On the Distribution of Pseudo-Random Numbers Generated by the Linear Congruential Method. II

1 October 1974

journal article
Published by JSTOR in Mathematics of Computation

Vol. 28 (128) , 1117-1132
https://doi.org/10.2307/2005370

Abstract

The discrepancy of a sequence of pseudo-random numbers generated by the linear congruential method is estimated for parts of the period which are somewhat larger than the square root of the modulus. Applications to numerical integration are mentioned.

Keywords

This publication has 5 references indexed in Scilit:

Discrepancy and convex programming
Annali di Matematica Pura ed Applicata (1923 -), 1972
A NEW TYPE OF EXPONENTIAL SERIES
The Quarterly Journal of Mathematics, 1972
On the Distribution of Pseudo-Random Numbers Generated by the Linear Congruential Method
Mathematics of Computation, 1972
ON THE DISTRIBUTION OF DIGITS IN PERIODIC FRACTIONS
Mathematics of the USSR-Sbornik, 1972
Methods for Estimating Discrepancy
Published by Elsevier ,1972