Improved discrepancy bounds for hybrid sequences involving Halton sequences
(2012)
Acta Arithmetica
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Displaying similar documents to “A new construction of (t,s)-sequences and some improved bounds on their quality parameter”
Improved discrepancy bounds for hybrid sequences involving Halton sequences
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Irreducible Sobol' sequences in prime power bases
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Sobol' sequences are a popular family of low-discrepancy sequences, in spite of requiring primitive polynomials instead of irreducible ones in later constructions by Niederreiter and Tezuka. We introduce a generalization of Sobol' sequences that removes this shortcoming and that we believe has the potential of becoming useful for practical applications. Indeed, these sequences preserve two important properties of the original construction proposed by Sobol': their generating matrices...