The central limit theorem and the law of iterated logarithm for empirical processes under local conditions
A CLT and LIL are proved under \(weak\)-L\({}_ 2\) Gaussian bracketing conditions (weaker than the usual ones). These results have wide applicability and in particular provide an improvement of the Jain-Marcus central limit theorem for C(S)-valued random variables.
scientific article; zbMATH DE number 4003147
scientific article