Lecture Notes in Statistics - Proceedings

Probability Approximations and Beyond

Editors: Barbour, Andrew, Chan, Hock Peng, Siegmund, David (Eds.)

  • Features exciting theoretical developments and scientific applications based off of Chen’s research
  • Provides expert insight into a pioneering figure by leading statisticians and mathematicians
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About this book

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.  

Table of contents (10 chapters)

  • Couplings for Irregular Combinatorial Assemblies

    Barbour, Andrew (et al.)

    Pages 3-12

  • Berry-Esseen Inequality for Unbounded Exchangeable Pairs

    Chen, Yanchu (et al.)

    Pages 13-30

  • Clubbed Binomial Approximation for the Lightbulb Process

    Goldstein, Larry (et al.)

    Pages 31-41

  • Coverage of Random Discs Driven by a Poisson Point Process

    Lan, Guo-Lie (et al.)

    Pages 43-59

  • On the Optimality of Stein Factors

    Röllin, Adrian

    Pages 61-72

Buy this book

eBook $74.99
price for USA (gross)
  • ISBN 978-1-4614-1966-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA
  • ISBN 978-1-4614-1965-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Probability Approximations and Beyond
Editors
  • Andrew Barbour
  • Hock Peng Chan
  • David Siegmund
Series Title
Lecture Notes in Statistics - Proceedings
Series Volume
205
Copyright
2012
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4614-1966-2
DOI
10.1007/978-1-4614-1966-2
Softcover ISBN
978-1-4614-1965-5
Series ISSN
1869-7240
Edition Number
1
Number of Pages
XIV, 159
Number of Illustrations and Tables
18 b/w illustrations, 23 illustrations in colour
Topics