost surely, then it converges almost everywhere almost surely.
19.
本文在相依序列下考虑加权和的a.s.收敛性和完全收敛性.所得结论推广并改进了[1]、[2]中有关结论. 相似文献