Louis H.Y. Chen's Books

An Introduction to Stein's Method

By: A. D. Barbour,Louis Hsiao Yun Chen

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An Introduction to Stein's Method

By: A. D. 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

240

Publisher

World Scientific

Published Date

ISBN 10

981256280X

ISBN 13

9789812562807

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

Challenges for the Twenty-first Century

By: Louis Hsiao Yun Chen

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Challenges for the Twenty-first Century

By: Louis Hsiao Yun Chen

The International Conference on Fundamental Sciences: Mathematics and Theoretical Physics provided a forum for reviewing some of the significant developments in mathematics and theoretical physics in the 20th century; for the leading theorists in these fields to expound and discuss their views on new ideas and trends in the basic sciences as the new millennium approached; for increasing public awareness of the importance of basic research in mathematics and theoretical physics; and for promoting a high level of interest in mathematics and theoretical physics among school students and teachers. This was a major conference, with invited lectures by some of the leading experts in various fields of mathematics and theoretical physics.

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Page Count

528

Publisher

World Scientific

Published Date

ISBN 10

9810246463

ISBN 13

9789810246464

Challenges for the 21st Century

8th International Seminar on Nuclear War - Mathematics and Theoretical Physics

By: Louis H. Y. Chen

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Challenges for the 21st Century

8th International Seminar on Nuclear War - Mathematics and Theoretical Physics

By: Louis H. Y. Chen

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532

Publisher

World Scientific

Published Date

ISBN 10

9812811265

ISBN 13

9789812811264

Campbell-Walsh Urology

By: Alan J. Wein,Louis R. Kavoussi,Andrew C. Novick,Alan W. Partin,Craig A. Peters

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Campbell-Walsh Urology

By: Alan J. Wein,Louis R. Kavoussi,Andrew C. Novick,Alan W. Partin,Craig A. Peters

Since 1954, Campbell-Walsh Urology has been internationally recognized as the pre-eminent text in its field. Edited by Alan J. Wein, MD, PhD(hon), Louis R. Kavoussi, MD, Alan W. Partin, MD, PhD, Craig A. Peters, MD, FACS, FAAP, and the late Andrew C. Novick, MD, it provides you with everything you need to know at every stage of your career, covering the entire breadth and depth of urology - from anatomy and physiology through the latest diagnostic approaches and medical and surgical treatments. Consult this title on your favorite e-reader with intuitive search tools and adjustable font sizes. Elsevier eBooks provide instant portable access to your entire library, no matter what device you're using or where you're located. Be certain with expert, dependable, accurate answers for every stage of your career from the most comprehensive, definitive text in the field! Required reading for all urology residents, Campbell-Walsh Urology is the predominant reference used by The American Board of Urology for its board examination questions. Visually grasp and better understand critical information with the aid of algorithms, photographs, radiographs, and line drawings to illustrate essential concepts, nuances of clinical presentation and technique, and decision making. Stay on the cutting edge with online updates. Get trusted perspectives and insights from hundreds of well-respected global contributors, all of whom are at the top and the cutting edge of their respective fields. Stay current with the latest knowledge and practices. Brand-new chapters and comprehensive updates throughout include new information on perioperative care in adults and children, premature ejaculation, retroperitoneal tumors, nocturia, and more! Meticulously revised chapters cover the most recent advancements in robotic and laparoscopic bladder surgery, open surgery of the kidney, management of metastic and invasive bladder cancer, and many other hot topics! Reference information quickly thanks to a new, streamlined print format and easily searchable online access to supplemental figures, tables, additional references, and expanded discussions as well as procedural videos and more at www.expertconsult.com.

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5689

Publisher

Elsevier Health Sciences

Published Date

ISBN 10

1455722987

ISBN 13

9781455722983

Normal Approximation by Stein’s Method

By: Louis H.Y. Chen,Larry Goldstein,Qi-Man Shao

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Normal Approximation by Stein’s Method

By: Louis H.Y. Chen,Larry Goldstein,Qi-Man Shao

Since its introduction in 1972, Stein’s method has offered a completely novel way of evaluating the quality of normal approximations. Through its characterizing equation approach, it is able to provide approximation error bounds in a wide variety of situations, even in the presence of complicated dependence. Use of the method thus opens the door to the analysis of random phenomena arising in areas including statistics, physics, and molecular biology. Though Stein's method for normal approximation is now mature, the literature has so far lacked a complete self contained treatment. This volume contains thorough coverage of the method’s fundamentals, includes a large number of recent developments in both theory and applications, and will help accelerate the appreciation, understanding, and use of Stein's method by providing the reader with the tools needed to apply it in new situations. It addresses researchers as well as graduate students in Probability, Statistics and Combinatorics.

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Page Count

411

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642150071

ISBN 13

9783642150074

Book's by Louis H.Y. Chen

An Introduction to Stein's Method

An Introduction to Stein's Method

Stein's Method And Applications

Stein's Method And Applications

Challenges for the Twenty-first Century

Challenges for the Twenty-first Century

Challenges for the 21st Century

Challenges for the 21st Century

Campbell-Walsh Urology

Campbell-Walsh Urology

Normal Approximation by Stein’s Method

Normal Approximation by Stein’s Method

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