Approximation of distributions of sums of Banach-valued random elements with infinitely divisible laws. I.

DOI10.1007/BF01049459zbMath0627.60010OpenAlexW4205773596WikidataQ114852724 ScholiaQ114852724MaRDI QIDQ1092496

G. Bakshtis, Vygantas Paulauskas

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf01049459

zbMATH Keywords

weak approximationProkhorov metricinfinite divisible lawsfinite q-cotyperandom vectors in a Banach space

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Convergence of probability measures (60B10)

Related Items (3)

Compound Poisson approximation ⋮ Compound Poisson approximations for symmetric vectors ⋮ Asymptotic constancy of the norm of sums of random vectors

Cites Work

• Two Uniform Limit Theorems for Sums of Independent Random Variables
• On the Convergence Rate in Kolmogorov’s Uniform Limit Theorem. II
• On a Multidimensional Version of the Kolmogorov Uniform Limit Theorem
• Convergence of Baire measures
• Distances of Probability Measures and Random Variables
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