Maximal inequalities for multidimensionally indexed submartingale arrays

DOI10.1214/aop/1176990849zbMath0726.60042OpenAlexW1989187542MaRDI QIDQ804084

Robert J. Serfling, Tasos C. Christofides

Publication date: 1990

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176990849

zbMATH Keywords

strong law of large numbersmaximal inequalitiesHájek- Rényi-type inequalitymulti-parameter discrete submartingales

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Strong limit theorems (60F15)

Related Items (13)

Rate of convergence in the strong law of large numbers for a class of U-statistics and von Mises statistics ⋮ On unconditional convergence of orthogonal fields ⋮ The Brunk-Prokhorov strong law of large numbers for fields of martingale differences taking values in a Banach space ⋮ Maximal inequalities and convergence results on multidimensionally indexed demimartingales ⋮ Doob's estimate for coherent random variables and maximal operators on trees ⋮ The LIL convergence for stationary linear random field ⋮ Maximal inequalities and convergence results for generalized U- statistics ⋮ . strong law of large numbers for \(U\)-statistics ⋮ Multiple change-point estimation with U-statistics ⋮ A Hájek-Rényi-type maximal inequality and strong laws of large numbers for multidimensional arrays ⋮ Weighted strong law of large numbers for random variables indexed by a sector ⋮ Strong laws of large numbers for \(\mathbb B\)-valued random fields ⋮ \(U\)-statistics on a lattice of i. i. d. random variables

This page was built for publication: Maximal inequalities for multidimensionally indexed submartingale arrays