Probability approximations and beyond / Andrew D. Barbour, Hock Peng Chan, David Siegmund, (eds.).

Format
Book
Language
English
Published/​Created
New York ; London : Springer, ©2012.
Description
xiv, 159 pages : illustrations (some color) ; 24 cm

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Lewis Library - Stacks QA221 .P76 2012 Browse related items Request

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    Summary note
    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. Chen made the first of several seminal contributions to the theory and application of Stein's method. One of his most 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. This conference attracted a large audience that came to pay homage to Chen 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 cutting-edge ideas influenced and continue to influence such areas as molecular biology and computer science. He 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 Chen's work alongside commentary on some of his major contributions by noteworthy statisticians and mathematicians working today.-- Provided by publisher.
    Notes
    Selected papers from a conference, Probability Approximations and Beyond, held 25-26 June 2010 at the National University of Singapore (NUS) to honor Louis Chen on his 70th birthday.
    Bibliographic references
    Includes bibliographical references.
    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.
    ISBN
    • 9781461419655 ((pbk. ; : acid-free paper))
    • 1461419654 ((pbk. ; : acid free paper))
    LCCN
    2011941623
    OCLC
    766331167
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