Sums and limits of almost continuous functions
Kenneth R. Kellum (1974)
Colloquium Mathematicae
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Displaying similar documents to “Almost sure central limit theorem without logarithmic sums.”
Sums and limits of almost continuous functions
-convergence of modified complex trigonometric sums.
Bhatia, S.S., Kaur, Kulwinder, Ram, Babu (2003)
Lobachevskii Journal of Mathematics
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Nonuniform central limit bounds and their applications
M. Polak, Z. Rychlik (1987)
Colloquium Mathematicae
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Convergence almost everywhere of sequences of measurable functions
Elżbieta Wagner, Władysław Wilczyński (1981)
Colloquium Mathematicae
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Almost convergence of vector sequences
D. Hajduković (1975)
Matematički Vesnik
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A note on the rate of complete convergence for maximums of partial sums for moving average processes in Rademacher type Banach spaces.
Chen, Pingyan, Hu, Tien-Chung, Volodin, Andrei (2006)
Lobachevskii Journal of Mathematics
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On Almost Everywhere Convergence.
C. Meaney, E. Prestini (1993)
Monatshefte für Mathematik
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On complete moment convergence for weighted sums of AANA random variables
Haiwu Huang, Hanjun Zhang, Qingxia Zhang (2016)
Kybernetika
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In this work, a complete moment convergence theorem is obtained for weighted sums of asymptotically almost negatively associated (AANA) random variables without assumption of identical distribution under some mild moment conditions. As an application, the complete convergence theorems for weighted sums of negatively associated (NA) and AANA random variables are obtained. The result not only generalizes the corresponding ones of Sung [13] and Huang et al. [8], but also improves them. ...
On a problem of A. Lupaş.
Agratini, Octavian (1998)
General Mathematics
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Necessary and Sufficiant Conditions on Rates of Convergence in the Multidimensional Central Limit Theorem.
R. Michel (1979)
Manuscripta mathematica
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Further study on complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated random variables
Haiwu Huang, Hanjun Zhang, Qingxia Zhang, Jiangyan Peng (2015)
Kybernetika
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In this paper, the authors further studied the complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated (AANA) random variables with non-identical distribution under some mild moment conditions. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for weighted sums of AANA random variables is obtained. The results not only generalize the corresponding ones of Wang et al. [19], but also partially improve the corresponding...