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.
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