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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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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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A non-uniform bound for translated Poisson approximation [PDF]
Electronic Journal of Probability, 2004 Let $X_1, ldots , X_n$ be independent, integer valued random variables, with $p^{text{th}}$ moments, $p >2$, and let $W$ denote their sum. We prove bounds analogous to the classical non-uniform estimates of the error in the central limit theorem, but now, for approximation of $law(W)$ by a translated Poisson distribution.
Barbour, A.D., Choi, K.P.
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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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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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Optimal Non-Uniform Sampling by Branch-and-Bound Approach for Speech Coding [PDF]
IEEE Access, 2022 Speech coding plays a significant role in voice communication and improving network bandwidth efficiency for applications that require long-distance communication or storage space utilization. Non-uniform sampling (NUS) is a technique for the same, which performs data reduction by sampling at irregular intervals.
Sakshi Pandey, Amit Banerjee
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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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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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Sharp indistinguishability bounds from non-uniform approximations
CoRR, 2021 We study the problem of distinguishing between two symmetric probability distributions over $n$ bits by observing $k$ bits of a sample, subject to the constraint that all $k-1$-wise marginal distributions of the two distributions are identical to each other. Previous works of Bogdanov et al.
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