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arxiv: math/0701183 · v1 · submitted 2007-01-06 · 🧮 math.PR

A note for extension of almost sure central limit theory

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keywords almostcentrallimitsureextensionfunctionlipschitztheorem
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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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