The Annals of Statistics

Iterating Von Neumann's Procedure for Extracting Random Bits

Yuval Peres

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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.

Article information

Source
Ann. Statist. Volume 20, Number 1 (1992), 590-597.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176348543

Digital Object Identifier
doi:10.1214/aos/1176348543

Mathematical Reviews number (MathSciNet)
MR1150365

Zentralblatt MATH identifier
0754.60040

JSTOR
links.jstor.org

Subjects
Primary: 94A17: Measures of information, entropy
Secondary: 60G09: Exchangeability

Keywords
Random bits entropy functional equation exchangeability

Citation

Peres, Yuval. Iterating Von Neumann's Procedure for Extracting Random Bits. Ann. Statist. 20 (1992), no. 1, 590--597. doi:10.1214/aos/1176348543. https://projecteuclid.org/euclid.aos/1176348543.


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