F. Emmerich et T. Muller-gronbach, A law of the iterated logarithm for discrete discrepancies and its applications to pseudorandom vector sequences, STATISTICS, 32(1), 1998, pp. 75-85
In this paper we prove a law of the iterated logarithm for discrete discrep
ancies. This result is applied to the analysis of the statistical independe
nce properties of pseudorandom vectors generated by the inversive and the c
ompound inversive method.