Exponential inequalities for two-parameter martingales
✍ Scribed by Sı́lvia Moret; David Nualart
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 95 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper, we establish an exponential estimate for the tail probability of the supremum of a two-parameter continuous martingale vanishing on the axes, assuming that the quadratic variation is bounded.
📜 SIMILAR VOLUMES
Sufficient conditions are given to get weighted inequalities between two maximal operators on Banach valued regular martingales. As an application we obtain generalizations with weights of the inequalities in the definitions of UMD- and MT-Banach spaces and weighted estimates for the vector valued s
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