Limit theorems for random sums of random summands

DOI10.1007/978-3-031-26979-0_8arXiv2010.00483OpenAlexW3089766404MaRDI QIDQ6150876

David Grzybowski

Publication date: 7 March 2024

Published in: Progress in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.00483

zbMATH Keywords

Hoeffding's combinatorial central limit theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)

Cites Work

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• A dozen de Finetti-style results in search of a theory
• An \(L_p\) bound for the remainder in a combinatorial central limit theorem
• Concentration of the spectral measure for large matrices
• Quenched central limit theorem in a corner growth setting
• Remarks on deviation inequalities for functions of infinitely divisible random vectors
• On the concentration of measure phenomenon for stable and related random vectors.
• Concentration of measure and isoperimetric inequalities in product spaces
• On the error bound in a combinatorial central limit theorem
• Median, concentration and fluctuations for Lévy processes
• Some results on random circulant matrices
• Concentration for noncommutative polynomials in random matrices
• A Combinatorial Central Limit Theorem

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