A law of the iterated logarithm for discrete discrepancies and its applications to pseudorandom vector sequences

Citation
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
Citations number
14
Categorie Soggetti
Mathematics
Journal title
STATISTICS
ISSN journal
02331888 → ACNP
Volume
32
Issue
1
Year of publication
1998
Pages
75 - 85
Database
ISI
SICI code
0233-1888(1998)32:1<75:ALOTIL>2.0.ZU;2-C
Abstract
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.