A principle of subsequences in probability theory: The central limit theorem

DOI10.1016/0001-8708(74)90064-4zbMath0279.60012OpenAlexW2095109034WikidataQ104698889 ScholiaQ104698889MaRDI QIDQ1843120

Srishti D. Chatterji

Publication date: 1974

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(74)90064-4

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (14)

Infinite-dimensional extension of a theorem of Komlós ⋮ Concentration inequalities and limit theorems for randomized sums ⋮ On the Uniform Theory of Lacunary Series ⋮ A new proof of the Komlós-Révész-theorem ⋮ The Baum-Katz theorem for bounded subsequences ⋮ Moderate deviations for bounded subsequences ⋮ A note on convergence to mixtures of normal distributions ⋮ Unnamed Item ⋮ Characterization of weak limits of randomly indexed sequences ⋮ Convergence results for a normalized triangular array of symmetric random variables ⋮ Exchangeable random variables and the subsequence principle ⋮ On permutation-invariance of limit theorems ⋮ Limit theorems for subsequences of arbitrarily-dependent sequences of random variables ⋮ A subsequence principle in probability theory (applied to the law of the iterated logarithm)

Cites Work

• Unnamed Item
• Unnamed Item
• A general strong law
• Séminaire de probabilités VI. Université de Strasbourg. (Seminar of probabilities VI)
• Martingale Transforms
• An $L^p$-Convergence Theorem
• A generalization of a problem of Steinhaus
• On Lacunary Trigonometric Series
• A Central Limit Theorem for Uniformly Bounded Orthonormal Systems

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