Convergence and Limit Theorems for Sequences of Random Variables
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Publication:5180629
DOI10.1137/1117049zbMath0273.60010OpenAlexW2155351281MaRDI QIDQ5180629
Publication date: 1972
Published in: Theory of Probability & Its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/1117049
Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Limit theorems in probability theory (60Fxx)
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A unified approach to several results involving integrals of multifunctions ⋮ Concentration inequalities and limit theorems for randomized sums ⋮ A strong law of large numbers for positive random variables ⋮ A new proof of the Komlós-Révész-theorem ⋮ The law of the iterated logarithm for subsequences of random variables ⋮ Rademacher functions in symmetric spaces ⋮ On uniformly bounded sequences in Orlicz spaces ⋮ Extracting almost symmetric sequences in rearrangement invariant spaces ⋮ Applications of the method of compactness and decomposition: minimization, convergence of martingales, multivalued Fatou lemma ⋮ On permutation-invariance of limit theorems ⋮ Limit theorems for subsequences of arbitrarily-dependent sequences of random variables
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