Probability Approximations and Beyond

  • Andrew Barbour
  • Hock Peng Chan
  • David Siegmund
Conference proceedings

DOI: 10.1007/978-1-4614-1966-2

Part of the Lecture Notes in Statistics book series (LNS, volume 205)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Stein’s Method

    1. Front Matter
      Pages 1-1
    2. Andrew Barbour, Anna Pósfai
      Pages 3-12
    3. Yanchu Chen, Qi-Man Shao
      Pages 13-30
    4. Larry Goldstein, Aihua Xia
      Pages 31-41
    5. Guo-Lie Lan, Zhi-Ming Ma, Su-Yong Sun
      Pages 43-59
    6. Adrian Röllin
      Pages 61-72
  3. Related Topics

    1. Front Matter
      Pages 73-73
    2. Goedele Dierckx, Jef Teugels
      Pages 101-108
    3. Takeyuki Hida
      Pages 109-116
    4. Zheng-Yan Lin, Weidong Liu
      Pages 117-133

About these proceedings

Introduction

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.

Keywords

Louis Chen Poincare inequalities Poisson approximation Stein–Chen method

Editors and affiliations

  • Andrew Barbour
    • 1
  • Hock Peng Chan
    • 2
  • David Siegmund
    • 3
  1. 1.Institut für MathematikUniversität ZürichZürichSwitzerland
  2. 2., Department of Statistics and Applied ProNational University of SingaporeSingaporeSingapore
  3. 3.Dept. StatisticsStanford UniversityStanfordUSA

Bibliographic information

  • Copyright Information Springer Science+Business Media, LLC 2012
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4614-1965-5
  • Online ISBN 978-1-4614-1966-2
  • Series Print ISSN 0930-0325
  • Series Online ISSN 2197-7186