## The Annals of Mathematical Statistics

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

### A Direct Method for Producing Random Digits in any Number System

H. Burke Horton and R. Tynes Smith III

#### 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