A strong law of large numbers for harmonizable isotropic random fields.
Swift, Randall J. (1997)
Journal of Applied Mathematics and Stochastic Analysis
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Displaying similar documents to “Exact rate of convergence for increments of random fields.”
A strong law of large numbers for harmonizable isotropic random fields.
On the convergence of sequences of stochastic processes
František Zítek (1963)
Časopis pro pěstování matematiky
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On the convergence of moments in the CLT for triangular arrays with an application to random polynomials
Christophe Cuny, Michel Weber (2006)
Colloquium Mathematicae
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We give a proof of convergence of moments in the Central Limit Theorem (under the Lyapunov-Lindeberg condition) for triangular arrays, yielding a new estimate of the speed of convergence expressed in terms of νth moments. We also give an application to the convergence in the mean of the pth moments of certain random trigonometric polynomials built from triangular arrays of independent random variables, thereby extending some recent work of Borwein and Lockhart.
On complete convergence for randomly indexed sums for a case without identical distributions.
Kuczmaszewska, Anna, Szynal, Dominik (1997)
International Journal of Mathematics and Mathematical Sciences
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Limiting behaviour of moving average processes based on a sequence of mixing and negatively associated random variables.
Budsaba, Kamon, Chen, Pingyan, Volodin, Andrei (2007)
Lobachevskii Journal of Mathematics
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Random sum Limit Theorems for Nonidentically Distributed Random Variables
Slobodanka Janković (1990)
Publications de l'Institut Mathématique
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Editorial - Spring School Mons Random differential equations and gaussian fields
Jacques Istas, Serge Cohen (2012)
ESAIM: Probability and Statistics
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Complete convergence of weighted sums for arrays of rowwise -mixing random variables
Xinghui Wang, Xiaoqin Li, Shuhe Hu (2014)
Applications of Mathematics
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In this paper, we establish the complete convergence and complete moment convergence of weighted sums for arrays of rowwise -mixing random variables, and the Baum-Katz-type result for arrays of rowwise -mixing random variables. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for sequences of -mixing random variables is obtained. We extend and complement the corresponding results of X. J. Wang, S. H. Hu (2012).
On complete convergence of the sum of a random number of stable type random elements.
Adler, André, Volodin, Andrey (1995)
International Journal of Mathematics and Mathematical Sciences
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Convergence rates for weighted sums of random variables with random indices
D. Szynal, A. Zapała (1977)
Colloquium Mathematicae
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Convergence rates for quadratic forms of random variables
A. Zapała (1979)
Banach Center Publications
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