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Tail Probabilities of Randomly Weighted Sums of Random Variables with Dominated Variation

Stochastic Models, 2006
This 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
openaire   +1 more source

Convergence of randomly weighted sums for arrays under a condition of integrability

2011 International Conference on Multimedia Technology, 2011
Let {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, 2018
ABSTRACTIn 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
openaire   +1 more source

A Kesten-type bound for sums of randomly weighted subexponential random variables

Statistics & Probability Letters, 2020
zbMATH 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, 2023
Shigekatzu Nagata
exaly  

Towards precision oncology with patient-derived xenografts

Nature Reviews Clinical Oncology, 2022
Elena Grassi, Livio Trusolino
exaly  

How chemokines organize the tumour microenvironment

Nature Reviews Cancer, 2023
Thorsten R Mempel
exaly  

Forward-genetics analysis of sleep in randomly mutagenized mice

Nature, 2016
Hiromasa Funato   +2 more
exaly  

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