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.
General
| Imprint: |
Springer-Verlag New York
|
| Country of origin: |
United States |
| Series: |
Probability and Its Applications |
| Release date: |
October 2012 |
| First published: |
1999 |
| Authors: |
Victor de la Pena
• Evarist Gin e
|
| Dimensions: |
235 x 155 x 21mm (L x W x T) |
| Format: |
Paperback
|
| Pages: |
392 |
| Edition: |
Softcover reprint of the original 1st ed. 1999 |
| ISBN-13: |
978-1-4612-6808-6 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Probability & statistics
|
| LSN: |
1-4612-6808-7 |
| Barcode: |
9781461268086 |
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