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Robust Relative Error Estimation [PDF]
Entropy, 2018 Relative error estimation has been recently used in regression analysis. A crucial issue of the existing relative error estimation procedures is that they are sensitive to outliers. To address this issue, we employ the γ -likelihood function, which is constructed through γ -cross entropy with keeping the original statistical model in use. The
Kei Hirose, Hiroki Masuda
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Fractal and Fractional, 2023 In the current work, a fast θ scheme combined with the Legendre spectral method was developed for solving a fractional Klein–Gordon equation (FKGE). The numerical scheme was provided by the Legendre spectral method in the spatial direction, and for the ...
Yanan Li +3 more
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Analysis of the Element-Free Galerkin Method with Penalty for Stokes Problems
Entropy, 2022 The element-free Galerkin (EFG) method with penalty for Stokes problems is proposed and analyzed in this work. A priori error estimates of the penalty method, which is used to deal with Dirichlet boundary conditions, are derived to illustrate its ...
Tao Zhang, Xiaolin Li
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New View on Nonlinear Picture Fuzzy Integral Equations
Fractal and Fractional, 2023 In this article, we solve the second type of nonlinear Volterra picture fuzzy integral equation (NVPFIE) using an accelerated form of the Adomian decomposition method (ADM).
M. Shehata +3 more
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Mathematics, 2023 This study examined a Cauchy problem for a multi-dimensional Laplace equation with mixed boundary. This problem is severely ill-posed in the sense of Hadamard.
Xianli Lv, Xiufang Feng
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On King type modification of $(p,q)$-Lupaş Bernstein operators with improved estimates
Karpatsʹkì Matematičnì Publìkacìï, 2023 This paper aims to modify the $(p,q)$-Lupaş Bernstein operators using King's technique and to establish convergence results of these operators by using of modulus of continuity and Lipschitz class functions.
K.S. Nisar, V. Sharma, A. Khan
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The error estimate and the convergence rate for h, p - refinement in the finite element analysis
Vietnam Journal of Mechanics, 2008 The goal of this study is to further investigate and to develop a more efficient way in the error estimate and the rate of the convergence for the mesh h, p-refinement procedure in the finite element analysis for two-dimensional and three-dimensional ...
Nguyen Hoai Son
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Error estimate in the central limit theorem
Lietuvos Matematikos Rinkinys, 2008 In this paper, we determined, independent identically distributed random variable’s {Xk, k = 1,2,...} centered and normalized sum’s Sn = \sumn k=1 Xk distribution’s Fn(x) = P(Zn < x) exact error estimate in case of the normal approximation with one ...
Aurelija Kasparavičiūtė +1 more
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A MATHEMATICAL APPROACH TO ESTIMATE THE ERROR
Transactions of the VŠB: Technical University of Ostrava, Safety Engineering Series, 2016 Engineering based calculation procedures in fire safety science often consist of unknown or uncertain input data which are to be estimated by the engineer using appropriate and plausible assumptions.
Thomas MELCHER, Ulrich KRAUSE
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Muon capture on deuteron using local chiral potentials
Frontiers in Physics, 2023 The muon capture reaction μ− + d → n + n + νμ in the doublet hyperfine state is studied using nuclear potentials and consistent currents derived in the chiral effective field theory, which are local and expressed in coordinate space (the so-called ...
L. Ceccarelli +6 more
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