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arxiv: 1308.3090 · v1 · pith:CYXI5D7Nnew · submitted 2013-08-14 · 🧮 math.PR

The Entropic ErdH{o}s-Kac Limit Theorem

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keywords entropiclimits-kactheoremdensitiesmaximumpartialprove
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We prove entropic and total variation versions of the Erd\H{o}s-Kac limit theorem for the maximum of the partial sums of i.i.d. random variables with densities.

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