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Uniform Approximation for the Tail Behavior of Bidimensional Randomly Weighted Sums

Methodology and Computing in Applied Probability, 2023
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Xinmei Shen, Kailin Du
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Asymptotics for randomly weighted and stopped dependent sums

Stochastics, 2015
This paper deals with the tail probability of , where is a sequence of extended negatively upper orthant dependent or bivariate upper tail independent, identically distributed random variables with dominatedly varying tails, is a sequence of nonnegative nondegenerate at zero random variables (not necessarily independent and identically distributed), is
Yang Yang, Remigijus Leipus, Jonas Šiaulys   +2 more
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Second-order properties of tail probabilities of sums and randomly weighted sums

Extremes, 2015
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Mao, Tiantian, Ng, Kai Wang
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Stochastic convergence of randomly weighted sums of random elements

Stochastic Analysis and Applications, 1984
Let {Xn} be random elements in a separable Banach space and let {ank} be an array of random variables. Convergence in probability and almost surely is obtained for the weighted sum under varying distributional and moment conditions on the random weights and on the random elements and geometric conditions on Banach spaces.
Robert Lee Taylor, Carol Calhoun Raina, Peter Z. Daffer   +2 more
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Randomly weighted sums of dependent subexponential random variables*

Lithuanian Mathematical Journal, 2011
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Bivariate regular variation among randomly weighted sums in general insurance

European Actuarial Journal, 2019
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Chen, Yiqing, Yang, Yang
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Uniform estimate for the tail probabilities of randomly weighted sums

Acta Mathematicae Applicatae Sinica, English Series, 2014
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Wang, Yin-Feng, Yin, Chuan-Cun, Zhang, Xin-Sheng   +2 more
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Randomly weighted sums for exchangeable fuzzy random variables

Fuzzy Sets and Systems, 1995
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A Note on Randomly Weighted Sums of Dependent Subexponential Random Variables

Chinese Annals of Mathematics, Series B, 2020
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