Sample behavior and laws of large numbers for Gaussian random elements.
Ergemlidze, Z., Shangua, A., Tarieladze, V. (2003)
Georgian Mathematical Journal
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Displaying similar documents to “Unconditional convergence of random series and the geometry of Banach spaces.”
Sample behavior and laws of large numbers for Gaussian random elements.
Hölder versions of Banach space valued random fields.
Račkauskas, Alfredas, Suquet, Charles (2001)
Georgian Mathematical Journal
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On the Itô formula in a Banach space.
Mamporia, B. (2000)
Georgian Mathematical Journal
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Notes on the unconditional convergence of multidimensional functional series.
Bareladze, G. (2000)
Georgian Mathematical Journal
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The Bochner mean square deviation and law of large numbers for squares of random elements in Banach lattices.
Matsak, Ivan, Plichko, Anatolij (2002)
Georgian Mathematical Journal
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Approximation of common random fixed points of finite families of N-uniformly -Lipschitzian asymptotically hemicontractive random maps in Banach spaces.
Moore, Chika, Nnanwa, C.P., Ugwu, B.C. (2009)
Banach Journal of Mathematical Analysis [electronic only]
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Convergence to zero and boundedness of operator-normed sums of random vectors with application to autoregression processes.
Buldygin, V.V., Koval, V.A. (2001)
Georgian Mathematical Journal
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-convergence.
Nguetseng, Gabriel, Svanstedt, Nils (2011)
Banach Journal of Mathematical Analysis [electronic only]
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The Doob inequality and strong law of large numbers for multidimensional arrays in general Banach spaces
Nguyen Van Huan, Nguyen Van Quang (2012)
Kybernetika
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We establish the Doob inequality for martingale difference arrays and provide a sufficient condition so that the strong law of large numbers would hold for an arbitrary array of random elements without imposing any geometric condition on the Banach space. Some corollaries are derived from the main results, they are more general than some well-known ones.
Hilbert space valued generalized random processes. I.
Seleši, Dora (2007)
Novi Sad Journal of Mathematics
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On the strong convergence for weighted sums of asymptotically almost negatively associated random variables
Haiwu Huang, Guangming Deng, QingXia Zhang, Yuanying Jiang (2014)
Kybernetika
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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.