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.