Results 11 to 20 of about 4,169,013 (222)
µ-Integrable Functions and Weak Convergence of Probability Measures in Complete Paranormed Spaces
MathematicsThis paper works with functions defined in metric spaces and takes values in complete paranormed vector spaces or in Banach spaces, and proves some necessary and sufficient conditions for weak convergence of probability measures.
Renying Zeng
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AIMS Mathematics, 2023 <abstract><p>In this paper, we study the complete convergence and the complete integration convergence for weighted sums of $ m $-extended negatively dependent ($ m $-END) random variables under sub-linear expectations space with the condition of $ \hat{\mathbb{E}}|X|^p\leqslant C_{\mathbb{V}}(|X|^p) < \infty $, $ p > 1/\alpha
He Dong, Xili Tan, Yong Zhang
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Approximate solution of second kind integral equations on infinite cylindrical surfaces [PDF]
, 1994 The paper considers second kind integral equations of the form (abbreviated)φφK+=g, in which S is an infinite cylindrical surface of arbitrary smooth cross-section.
Peplow, AT, Chandler-Wilde, SN
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A convergent data completion algorithm using surface integral equations [PDF]
Inverse Problems, 2015 We propose and analyze a data completion algorithm based on the representation of the solution in terms of surface integral operators to solve the Cauchy problem for the Helmholtz or the Laplace equations. The proposed method is non iterative and intrinsically handle the case of noisy and incompatible data.
Boukari, Yosra, Haddar, Houssem
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AIMS Mathematics, 2022 <abstract> <p>Since the concept of sub-linear expectation space was put forward, it has well supplemented the deficiency of the theoretical part of probability space. In this paper, we establish the complete convergence and complete integration convergence for weighted sums of widely acceptable (abbreviated as WA) random variables under ...
Chengcheng Jia, Qunying Wu
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Convergence of a collocation scheme for a retarded potential integral equation [PDF]
, 2003 Time domain boundary integral formulations of transient scattering problems involve retarded potential integral equations (RPIEs). Solving such equations numerically is both complicated and computationally intensive, and numerical methods often prove to ...
Duncan, D.B.
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Precise Asymptotics for Complete Integral Convergence under Sublinear Expectations [PDF]
Mathematical Problems in Engineering, 2020 The aim of this paper is to study and establish the precise asymptotics for complete integral convergence theorems under a sublinear expectation space. As applications, the precise asymptotics for p0≤p≤2 order complete integral convergence theorems have been generalized to the sublinear expectation space context.
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AIMS Mathematics, 2023 <abstract><p>The aim of this paper is to study and establish precise asymptotics for complete integral convergence in the law of the logarithm under the sub-linear expectation space. The methods and tools in this paper are different from those used to study precise asymptotics theorems in probability space. We extend precise asymptotics for
Lizhen Huang, Qunying Wu
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ON THE COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF DEPENDENT RANDOM VARIABLES UNDER CONDITION OF WEIGHTED INTEGRABILITY [PDF]
Journal of the Korean Mathematical Society, 2008 Summary: Under the condition of \(h\)-integrability and appropriate conditions on the array of weights, we establish complete convergence and strong law of large numbers for weighted sums of an array of dependent random variables.
Baek, Jong-Il, Ko, Mi-Hwa, Kim, Tae-Sung
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On asymptotic behaviour at infinity and the finite section for integral equations on the half-line [PDF]
, 1994 We consider integral equations on the half-line of the form and the finite section approximation to x obtained by replacing the infinite limit of integration by the finite limit β.
Chandler-Wilde, SN
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