A Numerical Test About the Generalized B-Adic Diaphony of the Sequence of Halton

Abstract

In the present paper the authors give numerical results about the distribution of a special type of a sequence- the so-called sequence of Halton in comparison with theoretical estimations, obtained by theoretical examinations presented before. The so-called "generalized b-adic diaphony", which is based on the Walsh functional system over finite groups is taken as a measure for uniform distribution of sequences. The obtained numerical results show that the theoretical bounds about the generalized b-adic diaphony of the sequence of Halton give a frame in which numerical computations are settled.