Approximation of distributions of sums of dependent random variables with values in a Banach space

DOI10.1007/BF00966463zbMath0539.60013MaRDI QIDQ794049

P. P. Gudinas

Publication date: 1983

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

zbMATH Keywords

dependent random elementsmetric distancesproblem of approximation

Mathematics Subject Classification ID

Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (7)

Approximation by distributions of sums of smoothly dependent random variables ⋮ Rate of convergence in the martingale central limit theorem in the space C(S) ⋮ The generalized Trotter operator and weak convergence of dependent random variables in different probability metrics ⋮ Estimate of rate of convergence in the CLT for dependent two-dimensional random vectors ⋮ Generalization of an approximation inequality ⋮ Estimating the convergence rate in the CLT for dependent random elements in a Hilbert space ⋮ Approximation by distributions of sums of conditionally independent random variables

Cites Work

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• Approximation of Distributions of Sums of Independent Random Variables with Values in Infinite-Dimensional Spaces
• Ideal Metrics in the Problem of Approximating Distributions of Sums of Independent Random Variables
• Distances of Probability Measures and Random Variables

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