Results 61 to 70 of about 6,796 (225)
Stein's Method and Multinomial Approximation
The Annals of Applied Probability, 1992 Stein's method [see \textit{C. Stein}, Proc. 6th Berkeley Sympos. Math. Statist. Probab., Univ. Calif. 1970, 2, 583-602 (1972; Zbl 0278.60026)] is developed in the setting of approximation by a multinomial distribution \(MN(N;p_ 1,\dots,p_ M)\) for an arbitrary choice of \(M\) and \(p_ 1,\dots,p_ M\).
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Minimal spanning trees and Stein’s method [PDF]
The Annals of Applied Probability, 2017 Kesten and Lee [36] proved that the total length of a minimal spanning tree on certain random point configurations in $\mathbb{R}^d$ satisfies a central limit theorem. They also raised the question: how to make these results quantitative? However, techniques employed to tackle the same problem for other functionals studied in geometric probability do ...
Chatterjee, Sourav, Sen, Sanchayan
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Stein’s method for conditional central limit theorem
The Annals of Probability, 2023 50 pages. Assumption II was changed, the multivariate result was improved, overall presentation was revised, final version.
Dey, Partha S., Terlov, Grigory
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AMP algorithms and Stein's method: Understanding TAP equations with a new method [PDF]
, 2023 Stephan Gufler +2 more
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Stein's Method and Characters of Compact Lie Groups
, 2008 Stein's method is used to study the trace of a random element from a compact Lie group or symmetric space. Central limit theorems are proved using very little information: character values on a single element and the decomposition of the square of the ...
A. Klyachko +18 more
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An improved bound for negative binomial approximation with -functions
AKCE International Journal of Graphs and Combinatorics, 2017 In this article, we use Stein’s method together with -functions to give an improved bound for the total variation distance between the distribution of a non-negative integer-valued random variable and the negative binomial distribution with parameters ...
K. Teerapabolarn
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The law of the iterated logarithm for LNQD sequences
Journal of Inequalities and Applications, 2018 Let { ξ i , i ∈ Z } $\{\xi_{i},i\in{\mathbb{Z}}\}$ be a stationary LNQD sequence of random variables with zero means and finite variance. In this paper, by the Kolmogorov type maximal inequality and Stein’s method, we establish the result of the law of ...
Yong Zhang
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Stein's method, Palm theory and Poisson process approximation
, 2004 The framework of Stein's method for Poisson process approximation is presented from the point of view of Palm theory, which is used to construct Stein identities and define local dependence.
Chen, Louis H. Y., Xia, Aihua
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Orthogonal Polynomials in Stein's Method
Journal of Mathematical Analysis and Applications, 2001 The paper systematically develops a relationship between the classical families of orthogonal polynomials and Stein's method as applied to the distributions in the Pearson and Ord families, that was also discussed by \textit{P. Diaconis} and \textit{S. Zabell} [Stat. Sci. 6, No. 3, 284-302 (1991)].
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IEEE Access, 2019 This paper proposes a heuristic multi-parameter optimization method for image and video reconstruction. The method is embedded in an evolutionary computation framework in which a set of parameters are encoded into chromosomes of an individual, and a ...
Zhi Dou, Lin Sun, Weiping Ding
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