On the randomness of independent experiments

Thomas Holenstein; Renato Renner

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arXiv · cs/0608007

On the randomness of independent experiments

Thomas Holenstein·Renato Renner

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Abstract

Given a probability distribution P, what is the minimum amount of bits needed to store a value x sampled according to P, such that x can later be recovered (except with some small probability)? Or, what is the maximum amount of uniform randomness that can be extracted from x? Answering these and similar information-theoretic questions typically boils down to computing so-called smooth entropies. In this paper, we derive explicit and almost tight bounds on the smooth entropies of n-fold product distributions.

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Thomas Holenstein, Renato Renner. 2006-08-02. On the randomness of independent experiments. https://arxiv.org/abs/cs/0608007

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