Some new limit theorems for vector space- and group-valued random variables

DOI10.1007/BF02365059zbMath0942.60012OpenAlexW2013443649MaRDI QIDQ1291192

Wilfried Hazod

Publication date: 22 November 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02365059

zbMATH Keywords

random sumsmixing sequences(semi-)stable laws

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (2)

Random Sums of Independent Random Vectors Attracted by (Semi)-Stable Hemigroups ⋮ Generalized probabilities taking values in non-Archimedean fields and in topological groups

Cites Work

• Limit theorems for probability measures on simply connected nilpotent Lie groups
• Supplements to operator-stable and operator-semistable laws on Euclidean spaces
• The domains of partial attraction of probabilities on groups and on vector spaces
• Operator-Semistable Distributions on ${\bf R}^d$
• Operator semistable probability measures on $R^N$
• Semi-stable probability measures on $R^{N}$
• Operator-Stable Probability Distributions on Vector Groups
• The asymptotic distribution of the sum of a random number of random variables
• On the central limit theorem for the sum of a random number of independent random variables
• On the central limit theorem for the sum of a random number of independent random variables
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