Asymptotic analysis of probability measures in Banach spaces

DOI10.1007/BF00967185zbMath0479.60015MaRDI QIDQ1162044

Alfredas Račkauskas

Publication date: 1980

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

zbMATH Keywords

survey paperinfinitely divisible and stable measures on Banach spaces

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Development of contemporary mathematics (01A65) Convergence of probability measures (60B10) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Cites Work

• A nonuniform estimate in the central limit theorem in some Banach spaces
• Infinitely divisible and stable laws in separable Banach spaces. I
• Estimate of the rate of convergence in the central limit theorem in \(l_ p\) spaces
• 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
• Lois e(?) dans les espaces vectoriels et lois stables
• Remarks on stable measures on Banach spaces
• On the Rate of Convergence in the Central Limit Theorem in Certain Banach Spaces
• On Infinitely Divisible Laws in C[ 0, 1]
• A representation theorem for symmetric stable processes and stable measures on H
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