Remarks on statistical independence of sequences

Peter J. Grabner, Robert F. Tichy · Czech digital mathematics library · 1994

We show that an adequate quantitative measure for statistical independence of sequences is the so-called L 2 -discrepancy, whereas the usual extremal is not suitable for this purpose.DEFINITION.Two sequences x n , y n in the unit interval U -[0,1] are called statistically independent if

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