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The Stein-Dirichlet-Malliavin method
The Stein’s method is a popular method used to derive upper-bounds of distances between probability distributions. It can be viewed, in certain of its formulations, as an avatar of the semi-group or of the smart-path method used ...
Decreusefond L.
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Self-supervised MRI denoising: leveraging Stein’s unbiased risk estimator and spatially resolved noise maps [PDF]
Thermal noise caused by the imaged object is an intrinsic limitation in magnetic resonance imaging (MRI), resulting in an impaired clinical value of the acquisitions.
Laura Pfaff +8 more
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Approximations of normal distribution by its q-generalizations [PDF]
A concept of q-generalization of normal distribution arises in the context of statistical mechanics. In this article, we introduce a q-generalization of normal approximation.
Mongkhon Tuntapthai
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Stein's method of exchangeable pairs in multivariate functional approximations [PDF]
In this paper we develop a framework for multivariate functional approximation by a suitable Gaussian process via an exchangeable pairs coupling that satisfies a suitable approximate linear regression property, thereby building on work by Barbour (1990 ...
Döbler, Christian +1 more
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Some recent advances for limit theorems [PDF]
We present some recent developments for limit theorems in probability theory, illustrating the variety of this field of activity. The recent results we discuss range from Stein’s method, as well as for infinitely divisible distributions as applications ...
Arras Benjamin +4 more
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Approximation Results for Sums of Independent Random Variables
In this article, we consider Poisson and Poisson convoluted geometric approximation to the sums of n independent random variables under moment conditions. We use Stein’s method to derive the approximation results in total variation distance.
Pratima Eknath Kadu
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A non-uniform bound on binomial approximation to the beta binomial cumulative distribution function [PDF]
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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Interferometric SAR Phase Filtering With SURE-Based Non-Local Method
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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Malliavin–Stein method: a survey of some recent developments
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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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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