The Annals of Mathematical Statistics

A Direct Method for Producing Random Digits in any Number System

H. Burke Horton and R. Tynes Smith III

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Abstract

A compounding technique first used to produce random binary digits is generalized and extended to other number systems. Formulae for the rate of convergence of probabilities to the desired values are derived. The method is extended to the production of random digits with fixed but unequal probabilities. Numerical results are presented in summary form together with results of tests applied to a set of random digits produced by the method.

Article information

Source
Ann. Math. Statist., Volume 20, Number 1 (1949), 82-90.

Dates
First available in Project Euclid: 28 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aoms/1177730092

Digital Object Identifier
doi:10.1214/aoms/1177730092

Mathematical Reviews number (MathSciNet)
MR29117

Zentralblatt MATH identifier
0041.26505

JSTOR
links.jstor.org

Citation

Horton, H. Burke; III, R. Tynes Smith. A Direct Method for Producing Random Digits in any Number System. Ann. Math. Statist. 20 (1949), no. 1, 82--90. doi:10.1214/aoms/1177730092. https://projecteuclid.org/euclid.aoms/1177730092


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