Results 21 to 30 of about 3,336,820 (288)
A Note on Second Order Conditions in Extreme Value Theory: Linking General and Heavy Tail Conditions
Second order conditions ruling the rate of convergence in any first order condition involving regular variation and assuring a unified extreme value limiting distribution function for the sequence of maximum values, linearly normalized, have appeared in
M. Isabel Fraga Alves +3 more
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In this paper we consider the rate of convergence of solutions of a scalar ordinary differential equation which is a perturbed version of an autonomous equation with a globally stable equilibrium.
John Appleby, Denis Patterson
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Sentiment analysis of consumer reviews – a comparison of organic and regular food products usage [PDF]
Purpose – This study aims to compare online review characteristics, review length and review sentiment score between “organic” and “regular” food products.
B. Rajeswari +3 more
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In this paper we consider the global and local stability and instability of solutions of a scalar nonlinear differential equation with non-negative solutions.
John Appleby, Jian Cheng
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A characterization of multivariate regular variation
We establish the equivalence between the multivariate regular variation of a random vector and the univariate regular variation of all linear combinations of the components of such a vector.
Basrak, Bojan +2 more
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A note on asymptotics and nonoscillation of linear $q$-difference equations
We study the linear second order $q$-difference equation $y(q^2t)+a(t)y(qt)+b(t)y(t)=0$ on the $q$-uniform lattice $\{q^k:k\in\mathbb{N}_0\}$ with $q>1$, where $b(t)\ne0$. We establish various conditions guaranteeing the existence of solutions satisfying
Pavel Řehák
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Fluid queues and regular variation [PDF]
Summary: This paper considers a fluid queueing system, fed by N independent sources that alternate between silence and activity periods. We assume that the distribution of the activity periods of one or more sources is a regularly varying function of index \(\zeta\) .
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Asymptotic behavior of positive solutions of a semilinear Dirichlet problem in the annulus [PDF]
In this paper, we establish existence and asymptotic behavior of a positive classical solution to the following semilinear boundary value problem: \[-\Delta u=q(x)u^{\sigma }\;\text{in}\;\Omega,\quad u_{|\partial\Omega}=0.\] Here \(\Omega\) is an annulus
Safa Dridi, Bilel Khamessi
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Second order corrections for the limits of normalized ruin times in the presence of heavy tails
In this paper we consider a compound Poisson risk model with regularly varying claim sizes. For this model in [4] an asymptotic formula for the finite time ruin probability is provided when the time is scaled by the mean excess function. In this paper
Dominik Kortschak, Søren Asmussen
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Regularized Mixed Variational‐Like Inequalities [PDF]
We use auxiliary principle technique coupled with iterative regularization method to suggest and analyze some new iterative methods for solving mixed variational‐like inequalities. The convergence analysis of these new iterative schemes is considered under some suitable conditions. Some special cases are also discussed.
Muhammad Aslam Noor +3 more
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