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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Displaying similar documents to “A central limit theorem for sums of a random number of independent random variables”
On the limit behaviour of sums of a random number of independent random variables
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Strong Convergence for weighed sums of negatively superadditive dependent random variables
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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.
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Frolov, A.N. (2004)
Zapiski Nauchnykh Seminarov POMI
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Lobachevskii Journal of Mathematics
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Nguyen, Quy Hy, Nguyen, Ngoc Cuong (2015-12-08T12:59:38Z)
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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.
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D. Szynal, A. Zapała (1977)
Colloquium Mathematicae
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