## On the Randomness of Independent Experiments

### Thomas Holenstein and Renato Renner

Aug 2006, Available at http://arxiv.org/abs/cs.IT/0608007.

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.

## BibTeX Citation

@misc{HolRen06, author = {Thomas Holenstein and Renato Renner}, title = {On the Randomness of Independent Experiments}, year = {2006}, month = {8}, note = {Available at http://arxiv.org/abs/cs.IT/0608007}, }

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