Titlebook: On Stein‘s Method for Infinitely Divisible Laws with Finite First Moment; Benjamin Arras,Christian Houdré Book 2019 The Author(s), under e

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On Stein‘s Method for Infinitely Divisible Laws with Finite First Moment978-3-030-15017-4Series ISSN 2365-4333 Series E-ISSN 2365-4341

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Preliminaries,Nowadays, Stein’s method is a powerful tool to quantify limit theorems appearing in probability theory and, since its introduction in a Gaussian setting, it has been extended to many probability distributions beginning with the Poisson one.

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Introduction,. Starting with Chen’s [30] initial extension to the Poisson case, the method has been developed for various distributions such as compound Poisson, geometric, negative binomial, exponential, or Laplace, to name but a few.

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Characterization and Coupling,ons and we have to agree on what is meant by “Lipschitz”. Below, the functions we consider need not be defined on the whole of . but just on a subset of . containing ., the range of ., and ., where . is the support of ..

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Benjamin Arras,Christian Houdréc a ubiquitous memory aid. By changing the quality, respectively the uncertainty of context recognition, the experiments show that human performance in a memory task is increased by explicitly displaying uncertainty information. Finally, we discuss implications of these experiments for today’s conte

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