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March, 1949 A Direct Method for Producing Random Digits in any Number System
H. Burke Horton, R. Tynes Smith III
Ann. Math. Statist. 20(1): 82-90 (March, 1949). DOI: 10.1214/aoms/1177730092


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.


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H. Burke Horton. R. Tynes Smith III. "A Direct Method for Producing Random Digits in any Number System." Ann. Math. Statist. 20 (1) 82 - 90, March, 1949.


Published: March, 1949
First available in Project Euclid: 28 April 2007

zbMATH: 0041.26505
MathSciNet: MR29117
Digital Object Identifier: 10.1214/aoms/1177730092

Rights: Copyright © 1949 Institute of Mathematical Statistics

Vol.20 • No. 1 • March, 1949
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