Andrew Stein's Books

Stein's Method And Applications

By: Louis Hsiao Yun Chen,Andrew Barbour

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Stein's Method And Applications

By: Louis Hsiao Yun Chen,Andrew Barbour

Stein's startling technique for deriving probability approximations first appeared about 30 years ago. Since then, much has been done to refine and develop the method, but it is still a highly active field of research, with many outstanding problems, both theoretical and in applications. This volume, the proceedings of a workshop held in honour of Charles Stein in Singapore, August 2003, contains contributions from many of the mathematicians at the forefront of this effort. It provides a cross-section of the work currently being undertaken, with many pointers to future directions. The papers in the collection include applications to the study of random binary search trees, Brownian motion on manifolds, Monte-Carlo integration, Edgeworth expansions, regenerative phenomena, the geometry of random point sets, and random matrices.

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Page Count

319

Publisher

World Scientific

Published Date

ISBN 10

9814480649

ISBN 13

9789814480642

An Introduction To Stein's Method

By: Andrew Barbour,Louis Hsiao Yun Chen

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An Introduction To Stein's Method

By: Andrew Barbour,Louis Hsiao Yun Chen

A common theme in probability theory is the approximation of complicated probability distributions by simpler ones, the central limit theorem being a classical example. Stein's method is a tool which makes this possible in a wide variety of situations. Traditional approaches, for example using Fourier analysis, become awkward to carry through in situations in which dependence plays an important part, whereas Stein's method can often still be applied to great effect. In addition, the method delivers estimates for the error in the approximation, and not just a proof of convergence. Nor is there in principle any restriction on the distribution to be approximated; it can equally well be normal, or Poisson, or that of the whole path of a random process, though the techniques have so far been worked out in much more detail for the classical approximation theorems.This volume of lecture notes provides a detailed introduction to the theory and application of Stein's method, in a form suitable for graduate students who want to acquaint themselves with the method. It includes chapters treating normal, Poisson and compound Poisson approximation, approximation by Poisson processes, and approximation by an arbitrary distribution, written by experts in the different fields. The lectures take the reader from the very basics of Stein's method to the limits of current knowledge.

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Page Count

239

Publisher

World Scientific

Published Date

ISBN 10

9814480657

ISBN 13

9789814480659

The Architecture of Paris

An Architectural Guide

By: Andrew Ayers

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The Architecture of Paris

An Architectural Guide

By: Andrew Ayers

The author here presents an architectural history of Paris, stretching from the 3rd century BC up until the end of the 20th century.

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Page Count

422

Publisher

Edition Axel Menges

Published Date

ISBN 10

393069896X

ISBN 13

9783930698967

Book's by Andrew Stein

Stein's Method And Applications

Stein's Method And Applications

An Introduction To Stein's Method

An Introduction To Stein's Method

The Architecture of Paris

The Architecture of Paris

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