Almost sure behaviour of \(\mathbb{F}\)-valued random fields

DOI10.1007/BF01193058zbMath0767.60003OpenAlexW2056542564MaRDI QIDQ1203921

M. Bhaskara Rao, Xiang Chen Wang, De Li Li

Publication date: 10 March 1993

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

Full work available at URL: https://doi.org/10.1007/bf01193058

zbMATH Keywords

almost sure behaviourfields of independent real random variablessemi-normed measurable vector space

Mathematics Subject Classification ID

Random fields (60G60) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Cites Work

• Some applications of isoperimetric methods to strong limit theorems for sums of independent random variables
• Strong laws of large numbers for fields of Banach space valued random variables
• Characterization of the law of the iterated logarithm in Banach spaces
• Majorization, exponential inequalities and almost sure behavior of vector-valued random variables
• The law of the iterated logarithm for independent random variables with multidimensional indices
• Marcinkiewicz laws and convergence rates in the law of large numbers for random variables with multidimensional indices
• The law of the iterated logarithm for B-valued random variables with multidimensional indices
• Some Strassen-type laws of the iterated logarithm for multiparameter stochastic processes with independent increments
• Strong laws of large numbers for \(r\)-dimensional arrays of random variables
• On Necessary and Sufficient Conditions for the Strong Law of Large Numbers
• Sums of independent Banach space valued random variables
• Inequalities: theory of majorization and its applications

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