On dense families of distributions of independent random elements sums in Banach spaces of the type \((F,F_ 1)\)

zbMath0786.60004MaRDI QIDQ1311176

Aleksey N. Chuprunov

Publication date: 13 February 1994

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

infinitely divisible distributionscentral limit theoremrandom elements in Banach spacesconvergence to a \(p\)-stable lawspaces of stable types

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Probability measures on topological spaces (60B05) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

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On the convergence in the law of sums and maxima of independent random variables with random parameters

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