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Fundamentals of Stein’s method
Probability Surveys, 2011 This survey article discusses the main concepts and techniques of Stein's method for distributional approximation by the normal, Poisson, exponential, and geometric distributions, and also its relation to concentration inequalities. The material is presented at a level accessible to beginning graduate students studying probability with the main ...
Louis H. Y. Chen +2 more
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Interferometric SAR Phase Filtering With SURE-Based Non-Local Method
IEEE Access, 2020 As the phase of the interferometric synthetic aperture radar (InSAR) contains abundant information for many earth observation activities, the interferometric phase denoising is an important step before InSAR processing and application because of its ...
Rui Guo +3 more
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Stein’s method on Wiener chaos [PDF]
Probability Theory and Related Fields, 2008 39 pages; Two sections added; To appear in ...
Nourdin, I., Peccati, G.
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Iperstoria, 2016 The article takes into account the way in which Gertrude Stein’s literary works have been interpreted by critics over the years. Following the writer’s own cue, scholars – starting with Stein’s long-time friend and admirer, Mable Dodge – have been ...
Enrico Frigeni
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Malliavin–Stein method: a survey of some recent developments
Modern Stochastics: Theory and Applications, 2021 Initiated around the year 2007, the Malliavin–Stein approach to probabilistic approximations combines Stein’s method with infinite-dimensional integration by parts formulae based on the use of Malliavin-type operators. In the last decade, Malliavin–Stein
Ehsan Azmoodeh +2 more
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Stein’s Method for Rough Paths [PDF]
Potential Analysis, 2019 The original Donsker theorem says that a standard random walk converges in distribution to a Brownian motion in the space of continuous functions. It has recently been extended to enriched random walks and enriched Brownian motion. We use the Stein-Dirichlet method to precise the rate of this convergence in the topology of fractional Sobolev spaces.
Coutin, Laure, Decreusefond, Laurent
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Stein's Method for the Single Server Queue in Heavy Traffic [PDF]
, 2019 Following recent developments in the application of Stein's method in queueing theory, this paper is intended to be a short treatment showing how Stein's method can be developed and applied to the single server queue in heavy traffic. Here we provide two
Gaunt, Robert E., Walton, Neil
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Distances Between Distributions Via Stein’s Method [PDF]
Journal of Theoretical Probability, 2021 We build on the formalism developed in [arXiv:1906.08372v1] to propose new representations of solutions to Stein equations. We provide new uniform and non uniform bounds on these solutions (a.k.a.\ Stein factors). We use these representations to obtain representations for differences between expectations in terms of solutions to the Stein equations. We
Ernst, Marie, Swan, Yvik
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Stein's method for Brownian approximations [PDF]
, 2013 Motivated by a theorem of Barbour, we revisit some of the classical limit theorems in probability from the viewpoint of the Stein method. We setup the framework to bound Wasserstein distances between some distributions on infinite dimensional spaces.
Coutin, Laure, Decreusefond, Laurent
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Stein's Method and Stochastic Orderings [PDF]
Advances in Applied Probability, 2012 A stochastic ordering approach is applied with Stein's method for approximation by the equilibrium distribution of a birth-death process. The usual stochastic order and the more generals-convex orders are discussed. Attention is focused on Poisson and translated Poisson approximations of a sum of dependent Bernoulli random variables, for example,k-runs
Daly, FA, Lefèvre, C, Utev, S
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