Decoupling
From Dependence to Independence
Evarist Giné author Victor de la Peña author
Format:Paperback
Publisher:Springer-Verlag New York Inc.
Published:2nd Oct '12
Currently unavailable, and unfortunately no date known when it will be back
Springer Book Archives
Randomly Stopped Processes U-Statistics and Processes Martingales and BeyondA 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.
From a review:
MATHEMATICAL REVIEWS
"The book is written in an excellent way. The exposition is clear and effective. The results are well motivated."
ISBN: 9781461268086
Dimensions: unknown
Weight: 629g
392 pages
Softcover reprint of the original 1st ed. 1999