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Estimates for the Volume of Points of (0, s)-Sequences in Base b ≥ s ≥ 2

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Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing

Part of the book series: Lecture Notes in Statistics ((LNS,volume 106))

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Abstract

In this paper we suggest a notion of volume of points and we estimate the volume of points for (0, s)-sequences which are among the best sequences with low-discrepancy (cf. [1], [7], [8] and [6]).

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References

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Author information

Authors and Affiliations

  1. Universitè d’Evry-Val d’Essonne, Bd des Coquibus, F-91000, Evry, France

    Yi-Jun Xiao

  2. CERMA-ENPC, La Courtine, F-93167, Noisy le Grand Cedex, France

    Yi-Jun Xiao

Authors
  1. Yi-Jun Xiao
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Editor information

Editors and Affiliations

  1. Institüt für Informationsverabeitung, Osterreichische Akademie der Wissenschaften, Sonnenfelsgasse 19/2, A-1010, Wien, Austria

    Harald Niederreiter

  2. Department of Mathematical Sciences, University of Nevada, Las Vegas, 89154, Las Vegas, Nevada, USA

    Peter Jau-Shyong Shiue

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© 1995 Springer-Verlag New York, Inc.

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Xiao, YJ. (1995). Estimates for the Volume of Points of (0, s)-Sequences in Base b ≥ s ≥ 2. In: Niederreiter, H., Shiue, P.JS. (eds) Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing. Lecture Notes in Statistics, vol 106. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2552-2_24

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  • DOI: https://doi.org/10.1007/978-1-4612-2552-2_24

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-94577-4

  • Online ISBN: 978-1-4612-2552-2

  • eBook Packages: Springer Book Archive

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