Strong laws of large numbers for fields of Banach space valued random variables

DOI10.1007/BF00569991zbMath0586.60007OpenAlexW2018434652MaRDI QIDQ1071364

Thomas Mikosch, Rimas Norvaiša

Publication date: 1987

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00569991

zbMATH Keywords

strong law of large numbersweighted sumsfields of Banach space valued random variablesMarcinkiewicz-Zygmund laws

Mathematics Subject Classification ID

Random fields (60G60) Strong limit theorems (60F15) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (9)

On the strong law of large numbers and \(\mathcal L_p\)-convergence for double arrays of random elements in \(p\)-uniformly smooth Banach spaces ⋮ On an analog of Feller's theorem for multiple sums ⋮ On the (p,q)$(p,q)$‐type strong law of large numbers for sequences of independent random variables ⋮ A weak law for normed weighted sums of random elements in Rademacher type \(p\) Banach spaces ⋮ A strong law of large numbers for ruled sums ⋮ Almost sure behaviour of \(\mathbb{F}\)-valued random fields ⋮ On the laws of large numbers for double arrays of independent random elements in Banach spaces ⋮ Nonlinear regression with multidimensional indices. ⋮ Some limit theorems for weighted sums of random variable fields

Cites Work

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• Strong laws for independent identically distributed random variables indexed by a sector
• Convergence rates for probabilities of moderate deviations for sums of random variables with multidimensional indices
• Inequalities for B-valued random vectors with applications to the strong law of large numbers
• Sums of independent random variables on partially ordered sets
• Marcinkiewicz laws and convergence rates in the law of large numbers for random variables with multidimensional indices
• Some stability results for vector valued random variables
• Strong laws of large numbers for \(r\)-dimensional arrays of random variables
• Exponential estimates for the maximum of partial sums. II (Random fields)
• Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach
• On Necessary and Sufficient Conditions for the Law of the Iterated Logarithm
• Convergence of weighted averages of independent random variables
• Law of large numbers for identically distributed Banach-valued random variables

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