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L p-discrepancy and statistical independence of sequences

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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

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Authors and Affiliations

  1. Institut für Mathematik A, Technische Universität Graz, Steyrergasse 30, A-8010, GRAZ, Austria

    Peter J. Grabner, Oto Strauch & Robert F. Tichy

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  1. Peter J. Grabner
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  2. Oto Strauch
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  3. Robert F. Tichy
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Grabner, P.J., Strauch, O. & Tichy, R.F. L p-discrepancy and statistical independence of sequences. Czechoslovak Mathematical Journal 49, 97–110 (1999). https://doi.org/10.1023/A:1022460225387

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  • DOI: https://doi.org/10.1023/A:1022460225387

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