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Iterating Von Neumann's Procedure for Extracting Random Bits

Yuval Peres
The Annals of Statistics
Vol. 20, No. 1 (Mar., 1992), pp. 590-597
Stable URL: http://www.jstor.org/stable/2242181
Page Count: 8
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Iterating Von Neumann's Procedure for Extracting Random Bits
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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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