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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
Sakshi Pandey, Amit Banerjee
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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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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 on binomial approximation to the beta binomial cumulative distribution function [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2019 This paper uses Stein’s method and the characterization of beta binomial random variable to determine a non-uniform bound for the distance between the beta binomial cumulative distribution function with parameters n N, 0 and 0 and the ...
Kanint Teerapabolarn, Khunakorn Sae-Jeng
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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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A non-uniform bound on Poisson approximation for a sum of negative binomial random variables [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2017 This paper uses the Stein–Chen method to determine a non-uniform bound on the point metric between the distribution of a sum of independent negative binomial random variables and a Poisson distribution with mean 1 n i i i r q , where r i
Kanint Teerapabolarn
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Period function of planar turning points
Electronic Journal of Qualitative Theory of Differential Equations, 2021 This paper is devoted to the study of the period function of planar generic and non-generic turning points. In the generic case (resp. non-generic) a non-degenerate (resp.
Renato Huzak, David Rojas
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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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Feasibility on accurate measurement of non-uniform strain field through contact methods
Applications in Engineering Science, 2021 When straight material filaments do not remain straight after deformation, the strain varies spatially. These spatially varying strain fields arise because of (1) non-uniform distribution of boundary traction, (2) presence of residual stress in the ...
Pratyush Kumar, U. Saravanan
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