Results 151 to 160 of about 1,157,350 (185)
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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Non-uniform Berry-Esseen bound by unbounded exchangeable pairs approach [PDF]
Applied Mathematics, 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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Non-uniform bounds for geometric approximation
Statistics & Probability Letters, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Phillips, M. J., Weinberg, Graham V.
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Non-uniform hyperbolicity and universal bounds for S-unimodal maps
Inventiones Mathematicae, 1998An \(S\)-unimodal map \(f\) is said to satisfy the Collet-Eckmann condition if the lower Lyapunov exponent at the critical value is positive. If the infimum of the Lyapunov exponent over all periodic points is positive then \(f\) is said to have a uniform hyperbolic structure.
Nowicki, Tomasz, Sands, Duncan
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A non-uniform Berry–Esseen bound via Stein's method
Probability Theory and Related Fields, 2001This paper is part of our efforts to develop Stein's method beyond uniform bounds in normal approximation. Our main result is a proof for a non-uniform Berry–Esseen bound for independent and not necessarily identically distributed random variables without assuming the existence of third moments.
Louis H Y Chen, Qi-Man Shao
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ON THE ONSET OF CONVECTION IN PRESENCE OF A BOUNDED NON UNIFORM TEMPERATURE GRADIENT
Waves and Stability in Continuous Media, 2002Thermal convection in a layer which is not uniformly heated from below has been analized. Nonlinear stability of the conduction solution has been performed and global stability results have been obtained.
CAPONE, FLORINDA, RIONERO, SALVATORE
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Non uniform bound on a combinatorial central limit theorem
Communications in Statistics - Theory and Methods, 2015ABSTRACTIn this paper, we give a non uniform bound on combinatorial central limit theorem by using Stein’s method. This improves the result of Neammanee and Rattanawong (2009) from the finiteness of the sixth moment to the finiteness of the third moment.
W. Simcharoen, K. Neammanee
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A non-uniform bound on Poisson approximation in somatic cell hybrid model
Mathematical Biosciences, 2005The aim of this paper is a use of the Stein-Chen method to give a non-uniform bound for approximating the point probabilities of the number of pairs of chromosomes for which the Hamming distance is less than some fixed Hamming distance d by Poisson distribution.
K Teerapabolarn
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Non-uniform Bounds for Independent Random Variables
2011Continuing the consideration of the independent case, Chap. 8 presents non-uniform bounds for sums of independent random variables. In particular, by use of non-uniform concentration inequalities and the Bennett–Hoeffding inequality, bounds for the absolute difference between the distribution function F(z) of a sum of independent variables and the ...
Louis H. Y. Chen +2 more
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Uniform and Non-uniform Bounds Under Local Dependence
2011Chapter 9 considers local dependence using the K-function approach, and obtains both uniform and non-uniform Berry–Esseen bounds. The results are applied to certain scan statistics, and yield a general theorem when the local dependence can be expressed in terms of a dependency graph whose vertices are the underlying variables, and where two non ...
Louis H. Y. Chen +2 more
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