Asymptotic methods in the theory of Gaussian processes and fields
Author(s)
Bibliographic Information
Asymptotic methods in the theory of Gaussian processes and fields
（Translations of mathematical monographs, v. 148）
American Mathematical Society, c1996
- Other Title
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Asimptoticheskie metody v teorii gaussovskikh sluchaĭnykh prot︠s︡essov i poleĭ
Асимптотические методы в теории Гауссовских случайных процессов и полей
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Note
Includes bibliographical references (p. 203-206)
Description and Table of Contents
Description
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 double-sum 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 double-sum method.
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.
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