Translations of Mathematical Monographs 1996; 206 pp; softcover Volume: 148 ISBN10: 0821883313 ISBN13: 9780821883310 List Price: US$76 Member Price: US$60.80 Order Code: MMONO/148.S
 This book is devoted to a systematic analysis of asymptotic behavior of distributions of various typical functionals of Gaussian random variables and fields. The text begins with an extended introduction, which explains fundamental ideas and sketches the basic methods fully presented later in the book. Good approximate formulas and sharp estimates of the remainders are obtained for a large class of Gaussian and similar processes. The author devotes special attention to the development of asymptotic analysis methods, emphasizing the method of comparison, the doublesum method and the method of moments. The author has added an extended introduction and has significantly revised the text for this translation, particularly the material on the doublesum method. Readership Graduate students and research mathematicians working in probability, mathematical statistics, and random processes. Reviews "a ... valuable addition to the set of Englishlanguage monographs dealing with related topics."  Mathematical Reviews "[This] English edition is completed by a most welcome introduction. This book will be helpful to researchers and graduate students working in probability theory, mathematical statistics and random processes. It will provide them with the necessary tools for a thorough investigation of the asymptotic behavior of functionals of Gaussian processes and fields."  Metrika, International Journal for Theoretical and Applied Statistics Table of Contents  Introduction
 The method of comparison
 The double sum method
 The method of moments
 Limit theorems for the number of high excursions and for maxima of Gaussian processes and fields
 References
