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Decoupling

From Dependence to Independence

Language EnglishEnglish
Book Paperback
Book Decoupling Evarist Giné
Libristo code: 06794937
Publishers Springer-Verlag New York Inc., October 2012
A friendly and systematic introduction to the theory and applications. The book begins with the sums... Full description
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A friendly and systematic introduction to the theory and applications. The book begins with the sums of independent random variables and vectors, with maximal inequalities and sharp estimates on moments, which are later used to develop and interpret decoupling inequalities. Decoupling is first introduced as it applies to randomly stopped processes and unbiased estimation. The authors then proceed with the theory of decoupling in full generality, paying special attention to comparison and interplay between martingale and decoupling theory, and to applications. These include limit theorems, moment and exponential inequalities for martingales and more general dependence structures, biostatistical implications, and moment convergence in Anscombe's theorem and Wald's equation for U--statistics. Addressed to researchers in probability and statistics and to graduates, the expositon is at the level of a second graduate probability course, with a good portion of the material fit for use in a first year course.

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About the book

Full name Decoupling
Author Evarist Giné
Language English
Binding Book - Paperback
Date of issue 2012
Number of pages 392
EAN 9781461268086
ISBN 1461268087
Libristo code 06794937
Weight 629
Dimensions 155 x 235 x 23
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