L p -discrepancy and statistical independence of sequences

Peter J. Grabner; Oto Strauch; Robert Franz Tichy

Czechoslovak Mathematical Journal (1999)

  • Volume: 49, Issue: 1, page 97-110
  • ISSN: 0011-4642

Abstract

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We characterize statistical independence of sequences by the L p -discrepancy and the Wiener L p -discrepancy. Furthermore, we find asymptotic information on the distribution of the L 2 -discrepancy of sequences.

How to cite

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Grabner, Peter J., Strauch, Oto, and Tichy, Robert Franz. "$L^p$-discrepancy and statistical independence of sequences." Czechoslovak Mathematical Journal 49.1 (1999): 97-110. <http://eudml.org/doc/30468>.

@article{Grabner1999,
abstract = {We characterize statistical independence of sequences by the $L^p$-discrepancy and the Wiener $L^p$-discrepancy. Furthermore, we find asymptotic information on the distribution of the $L^2$-discrepancy of sequences.},
author = {Grabner, Peter J., Strauch, Oto, Tichy, Robert Franz},
journal = {Czechoslovak Mathematical Journal},
keywords = {sequences; statistical independence; discrepancy; distribution functions; sequences; statistical independence; discrepancy; distribution functions},
language = {eng},
number = {1},
pages = {97-110},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {$L^p$-discrepancy and statistical independence of sequences},
url = {http://eudml.org/doc/30468},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Grabner, Peter J.
AU - Strauch, Oto
AU - Tichy, Robert Franz
TI - $L^p$-discrepancy and statistical independence of sequences
JO - Czechoslovak Mathematical Journal
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 1
SP - 97
EP - 110
AB - We characterize statistical independence of sequences by the $L^p$-discrepancy and the Wiener $L^p$-discrepancy. Furthermore, we find asymptotic information on the distribution of the $L^2$-discrepancy of sequences.
LA - eng
KW - sequences; statistical independence; discrepancy; distribution functions; sequences; statistical independence; discrepancy; distribution functions
UR - http://eudml.org/doc/30468
ER -

References

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