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L p-discrepancy and statistical independence of sequences |
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| Authors: | Peter J Grabner Oto Strauch Robert F Tichy |
| Institution: | (1) Institut für Mathematik A, Technische Universität Graz, Steyrergasse 30, A-8010 GRAZ, Austria |
| 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 |
| Keywords: | sequences statistical independence discrepancy distribution functions |
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