Almost sure behaviour of \(\mathbb{F}\)-valued random fields
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Publication:1203921
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
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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