A nonuniform estimate in the central limit theorem in some Banach spaces

DOI10.1007/BF00970605zbMath0434.60009OpenAlexW1975740896MaRDI QIDQ1139857

V. Bernotas, Vygantas Paulauskas

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1007/bf00970605

zbMATH Keywords

central limit theorem in Banach spaces

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (3)

Asymptotic analysis of probability measures in Banach spaces ⋮ Nonuniform estimate of rate of convergence to stable laws in certain Banach spaces ⋮ Uniform and nonuniform estimates in the CLT for Banach valued dependent random variables

Cites Work

• Berry-Esseen estimates in Hilbert space and an application to the law of the iterated logarithm
• A nonuniform estimate in the central limit theorem in Hilbert space
• The law of large numbers and the central limit theorem in Banach spaces
• Estimates of convergence rate in the central limit theorem in C(S)
• Bounds for the speed of convergence in the central limit theorem in C(S)
• Ideal Metrics in the Problem of Approximating Distributions of Sums of Independent Random Variables
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