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A note for extension of almost sure central limit theory

Probability 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/0701183,
  title  = {A note for extension of almost sure central limit theory},
  author = {Yu Miao and Guangyu Yang},
  journal= {arXiv preprint arXiv:math/0701183},
  year   = {2007}
}

Comments

8 pages

R2 v1 2026-07-22T17:48:57.098Z