Relative entropy and large deviations under sublinear expectations
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Publication:1954116
DOI10.1016/S0252-9602(12)60143-XzbMath1274.60091OpenAlexW1976481777MaRDI QIDQ1954116
Publication date: 20 June 2013
Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0252-9602(12)60143-x
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Rosenthal's inequalities for independent and negatively dependent random variables under sub-linear expectations with applications ⋮ How small are the increments of \(G\)-Brownian motion ⋮ Equivalent conditions of complete convergence and Marcinkiewicz-Zygmund-type strong law of large numbers for i.i.d. sequences under sub-linear expectations ⋮ Large deviation principle for linear processes generated by real stationary sequences under the sub-linear expectation ⋮ A non-exponential extension of Sanov’s theorem via convex duality ⋮ Self-normalized moderate deviation and laws of the iterated logarithm under \(G\)-expectation ⋮ Moderate deviations for nonhomogeneous Markov chains ⋮ Donsker's invariance principle under the sub-linear expectation with an application to Chung's law of the iterated logarithm ⋮ Complete convergence and complete moment convergence for arrays of rowwise negatively dependent random variables under sub-linear expectations
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