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A note on the max-sum equivalence of randomly weighted sums of heavy-tailed random variables
This paper investigates the asymptotic behavior for the tail probability of the randomly weighted sums Pn k=1 θkXk and their maximum, where the random variables Xk and the random weights θk follow a certain dependence structure proposed by Asimit and ...
Yang Yang +3 more
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Tail Behavior of Randomly Weighted Sums [PDF]
Let {Xt, t ≥ 1} be a sequence of identically distributed and pairwise asymptotically independent random variables with regularly varying tails, and let {Θt, t ≥ 1} be a sequence of positive random variables independent of the sequence {Xt, t ≥ 1}. We will discuss the tail probabilities and almost-sure convergence of X(∞) = ∑t=1∞ΘtXt+ (where X+ = max{0,
Hazra, Rajat Subhra, Maulik, Krishanu
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Stability for randomly weighted sums of random elements [PDF]
Let {Xn : n = 1, 2, 3, …} be a sequence of i.i.d. random elements taking values in a separable Banach space of type p and let {An,i : i = 1, 2, 3, …; n = 1, 2, 3, …} be an array of random variables. In this paper, under various assumptions of {An,i}, the necessary and sufficient conditions for a.s. are obtained.
Tien-Chung Hu, Hen-Chao Chang
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Complete moment convergence for randomly weighted sums of martingale differences [PDF]
Abstract In this article, we obtain the complete moment convergence for randomly weighted sums of martingale differences. Our results generalize the corresponding ones for the nonweighted sums of martingale differences to the case of randomly weighted sums of martingale differences. MSC:60G50, 60F15.
Yang, Wenzhi +3 more
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The asymptotic distribution of randomly weighted sums and self-normalized sums
We consider the self-normalized sums $T_{n}=\sum_{i=1}^{n}X_{i}Y_{i}/\sum_{i=1}^{n}Y_{i}$, where ${Y_{i} : i\geq 1}$ are non-negative i.i.d. random variables, and ${X_{i} : i\geq 1} $ are i.i.d. random variables, independent of ${Y_{i} : i \geq 1}$.
Kevei, Peter, Mason, David
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A functional CLT for partial traces of random matrices [PDF]
In this paper we show a functional central limit theorem for the sum of the first $\lfloor t n \rfloor$ diagonal elements of $f(Z)$ as a function in $t$, for $Z$ a random real symmetric or complex Hermitian $n\times n$ matrix.
Nagel, Jan
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Predictors of Increased Risk of Hepatocellular Carcinoma in Patients with Type 2 Diabetes. [PDF]
Epidemiological data indicate that type 2 diabetes is associated with increased risk of hepatocellular carcinoma (HCC). However, risk stratification for HCC has not been fully elucidated in diabetic population.
Won Keun Si +14 more
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Measurement of Individual Time Preferences Using A Laboratory Approach [PDF]
The precise measurement of individual time preferences in assessing the economic plans that individuals are involved in, in the estimation of social time preferences, in the assessment of environmental and health plans is very crucial.
Mohammad Amin Zandi
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On the asymmetric zero-range in the rarefaction fan [PDF]
We consider the one-dimensional asymmetric zero-range process starting from a step decreasing profile. In the hydrodynamic limit this initial condition leads to the rarefaction fan of the associated hydrodynamic equation. Under this initial condition and
A. Benassi +18 more
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BackgroundThe relationship between plasma concentrations of betaine and choline metabolism and major cardiovascular disease (CVD) end points remains unclear.
Marta Guasch‐Ferré +19 more
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