Statistical independence properties of inversive pseudorandom vectors over parts of the period

Authors:
Frank Emmerich
Affiliations:
Technische Univ. Darmstadt, Darmstadt, Germany
Venue:
ACM Transactions on Modeling and Computer Simulation (TOMACS) - Special issue on modeling and analysis of stochastic systems
Year:
1998

Citing 3
Cited 1

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Pseudorandom vector generation by the inversive method

ACM Transactions on Modeling and Computer Simulation (TOMACS)
Inversive pseudorandom number generators: concepts, results and links

WSC '95 Proceedings of the 27th conference on Winter simulation

Average equidistribution and statistical independence properties of digital inversive pseudorandom numbers over parts of the period

Mathematics of Computation

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Abstract

This article deals with the inversive method for generating uniform pseudorandom vectors. Statistical independence properties of the generated pseudorandom vector sequences over parts of the period are considered based on the discrete discrepancy of corresponding point sets. An upper bound for the average value of these discrete discrepancies is established.