Geodesic
$L^p$-discrepancy and statistical independence of sequences
Czechoslovak Mathematical Journal, Tome 49 (1999) no. 1, pp. 97-110.

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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.
Classification : 11K06, 11K31, 11K38
Keywords: sequences; statistical independence; discrepancy; distribution functions 
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     title = {$L^p$-discrepancy and statistical independence of sequences},
     journal = {Czechoslovak Mathematical Journal},
     pages = {97--110},
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     volume = {49},
     number = {1},
     year = {1999},
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     zbl = {1074.11509},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_1999__49_1_a9/}
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Grabner, Peter J.; Strauch, Oto; Tichy, Robert F. $L^p$-discrepancy and statistical independence of sequences. Czechoslovak Mathematical Journal, Tome 49 (1999) no. 1, pp. 97-110. http://geodesic.mathdoc.fr/item/CMJ_1999__49_1_a9/