Laws of large numbers for weighted sums of independent random variables: a game of mass

DOI10.1007/s10959-023-01296-zarXiv2004.00469OpenAlexW3014367349MaRDI QIDQ6204778

Conrado da Costa, Luca Avena

Publication date: 2 April 2024

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.00469

zbMATH Keywords

law of large numbersToeplitz matricesweighted sums of independent random variables

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Cites Work

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• Voronoi means, moving averages, and power series
• Random walk in cooling random environment: Recurrence versus transience and mixed fluctuations
• Random walk in cooling random environment: ergodic limits and concentration inequalities
• Limit Theorems for Multi-Indexed Sums of Random Variables
• Random Walks in Cooling Random Environments
• Probability
• Statistical Mechanics of Lattice Systems
• Convergence of weighted averages of independent random variables
• Some Results on the Complete and Almost Sure Convergence of Linear Combinations of Independent Random Variables and Martingale Differences

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