On the limit theorems for random variables with values in the spaces L p (2?p<?)
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Publication:4124018
DOI10.1007/BF00533600zbMath0353.60011OpenAlexW2039242669MaRDI QIDQ4124018
Publication date: 1978
Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00533600
Central limit and other weak theorems (60F05) Convergence of probability measures (60B10) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)
Related Items (5)
Un critère sur les petites boules dans le théorème limite central. (A criterion on small balls in the central limit theorem) ⋮ A bounded law of the iterated logarithm for Hilbert space valued martingales and its application to U-statistics ⋮ Sur une inégalité de H. P. Rosenthal et le théorème limite central dans les espaces de Banach ⋮ Central limit theorems and weak laws of large numbers in certain banach spaces ⋮ On rates of convergence for sample average approximations in the almost sure sense and in mean
Cites Work
- A counterexample for Banach space valued random variables
- The law of large numbers and the central limit theorem in Banach spaces
- Étude des coefficients de Fourier des fonctions de \(L^ p(G)\)
- On Banach spaces containing $c_{0}$. A supplement to the paper by J.Hoffman-Jørgensen "Sums of independent Banach space valued random variables"
- A Characterisation of Hilbert Space Using the Central Limit Theorem
- A converse to the law of the iterated logarithm
- Convergence of Quadratic Forms in Independent Random Variables
- A Limit Theoerm for Random Variables with Infinite Moments
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