Random Sums Of Random Vectors
E. Omey (1990)
Publications de l'Institut Mathématique
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Displaying similar documents to “Limit theorems for randomly indexed sums of random vectors”
Random Sums Of Random Vectors
On the limit behaviour of sums of a random number of independent random variables
Z. Rychlik, D. Szynal (1973)
Colloquium Mathematicae
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A central limit theorem for sums of a random number of independent random variables
Zdzisław Rychlik (1976)
Colloquium Mathematicae
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A Characteristic Property for Maxima of Random Variables with Trivial Analogue When Sums are Concerned
Slobodanka Janković (1987)
Publications de l'Institut Mathématique
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On the law of the iterated logarithm for increments of sums of independent random variables.
Frolov, A.N. (2004)
Zapiski Nauchnykh Seminarov POMI
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Strong Convergence for weighed sums of negatively superadditive dependent random variables
Zhiyong Chen, Haibin Wang, Xuejun Wang, Shuhe Hu (2016)
Kybernetika
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In this paper, the strong law of large numbers for weighted sums of negatively superadditive dependent (NSD, in short) random variables is obtained, which generalizes and improves the corresponding one of Bai and Cheng ([2]) for independent and identically distributed random variables to the case of NSD random variables.
On limit distribution theorems for sums of a random number of random variables appearing in the study of rarefaction of a recurrent process
D. Szynal (1976)
Applicationes Mathematicae
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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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Gaussian Approximation of Moments of Sums of Independent Random Variables
Marcin Lis (2012)
Bulletin of the Polish Academy of Sciences. Mathematics
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We continue the research of Latała on improving estimates of the pth moments of sums of independent random variables with logarithmically concave tails. We generalize some of his results in the case of 2 ≤ p ≤ 4 and present a combinatorial approach for even moments.
Convergence rates for weighted sums of random variables with random indices
D. Szynal, A. Zapała (1977)
Colloquium Mathematicae
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Asymptotics for Products of a Random Number of Partial Sums
Marcin Przystalski (2009)
Bulletin of the Polish Academy of Sciences. Mathematics
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We consider products of a random number of partial sums of independent, identically distributed, positive square-integrable random variables. We show that the distribution of these products is asymptotically lognormal.
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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Uniform integrability and convergence in the pth-mean of randomly weighted sums
M. Ordóñez Cabrera (1989)
Extracta Mathematicae
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