Asymptotic Methods in Probability and Statistics with Applications

This book represents thirty-eight extensive and carefully edited §chapters written by prominent researchers, providing an up-to-date §survey of new asymptotic methods in science and technology. The §chapters contain broad coverage of the latest developments and §innovative techniques in a wide range of theoretical and numerical §issues in the field of asymptotic methods in probability and §mathematical statistics. §The book is organized into ten thematic parts: probability §distributions; characterizations of distributions; probabilities and §measures in high dimensional structures; weak and stron limit §theorems; large deviation probabilities; empirical processes; order §statistics and records; estimation of parameters and hypotheses §testing; random walks, and applications to finance. Written in an §accessible style, this book conveys a clear and practical perspective §of asymptotic methods. §Topics and features:Recent developments in asymptotic methods; §Parametric and Nonparametric Inference; Distribution Theory; §Stochastic Processes; Order Statistics; Record values and §Characterizations. §Asymptotic methods in Probability and Mathematical Statistics is an §essential resource for reseachers, practitioners, and professionals §involved in Theoretical and Applied Probability and/or in Theoretical §and Applied Statistics. Various chapters of the volume will also §appeal to industrial statisticians and financial economists.