Iterating Von Neumann's Procedure for Extracting Random Bits

Yuval Peres

doi:10.1214/aos/1176348543

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Home > Journals > Ann. Statist. > Volume 20 > Issue 1 > Article

March, 1992 Iterating Von Neumann's Procedure for Extracting Random Bits

Yuval Peres

Ann. Statist. 20(1): 590-597 (March, 1992). DOI: 10.1214/aos/1176348543

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Abstract

Given a sequence of independent, identically distributed random biased bits, von Neumann's simple procedure extracts independent unbiased bits. In this note we show that the number of unbiased bits produced by iterating this procedure is arbitrarily close to the entropy bound.

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Yuval Peres. "Iterating Von Neumann's Procedure for Extracting Random Bits." Ann. Statist. 20 (1) 590 - 597, March, 1992. https://doi.org/10.1214/aos/1176348543