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Non-uniform Berry–Esseen bounds via Malliavin–Stein method
Comptes Rendus. MathématiqueIn this paper, we establish non-uniform Berry–Esseen bounds by means of the Malliavin–Stein method. Applications to the multiple Wiener–Itô integrals and the exponential functionals of Brownian motion are given to illustrate the theory.
Tien Dung, Nguyen +2 more
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Improvements of Poisson approximation for n-dimensional unit cube random graph [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2021 This paper uses the Stein-Chen method to obtain uniform and non-uniform bounds in the Poisson approximation for the n-dimensional unit cube random graph. These bounds are re-established under the restriction of Poisson mean λ = 1.
Kanint Teerapabolarn
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Non-uniform Berry-Esseen bound by unbounded exchangeable pairs approach [PDF]
Applied Mathematics-A Journal of Chinese Universities, 2021 AbstractIn this paper, a new technique is introduced to obtain non-uniform Berry-Esseen bounds for normal and nonnormal approximations by unbounded exchangeable pairs. This technique does not rely on the concentration inequalities developed by Chen and Shao [4,5] and can be applied to the quadratic forms and the general Curie-Weiss model.
Liu, Da-li +3 more
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On the Sizes of (k, l)-Edge-Maximal r-Uniform Hypergraphs
Discussiones Mathematicae Graph Theory, 2023 Let H = (V, E) be a hypergraph, where V is a set of vertices and E is a set of non-empty subsets of V called edges. If all edges of H have the same cardinality r, then H is an r-uniform hypergraph; if E consists of all r-subsets of V, then H is a ...
Tian Yingzhi +3 more
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New bounds on Poisson approximation to the distribution of a sum of negative binomial random variables [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2018 The Stein-Chen method is usedto give new bounds, non-uniform bounds, for the distances between the distribution of a sum of independent negative binomial random variables and a Poisson distribution with mean, where ri and pi = 1-qi are parameters of ...
Kanint Teerapabolarn
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A non-uniform bound for translated Poisson approximation [PDF]
Electronic Journal of Probability, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barbour, A.D., Choi, K.P.
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Finite-state Strategies in Delay Games [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 What is a finite-state strategy in a delay game? We answer this surprisingly non-trivial question and present a very general framework for computing such strategies: they exist for all winning conditions that are recognized by automata with acceptance ...
Martin Zimmermann
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An Improvement on the Upper Bounds of the Partial Derivatives of NURBS Surfaces
Mathematics, 2020 The Non-Uniform Rational B-spline (NURBS) surface not only has the characteristics of the rational Bézier surface, but also has changeable knot vectors and weights, which can express the quadric surface accurately.
Ye Tian +4 more
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Celestial Spectrum Velocimetry With Non-Linear Fourier Phase Shift and Its CRLB
IEEE Access, 2022 To solve the problem of the non-linear Fourier phase shift caused by the wavelength shift in the celestial spectrum velocimetry, a celestial spectrum velocimetry method based on non-uniform discrete Fourier transform and compressed sensing is proposed ...
Zijun Zhang, Jin Liu, Xiaolin Ning
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JIGSAW-GEO (1.0): locally orthogonal staggered unstructured grid generation for general circulation modelling on the sphere [PDF]
Geoscientific Model Development, 2017 An algorithm for the generation of non-uniform, locally orthogonal staggered unstructured spheroidal grids is described. This technique is designed to generate very high-quality staggered Voronoi–Delaunay meshes appropriate for general circulation ...
D. Engwirda, D. Engwirda
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