A generalization of Strassen's functional law of iterated logarithm
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Publication:4187073
DOI10.1007/BF00534149zbMath0402.60030OpenAlexW2357079030MaRDI QIDQ4187073
Publication date: 1979
Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00534149
Related Items (20)
Strassen-type functional laws for strong topologies ⋮ Local functional limit theorems of increments for Brownian motion ⋮ Limit laws for the modulus of continuity of the partial sum process and for the Shepp statistic ⋮ Moderate deviations and functional limits for random processes with stationary and independent increments ⋮ Module d'oscillation fonctionnel de quelques processus réels. (Functional oscillation modulus of some real random processes) ⋮ Functional Chung laws for small increments of the empirical process and a lowerbound in the strong invariance principle ⋮ On the coverage of Strassen-type sets by sequences of Wiener processes ⋮ Functional laws of the iterated logarithm for large increments of empirical and quantile processes ⋮ Functional limit theorems for C-R increments of \(k\)-dimensional Brownian motion in Hölder norm ⋮ The rate of convergence in the functional limit theorem for increments of a Brownian motion ⋮ A Hanson-Russo-type law of the iterated logarithm for fractional Brownian motion ⋮ Inner rates of coverage of Strassen type sets by increments of the uniform empirical and quantile processes ⋮ A generalization of functional law of the iterated logarithm for \((r,p)\)-capacities on the Wiener space. ⋮ On the properties for increments of a local time -- a look through the set of limit points ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:3339856 On the functional form of L�vy's modulus of continuity for Brownian motion] ⋮ Functional limit theorems for the increments of Gaussian samples ⋮ Functional limit theorems for the increments of \(d\)-dimensional Gaussian processes in a Hölder type norm ⋮ Exact rates of convergence of functional limit theorems for Csörgő-Révész increments of a Wiener process. ⋮ Simultaneous bootstrap confidence bands in nonparametric regression ⋮ Functional limit theorems for \(C\)-\(R\) increments of \(l^p\)-valued Wiener processes in the Hölder norm
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