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Date: 23-3-2021
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Date: 13-2-2021
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Date: 1-5-2021
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Given a point set in the
-dimensional unit cube
, the star discrepancy is defined as
![]() |
(1) |
where the local discrepancy is defined as
![]() |
(2) |
is the content of
, and
is the class of all
-dimensional subintervals
of
of the form
![]() |
(3) |
with for
. Here, the term "star" refers to the fact that the
-dimensional subintervals have a vertex at the origin.
REFERENCES:
Entacher, K. "Discrepancy Estimates Based on Haar Functions." Math. Computers in Simulation 55, 49-57, 2001.
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