Deviation inequality for Banach-valued orthomartingales

被引：0

作者：

Giraudo, Davide ^{[1
]}

机构：

[1] Institut de Recherche Mathématique Avancée UMR 7501, Université de Strasbourg and CNRS, 7 rue René Descartes, Strasbourg,67000, France

来源：

Stochastic Processes and their Applications | 2024年 / 175卷

关键词：

D O I：

10.1016/j.spa.2024.104391

中图分类号：

学科分类号：

摘要：

We show a deviation inequality inequalities for multi-indexed martingale We then provide applications to kernel regression for random fields and rates in the law of large numbers for orthomartingale difference random fields. © 2024 The Author(s)

引用

共 50 条

[1] Integration of Banach-valued functions and Haar series with Banach-valued coefficients
Skvortsov V.A.
[J]. Moscow University Mathematics Bulletin, 2017, 72 (1) : 24 - 30
[2] ON FOURIER MULTIPLIERS AND INEQUALITY MIXED DERIVATIVES OF BANACH-VALUED FUNCTIONS
GULIEV, VS
[J]. DOKLADY AKADEMII NAUK, 1995, 341 (01) : 7 - 9
[3] BANACH-VALUED AUTOREGRESSIVE PROCESSES
MOURID, T
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1993, 317 (12): : 1167 - 1172
[4] ON BANACH-VALUED COMPLEX ANALYSIS
Najafov, Tofiq I.
[J]. PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2010, 32 (40): : 157 - 164
[5] Banach-valued probability measures
Gaur, AK
[J]. APPLIED MATHEMATICS LETTERS, 2002, 15 (07) : 913 - 916
[6] Banach-valued axiomatic spectra
Dineen, Sean
Harte, Robin E.
[J]. STUDIA MATHEMATICA, 2006, 175 (03) : 213 - 232
[7] DECOUPLING OF BANACH-VALUED MULTILINEAR FORMS IN INDEPENDENT SYMMETRICAL BANACH-VALUED RANDOM-VARIABLES
MCCONNELL, TR
TAQQU, MS
[J]. PROBABILITY THEORY AND RELATED FIELDS, 1987, 75 (04) : 499 - 507
[8] ON REGULARITY OF BANACH-VALUED PROCESSES
FRANGOS, NE
[J]. ANNALS OF PROBABILITY, 1985, 13 (03): : 985 - 990
[9] DERIVATIVE AND INTEGRAL OF BANACH-VALUED FUNCTIONS
ANVARI, M
[J]. DUKE MATHEMATICAL JOURNAL, 1965, 32 (04) : 593 - &
[10] Rosenthal sets for Banach-valued functions
Watbled, F
[J]. ARCHIV DER MATHEMATIK, 1996, 66 (06) : 479 - 489

← 1 2 3 4 5 →