A note for extension of almost sure central limit theory

Details A note for extension of almost sure central limit theory A note for extension of almost sure central limit theory

2007-01-06

arxiv.org/abs/math/0701183v1

Mathematics

Probability

8 pages

Scientific paper

H\"ormann (2006) gave an extension of almost sure central limit theorem for
bounded Lipschitz 1 function. In this paper, we show that his result of almost
sure central limit theorem is also hold for any Lipschitz function under
stronger conditions.

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