A Numerical Test About the Generalized B-Adic Diaphony of the Sequence of Halton
Date Issued
2008
Author(s)
Grozdanov, Vassil
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.
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.
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