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Title Probability approximations and beyond / Andrew Barbour, Hock Peng Chan, David Siegmund, editors
Published New York, NY : Springer, ©2012

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Description 1 online resource (xiv, 159 pages) : color illustrations
Series Lecture notes in statistics, 0930-0325 ; v. 205
Lecture notes in statistics (Springer-Verlag) ; v. 205.
Contents Stein's methods: Couplings for irregular combinatorial assemblies / Andrew D. Barbour and Anna Pósfai. Berry-Esseen inequality for unbounded exchangeable pairs / Yanchu Chen and Qi-Man Shao. Clubbed binomial approximation for the lightbulb process / LArry Goldstein and Aihua Xia. Coverage of random discs driven by a poisson point process / Guo-Lie Lan, Zhi-Ming Ma and Su-Yong Sun. On the optimality of Stein factors / Adrian Röllin -- Related topics: Basic estimates of stability rate for one-dimensional diffusions / Mu-Fa Chen. Trend analysis of extreme values / Goedele Dierckx and Jef Teugels. Renormalizations in white noise analysis / Takeyuki Hida. M-dependence approximation for dependent random variables / Zheng-Yan Lin and Weidong Liu. Variable selection for classification and regression in large p, small n problems / Wei-Lin Loh
Summary In June 2010, a conference, Probability Approximations and Beyond, was held at the National University of Singapore (NUS), in honor of pioneering mathematician Louis Chen. Louis is perhaps best known for his elegant Poisson approximation method, developed from Stein's original approach to normal approximation. Another of his important contributions has been to turn Stein's concentration inequality idea into an effective tool for providing error bounds for the normal approximation in many settings, and in particular for sums of random variables exhibiting only local dependence.¡ The conference attracted a large audience that came to pay homage to Louis, and to hear presentations by colleagues who have worked with him in special ways over the past 40 years. The papers in this volume attest to how Louis Chen's ideas have influenced and continue to influence such diverse areas as molecular biology and computer science. He himself has developed applications of his work on Poisson approximation to problems of signal detection in computational biology. The original papers contained in this book provide historical context for Louis's work, alongside commentary on some of his major contributions by noteworthy statisticians and mathematicians working today. The papers in this volume attest to how Louis Chen's ideas have influenced and continue to influence such diverse areas as molecular biology and computer science. He himself has developed applications of his work on Poisson approximation to problems of signal detection in computational biology. The original papers contained in this book provide historical context for Louis's work, alongside commentary on some of his major contributions by noteworthy statisticians and mathematicians working today
Analysis Mathematics
Distribution (Probability theory)
Mathematical statistics
Probability Theory and Stochastic Processes
Statistical Theory and Methods
Bibliography Includes bibliographical references
Subject Approximation theory.
Probabilities.
Stochastic processes.
Models, Statistical
Stochastic Processes
Probability
Probability Theory
probability.
MATHEMATICS -- General.
Probabilidades
Procesos estocásticos
Aproximación, Teoría de
Stochastic processes
Approximation theory
Probabilities
Form Electronic book
Author Barbour, Andrew
Chan, Hock Peng
Siegmund, David, 1941-
ISBN 9781461419662
1461419662