The central limit theorem and the law of iterated logarithm for empirical processes under local conditions
- Cite this article as:
- Andersen, N.T., Giné, E., Ossiander, M. et al. Probab. Th. Rel. Fields (1988) 77: 271. doi:10.1007/BF00334041
A CLT and a LIL are proved under weak-L2 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.