1. $L^p$-discrepancy and statistical independence of sequences Creator: Grabner, Peter J., Strauch, Oto, and Tichy, Robert F. Format: bez média and svazek Type: model:article and TEXT Subject: sequences, statistical independence, discrepancy, and distribution functions Language: English Description: 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. Rights: http://creativecommons.org/publicdomain/mark/1.0/ and policy:public