| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1152239 | Statistics & Probability Letters | 2012 | 5 Pages |
Abstract
Suppose that ff is a martingale taking values in a Banach space BB and gg is its transform by a deterministic sequence of numbers in {−1,1}{−1,1}, such that supn‖gn‖≥1supn‖gn‖≥1 almost surely. We show that a certain family of ΦΦ-estimates for ff holds true if and only BB is a Hilbert space.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Adam Osȩkowski,