Invariance principles for the law of the iterated logarithm under \(G\)-framework
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Publication:889816
DOI10.1007/s11425-015-5002-8zbMath1327.60087arXiv1105.0135OpenAlexW1967060049MaRDI QIDQ889816
Publication date: 9 November 2015
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1105.0135
Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Brownian motion (60J65) Functional limit theorems; invariance principles (60F17)
Related Items (6)
Stochastic differential equations for random matrices processes in the nonlinear framework ⋮ An invariance principle of strong law of large numbers under nonadditive probabilities ⋮ Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables under sub-linear expectation ⋮ Optimal unbiased estimation for maximal distribution ⋮ Central limit theorem for linear processes generated by IID random variables under the sub-linear expectation ⋮ Exponential inequalities under sub-linear expectations with applications to strong law of large numbers
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- Multi-dimensional \(G\)-Brownian motion and related stochastic calculus under \(G\)-expectation
- Invariance principles for dependent variables
- An invariance principle for the law of the iterated logarithm
- On the Law of the Iterated Logarithm
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