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Rates in the Central Limit Theorem and diffusion approximation via Stein's Method

, 2017
Thomas Bonis
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Centered Poisson Approximation via Stein's Method

Lithuanian Mathematical Journal, 2001
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Čekanavičius, V., Vaitkus, P.
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Negative Binomial Approximation with Stein's Method

Methodology And Computing In Applied Probability, 1999
The basic ingredients for approximation by a negative binomial distribution using Stein's method and a birth and death characterizing equation are established. These include good bounds for the solution of the Stein equation and for its first differences, and a coupling representation of the accuracy of approximation. Lower bounds for the approximation
Brown, Timothy C., Phillips, M. J.
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The Stein Method

2016
Methodological aspects of the Stein method are exceptionally well discussed in the literature, and for more advanced applications the reader is advised to consult the books and papers referenced at the end of this chapter. Here we present just a basic idea of how the method works for the normal approximation and a short introduction to lattice random ...
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Stein's method and poisson process convergence

Journal of Applied Probability, 1988
Stein's method of obtaining rates of convergence, well known in normal and Poisson approximation, is considered here in the context of approximation by Poisson point processes, rather than their one-dimensional distributions. A general technique is sketched, whereby the basic ingredients necessary for the application of Stein's method may be derived ...
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STEIN'S METHOD AND THE BERRY‐ESSÉEN THEOREM

Australian Journal of Statistics, 1984
SummaryStein's method is used to prove the Lindeberg‐Feller theorem and a generalization of the Berry‐Esséen theorem. The arguments involve only manipulation of probability inequalities, and form an attractive alternative to the less direct Fourier‐analytic methods which are traditionally employed.
Barbour, A D, Hall, P
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Magnetic resonance linear accelerator technology and adaptive radiation therapy: An overview for clinicians

Ca-A Cancer Journal for Clinicians, 2022
William A Hal, X Allen Li, Daniel A Low
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Topological Methods in Stein Geometry

2011
In this chapter we introduce more advanced topological methods to the study of geometric problems on Stein manifolds and to Oka theory. We begin by considering complex points of smooth real surfaces in complex surfaces. After proving the Lai formulae and the Eliashberg-Harlamov cancellation theorem, we explore connections between the generalized ...
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