[PDF] Top 20 On the almost sure convergence of weighted sums of random elements in D[0,1]
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On the almost sure convergence of weighted sums of random elements in D[0,1]
... Taylor 1979 in that not only is convergence in the Skorohod topology replaced by convergence in the uniform norm but the restrictive condition of convex tightness is replaced by property[r] ... See full document
8
Complete convergence for sums of arrays of random elements
... B-valued random elements under the assump- tion that the weak law of large numbers (WLLN) holds (see, Kuelbs and Zinn [8], de Acosta [4], Choi and Sung [1, 2], Wang, Rao and Yang [10], Kuczmaszewska ... See full document
6
Complete Convergence of Weighted Sums for Asymptotically Almost Negatively Associated Sequences
... the almost sure convergence of weighted average, Kim, Ko and Lee [4] established the Ha- jek-Renyi type inequalities and Marcinkiewicz-Zygmund type SLLN, Cai [5] in- vestigated the complete ... See full document
9
On Complete Convergence for Arrays of Rowwise Mixing Random Variables and Its Applications
... independent random variables, complete convergence has been extensively investigated see, ...complete convergence for arrays of rowwise dependent random variables has been ...complete ... See full document
12
The complete convergence for weighted sums of dependent random fields
... -mixing random variables were investigated by Bryc and Smolenski [] (moment inequalities of partial sums), Bradley [, ] (equivalent mixing conditions and various limit properties), Peligrad [] (a ... See full document
8
The Almost Sure Convergence for Weighted Sums of Linear Negatively Dependent Random Variables
... In this paper, we generalize a theorem of Shao [12] by assuming that { X n } is a sequence of linear negatively dependent random variables. Also, we extend some theorems of Chao [6] and Thrum [14]. It is shown by ... See full document
6
Mean convergence theorems for weighted sums of random variables under a condition of weighted integrability
... 10. Ordóñez Cabrera, M, Rosalsky, A, Volodin, A: Some theorems on conditional mean convergence and conditional almost sure convergence for randomly weighted sums of dependent ... See full document
9
On the complete convergence for weighted sums of a class of random variables
... of weighted sums plays an important role in the statis- tics, such as jackknife estimate, nonparametric regression function estimate and so ...complete convergence of the weight sums of ... See full document
12
On Complete Convergence for Weighted Sums of Mixing Random Variables
... Throughout the paper, let IA be the indicator function of the set A. We assume that φx is a positive increasing function on 0, ∞ satisfying φx ↑ ∞ as x → ∞ and ψx is the inverse function of φx. Since φx ↑ ∞, it ... See full document
13
The moment of maximum normed randomly weighted sums of martingale differences
... randomly weighted sums have been an attractive research topic in the literature of applied ...the almost sure and complete convergence of randomly weighted sums of ... See full document
13
On complete convergence and complete moment convergence for weighted sums of \(\rho^{*}\) mixing random variables
... NA random variables. However, for ρ ∗ -mixing random variables, we do not know whether the corresponding exponential inequality holds or not, and so the method of Chen [15] does not work for ρ ∗ -mixing ... See full document
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Convergence of weighted sums of independent random variables and an extension to Banach space valued random variables
... Weighted Sums, Strong Law of Large Numbers, Almost Se Convergence, Generzed Gaussian Random Variables, Random Elements in Banach Space, Schauder Basis.. AMS MOS SUBJECT CLASSIFICATION 19[r] ... See full document
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Stability for randomly weighted sums of random elements
... = 1, 2, 3,...} be a sequence of i.i.d. random elements taking values in a separable Banach space of type p and let {A n,i : i = 1, ...= 1, 2, ... See full document
10
Complete convergence and complete moment convergence for weighted sums of m NA random variables
... for weighted sums of ...strong convergence of a weighted ...for weighted sums of ...of weighted sums of ... See full document
14
A note on the complete convergence for weighted sums of negatively dependent random variables
... complete convergence theorems for weighted sums of arrays of rowwise negatively dependent random variables were obtained by Wu (Wu, Q: Complete convergence for weighted ... See full document
10
A note on convergence of weighted sums of random variables
... Jamison, Orey and Pruitt [4] studied almost sure convergence of weighted sums under the assumption that the sequence Xn, n is independently identically distributed with.. One of the obje[r] ... See full document
8
Strong stability of weighted sums of NA random variables
... Remark 2.11. Since an independent random variable sequence is a special NA sequence, Theorems 2.1, 2.3, 2.7, 2.8, and 2.9 all hold true for independent random variable se- quences. So Theorems 2.1, 2.3, ... See full document
11
Almost sure central limit theorem for products of sums of partial sums
... positive random variables, for products of sums of partial sums we establish an almost sure central limit theorem, which holds for some class of unbounded measurable functions.. MSC: 60F[r] ... See full document
12
Strong convergence properties for ψ mixing random variables
... -mixing random variables, we obtain the Khintchine-Kolmogorov-type convergence theorem, which can be applied to establish the three series theorem and the Chung-type strong law of large numbers for ψ ... See full document
14
Convergence and almost sure T stability for a random iterative sequence generated by a generalized random operator
... Let (, , μ) be a complete probability measure space and (E, B(E)) be a measurable space, where E is a separable Banach space, B(E) is Borel sigma algebra of E, (, ) is a mea- surable space (-sigma algebra) and μ is a ... See full document
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