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020 _a9781461419662
_9978-1-4614-1966-2
024 7 _a10.1007/978-1-4614-1966-2
_2doi
050 4 _aQA273.A1-274.9
050 4 _aQA274-274.9
072 7 _aPBT
_2bicssc
072 7 _aPBWL
_2bicssc
072 7 _aMAT029000
_2bisacsh
082 0 4 _a519.2
_223
100 1 _aBarbour, Andrew.
_eeditor.
245 1 0 _aProbability Approximations and Beyond
_h[electronic resource] /
_cedited by Andrew Barbour, Hock Peng Chan, David Siegmund.
264 1 _aNew York, NY :
_bSpringer New York,
_c2012.
300 _aXIV, 159p. 41 illus., 23 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Statistics,
_x0930-0325 ;
_v205
505 0 _aCouplings for Irregular Combinatorial Assemblies -- Berry-Esseen Inequality for Unbounded Exchangeable Pairs -- Clubbed Binomial Approximation for the Lightbulb Process -- Coverage of Random Discs Driven by a Posson Point Process -- On the Optimality of Stein Factors -- Basic Estimates of Stability Rate for One-dimensional Diffusions -- Trend Analysis of Extreme Values -- Renormalizations in White Noise Analysis -- M-dependence Approximation for Dependent Random Variables -- Variable Selection for Classification and Regression in Large p, Small n Problems.
520 _aIn 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.
650 0 _aMathematics.
650 0 _aDistribution (Probability theory).
650 0 _aMathematical statistics.
650 1 4 _aMathematics.
650 2 4 _aProbability Theory and Stochastic Processes.
650 2 4 _aStatistical Theory and Methods.
700 1 _aChan, Hock Peng.
_eeditor.
700 1 _aSiegmund, David.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461419655
830 0 _aLecture Notes in Statistics,
_x0930-0325 ;
_v205
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-1966-2
912 _aZDB-2-SMA
999 _c101170
_d101170