Neave effect also occurs with Tausworthe sequences

Abstract

It is shown that the use of Box-Muller method with Tausworthe sequences for generating normal deviates can produce pathological phenomena similar to the Neave effect, which was found to occur when linear congruential sequences and the Box-Muller method are combined. Two examples of the phenomena are given for Tausworthe sequences in practical use. One of the examples demonstrates that such phenomena possibly occur even with large-period Tausworthe sequences. The author discusses the extension of the results obtained to generalized feedback shift register sequences, which are a variant of Tausworthe sequences.