%0 Journal Article
%T Discrepancy bounds for hybrid sequences involving digital explicit inversive pseudorandom numbers
%A Harald Niederreiter
%A Arne Winterhof
%J Uniform Distribution Theory
%D 2011
%I Mathematical Institute of the Slovak Academy of Sciences
%X We consider hybrid sequences, that is, sequences in a multidimensional unit cube that are composed from low-discrepancy sequences and sequences of pseudorandom numbers. We establish the first nontrivial deterministic discrepancy bounds for three kinds of hybrid sequences that are obtained by ”°mixing”± low-discrepancy sequences and digital explicit inversive sequences. Such hybrid sequences are of interest for high-dimensional numerical integration since they combine the advantages of Monte Carlo methods and quasi-Monte Carlo methods.
%K Discrepancy
%K hybrid sequence
%K Halton sequence
%K Kronecker sequence
%K inversive sequence
%K quasi-Monte Carlo method
%U http://www.boku.ac.at/MATH/udt/vol06/no1/4NieWin11-1.pdf