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Percolation Problems on N-Ary Trees
Mathematics, 2023 Percolation theory is a subject that has been flourishing in recent decades. Because of its simple expression and rich connotation, it is widely used in chemistry, ecology, physics, materials science, infectious diseases, and complex networks.
Tianxiang Ren, Jinwen Wu
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Stein’s method for concentration inequalities [PDF]
Probability Theory and Related Fields, 2006 15 pages.
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Solving ANOVA problem with restricted Type Ⅰ and Type Ⅱ error rates
AIMS MathematicsThe problem of solving the ordered one-way analysis of variance (ANOVA) (which consists of comparing a set of normal means) with restricted Type Ⅰ and Type Ⅱ error rates is considered in this paper.
Kartlos J. Kachiashvili +2 more
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Stein's Method and Non-Reversible Markov Chains
, 2004 Let W be either the number of descents or inversions of a permutation. Stein's method is applied to show that W satisfies a central limit theorem with error rate n^(-1/2).
Fulman, Jason
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Stein's method of exchangeable pairs for the Beta distribution and generalizations [PDF]
, 2015 We propose a new version of Stein's method of exchangeable pairs, which, given a suitable exchangeable pair $(W,W')$ of real-valued random variables, suggests the approximation of the law of $W$ by a suitable absolutely continuous distribution.
Döbler, Christian
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Scandinavian Journal of StatisticsAbstract Stein operators allow one to characterize probability distributions via differential operators. Based on these characterizations, we develop a new method of point estimation for marginal parameters of strictly stationary and ergodic processes, which we call Stein's Method of Moments
Ebner, B +4 more
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First-order covariance inequalities via Stein’s method [PDF]
Bernoulli, 2020 32 pages, 3 tables, 2 figures. This is an updated version of the first part of our previous arXiv submission on the same topic (arXiv:1812.10344) which we leave on the arXiv as a separate submission because it contains some material which may still be of ...
Ernst, Marie +2 more
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AIMS MathematicsThis research explored the number of returns to the origin within the framework of a symmetric simple random walk. Our primary objective was to approximate the distribution of return events to the origin by utilizing the half-normal distribution, which ...
Tatpon Siripraparat +1 more
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On Stein's method and perturbations [PDF]
, 2007 Stein’s (1972) method is a very general tool for assessing the quality of approximation of the distribution of a random element by another, often simpler, distribution.
Barbour, A D, Cekanavicius, V, Xia, A
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Bounds for the stop-loss distance of an independent random sum via Stein's method
AIMS MathematicsLet $ W = X_1+X_2+\cdots + X_N $ be a random sum and $ Z $ be the standard normal random variable. In this paper, we investigated uniform and non-uniform bounds of the stop-loss distance, which measures the difference between two random variables, $ W ...
Punyapat Kammoo +2 more
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