Probability approximations and beyond : [on 25 and 26 June 2010, a conference, Probability Approximation and Beyond, was held ... Singapore to honor Louis Chen on his 70th birthday

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. 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 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 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. 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. Front Matter....Pages i-xiv Front Matter....Pages 1-1 Couplings for Irregular Combinatorial Assemblies....Pages 3-12 Berry-Esseen Inequality for Unbounded Exchangeable Pairs....Pages 13-30 Clubbed Binomial Approximation for the Lightbulb Process....Pages 31-41 Coverage of Random Discs Driven by a Poisson Point Process....Pages 43-59 On the Optimality of Stein Factors....Pages 61-72 Front Matter....Pages 73-73 Basic Estimates of Stability Rate for One-Dimensional Diffusions....Pages 75-99 Trend Analysis of Extreme Values....Pages 101-108 Renormalizations in White Noise Analysis....Pages 109-116 M-Dependence Approximation for Dependent Random Variables....Pages 117-133 Variable Selection for Classification and Regression in Large p , Small n Problems....Pages 135-159