Strong laws of large numbers for -valued random fields.

Lagodowski, Zbigniew A.

Displaying similar documents to “Strong laws of large numbers for $𝔹$ -valued random fields.”

A Hájek-Rényi type inequality and its applications.

Tómács, Tibor, Líbor, Zsuzsanna (2006)

Annales Mathematicae et Informaticae

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Complete convergence for negatively dependent sequences of random variables.

Wu, Qunying (2010)

Journal of Inequalities and Applications [electronic only]

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A strong limit theorem for weighted sums of sequences of negatively dependent random variables.

Wu, Qunying (2010)

Journal of Inequalities and Applications [electronic only]

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On convergence for sequences of pairwise negatively quadrant dependent random variables

Yongfeng Wu, Guangjun Shen (2014)

Applications of Mathematics

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In this paper, some new results on complete convergence and complete moment convergence for sequences of pairwise negatively quadrant dependent random variables are presented. These results improve the corresponding theorems of S. X. Gan, P. Y. Chen (2008) and H. Y. Liang, C. Su (1999).

Strong laws of large numbers for arrays of row-wise exchangeable random elements.

Taylor, Robert Lee, Patterson, Ronald Frank (1985)

International Journal of Mathematics and Mathematical Sciences

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Complete convergence for maximal sums of negatively associated random variables.

Kruglov, Victor M. (2010)

Journal of Probability and Statistics

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Exponential inequalities for sums of weakly dependent variables.

Delyon, Bernard (2009)

Electronic Journal of Probability [electronic only]

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Some mean convergence and complete convergence theorems for sequences of $m$ -linearly negative quadrant dependent random variables

Yongfeng Wu, Andrew Rosalsky, Andrei Volodin (2013)

Applications of Mathematics

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The structure of linearly negative quadrant dependent random variables is extended by introducing the structure of $m$ -linearly negative quadrant dependent random variables ( $m = 1, 2, \dots$ ). For a sequence of $m$ -linearly negative quadrant dependent random variables ${X_{n}, n \geq 1}$ and $1 < p < 2$ (resp. $1 \leq p < 2$ ), conditions are provided under which $n^{- 1 / p} \sum_{k = 1}^{n} (X_{k} - E X_{k}) \to 0$ in $L^{1}$ (resp. in $L^{p}$ ). Moreover, for $1 \leq p < 2$ , conditions are provided under which $n^{- 1 / p} \sum_{k = 1}^{n} (X_{k} - E X_{k})$ converges completely to $0$ . The current work extends some results of Pyke and Root (1968) and it extends and...

A proof of a non-commutative central limit theorem by the Lindeberg method.

Kargin, Vladislav (2007)

Electronic Communications in Probability [electronic only]

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Displaying similar documents to “Strong laws of large numbers for 𝔹 -valued random fields.”

Displaying similar documents to “Strong laws of large numbers for $𝔹$ -valued random fields.”