Relation Between Statistical Tests for Pseudo-Random Number Generators and Diaphony as a Measure of Uniform Distribution of Sequences

摘要

In this paper we investigate the relation between statistical tests for pseudo-random number generators and the diaphony as a measure of uniform distribution of sequences. In order to find some relations many experiments are done. For these experiments we use generators and tests from Diehard battery. For all generated sequences, the diaphony is calculated and the tests from Diehard battery are done. Also, we made experiments using two deterministic sequences: the sequence of Van der Corput and the sequence of equidistant points.