Compactness of a sequence of sums of independent variables with values in a Hilbert space

DOI10.1007/BF00969853zbMath0501.60013MaRDI QIDQ1172313

G. Siegel

Publication date: 1982

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

zbMATH Keywords

concentration functionweak law of large numbers

Mathematics Subject Classification ID

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

Related Items (5)

Stochastic compactness of distributions of sums of independent random variables with finite variances ⋮ Relative weak compactness of sums of pair-wise independent random variables ⋮ Characteristic functions and compactness of distributions of sums of independent random variables ⋮ Relative weak compactness of sums of random variables ⋮ Criteria of Relative and Stochastic Compactness for Distributions of Sums of Independent Random Variables

Cites Work

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• Limit theorems under the assumption of restricted convergence on a set with a finite limit point
• A generalized theory of multiplicative stochastic processes using cumulant techniques
• Zero-one laws and weak convergences for sums of independent random variables
• Limit Theorems for the Distributions of the Sums of a Random Number of Random Variables

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