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Start Over Subject strong convergence

1. Convergence of the tail probability for weighted sums of negatively orthant dependent random variables

Creator:
Huang, Haiwu, Li, Linyan, and u, Xuewen
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
strong convergence, negatively orthant dependent random variables, and the tail probability
Language:
English
Description:
In this research, strong convergence properties of the tail probability for weighted sums of negatively orthant dependent random variables are discussed. Some sharp theorems for weighted sums of arrays of rowwise negatively orthant dependent random variables are established. These results not only extend the corresponding ones of Cai \cite{4}, Wang et al. \cite{19} and Shen \cite{13}, but also improve them, respectively.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. Nearly disjoint sequences in convergence l-groups

Creator:
Jakubík, Ján
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
nearly disjoint sequence, strong convergence, and convergence \ell-group
Language:
English
Description:
For an abelian lattice ordered group G let conv G be the system of all compatible convergences on G; this system is a meet semilattice but in general it fails to be a lattice. Let and be the convergence on G which is generated by the set of all nearly disjoint sequences in G, and let a be any element of conv G. In the present paper we prove that the join and V a does exist in conv G.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

3. On the Nörlund means of Vilenkin-Fourier series

Creator:
Blahota, István, Persson, Lars-Erik, and Tephnadze, Giorgi
Format:
print, bez média, and svazek
Type:
model:article and TEXT
Subject:
matematika, mathematics, Vilenkin system, Vilenkin group, Nörlund means, martingale Hardy space, maximal operator, Vilenkin-Fourier series, strong convergence, inequality, 13, and 51
Language:
English
Description:
We prove and discuss some new (Hp,Lp)-type inequalities of weighted maximal operators of Vilenkin-Nörlund means with non-increasing coefficients {q_{k}:k\geqslant 0}. These results are the best possible in a special sense. As applications, some well-known as well as new results are pointed out in the theory of strong convergence of such Vilenkin-Nörlund means. To fulfil our main aims we also prove some new estimates of independent interest for the kernels of these summability results. In the special cases of general Nörlund means tn with non-increasing coefficients analogous results can be obtained for Fejér and Cesàro means by choosing the generating sequence {q_{k}:k\geqslant 0} in an appropriate way., István Blahota, Lars-Erik Persson, Giorgi Tephnadze., and Obsahuje seznam literatury
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

4. On the strong convergence for weighted sums of asymptotically almost negatively associated random variables

Creator:
Huang, Haiwu, Deng, Guangming, Zhang, Qingxia, and Jiang, Yuanying
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
AANA random variables, strong convergence, and weighted sums
Language:
English
Description:
Applying the moment inequality of asymptotically almost negatively associated (AANA, in short) random variables which was obtained by Yuan and An (2009), some strong convergence results for weighted sums of AANA random variables are obtained without assumptions of identical distribution, which generalize and improve the corresponding ones of Zhou et al. (2011), Sung (2011, 2012) to the case of AANA random variables, respectively.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public