Departure from independence: The strong law, standard and random-sum central limit theorems

DOI10.1007/BF02022494zbMath0221.60016OpenAlexW2053014601MaRDI QIDQ5625996

Roger Fischler, Miklós Csörgő

Publication date: 1970

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02022494

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15)

Related Items (6)

Unnamed Item ⋮ On the estimation of the asymptotic variance of the rank estimators for the location parameter from a sample of random size ⋮ Some properties of convergence in distribution of sums and maxima of dependent random variables ⋮ On mixing and the central limit theorem ⋮ Some examples and results in the theory of mixing and random-sum central limit theorems ⋮ Weak convergence of martingales with random indices to infinitely divisible laws

Cites Work

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• Propriétés asymptotiques des sommes de variables aléatoires independantes ou enchainees
• On the central limit theorem
• On the distribution of values of sums of the type \(\sum f(2^kt)\)
• On the asymptotic distribution of the sum of a random number of independent random variables
• On mixing sequences of sets
• Limiting distributions of random sums of independent random variables
• On the Strong Law of Large Numbers and the Central Limit Theorem for Martingales
• On the central limit theorem for the sum of a random number of independent random variables
• On the central limit theorem for the sum of a random number of independent random variables

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