On the Marcinkiewicz-Zygmund strong laws for arbitrary dependent sequences

DOI10.1016/j.spl.2020.108895zbMath1453.60080OpenAlexW3047018383MaRDI QIDQ2216966

Zbigniew S. Szewczak

Publication date: 18 December 2020

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2020.108895

zbMATH Keywords

Marcinkiewicz-Zygmund strong lawsnon-stationarityHájek-Rényi inequality

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Strong limit theorems (60F15)

Related Items (2)

Mean convergence and weak laws of large numbers for multidimensional arrays of random elements ⋮ On convergence rates in the Marcinkiewicz-Zygmund strong law of large numbers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extensions of the Menchoff-Rademacher theorem with applications to ergodic theory
• Extensions of the strong law of large numbers of Marcinkiewicz and Zygmund for dependent variables
• Amazing and Aesthetic Aspects of Analysis
• On the Maximal Lévy–Ottaviani Inequality for Sums of Independent and Dependent Random Vectors
• Generalization of an inequality of Kolmogorov
• A characterization of a new type of strong law of large numbers
• Functional Gaussian Approximation for Dependent Structures
• A Strong Law of Large Numbers with Applications to Self-Similar Stable Processes

This page was built for publication: On the Marcinkiewicz-Zygmund strong laws for arbitrary dependent sequences