On the limit behaviour of sums of a random number of independent random variables

Z. Rychlik; D. Szynal

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A central limit theorem for sums of a random number of independent random variables

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Limit theorems for randomly indexed sums of random vectors

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A Characteristic Property for Maxima of Random Variables with Trivial Analogue When Sums are Concerned

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Random sum Limit Theorems for Nonidentically Distributed Random Variables

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On limit distribution theorems for sums of a random number of random variables appearing in the study of rarefaction of a recurrent process

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Strong Convergence for weighed sums of negatively superadditive dependent random variables

Zhiyong Chen, Haibin Wang, Xuejun Wang, Shuhe Hu (2016)

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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.