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Tail Probabilities of Randomly Weighted Sums of Random Variables with Dominated Variation
Stochastic Models, 2006This paper investigates the asymptotic behavior of tail probabilities of randomly weighted sums of independent heavy-tailed random variables, where the weights form another sequence of nonnegative and arbitrarily dependent random variables. The results obtained are further applied to derive asymptotic estimates for the ruin probabilities in a discrete ...
Dingcheng Wang, Qihe Tang
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Convergence of randomly weighted sums for arrays under a condition of integrability
2011 International Conference on Multimedia Technology, 2011Let {X ni , u n ≤ i ≤ ν n , n ≥ 1} and {A ni , u n ≤ i ≤ ν n , n ≥ 1} be two arrays of random variables. A new notion of integrability for an array of random variables {X ni } with respect to an array of random variables {A ni } is introduced, weak laws of large numbers for the randomly weighted sums equation are obtained.
null Xueping Hu +2 more
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Complete moment convergence for double-indexed randomly weighted sums and its applications
Statistics, 2018ABSTRACTIn this paper, we mainly study the complete moment convergence of double-indexed randomly weighted sums of negatively superadditive-dependent (NSD, for short) random variables, which is stronger than complete convergence. In addition, the Lr convergence of double-indexed randomly weighted sums of NSD random variables is also obtained.
Xuejun Wang, Yi Wu, Shuhe Hu
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A Kesten-type bound for sums of randomly weighted subexponential random variables
Statistics & Probability Letters, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Regulation of phospholipid distribution in the lipid bilayer by flippases and scramblases
Nature Reviews Molecular Cell Biology, 2023Shigekatzu Nagata
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Towards precision oncology with patient-derived xenografts
Nature Reviews Clinical Oncology, 2022Elena Grassi, Livio Trusolino
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How chemokines organize the tumour microenvironment
Nature Reviews Cancer, 2023Thorsten R Mempel
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Forward-genetics analysis of sleep in randomly mutagenized mice
Nature, 2016Hiromasa Funato +2 more
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