Sums of weakly dependent random variables

DOI10.1007/BF00972986zbMath0778.60014MaRDI QIDQ684542

S. A. Utev

Publication date: 21 September 1993

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

central limit theoreminfinitely divisible distributionweak dependencetriangular array with mixing

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Extreme value theory; extremal stochastic processes (60G70) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (1)

Some estimates of the normal approximation for \(\varphi \)-mixing random variables

Cites Work

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• Domains of attraction of mixing sequences
• Asymptotics of moments in the central limit theorem in Banach spaces
• A new look at Bergström's theorem on convergence in distribution for sums of dependent random variables
• Convergence of sums of mixing triangular arrays of random vectors with stationary rows
• Asymptotic normality of some kernel-type estimators of probability density
• Limit theorems for weakly independent random variables in certain Banach spaces
• Limit distributions of sums of m-dependent Bernoulli random variables
• Almost sure invariance principles for partial sums of mixing B-valued random variables
• The law of large numbers and the central limit theorem in Banach spaces
• Approximation theorems for independent and weakly dependent random vectors
• \(\alpha\)-stable limit theorems for sums of dependent random vectors
• Extreme Values in Uniformly Mixing Stationary Stochastic Processes
• Sums of independent Banach space valued random variables

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